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7. Numerical simulation of two-phase multicomponent flow with reactive transport in porous media: application to geological sequestration of CO2

Author

Ahusborde Etienne, Kern Michel, and Vostrikov Viatcheslav

Subjects
Applied mathematics. Quantitative methods, T57-57.97, Mathematics, QA1-939
Abstract

In this work, we consider two-phase multicomponent flow in heterogeneous porous media with chemical reactions. Equations governing the system are the mass conservation law for each species, together with Darcy’s law and complementary equations such as the capillary pressure law. Coupling with chemistry occurs through reactions rates. These rates can either be given non-linear functions of concentrations in the case of kinetic chemical reactions or are unknown in the case of equilibrium chemical reactions (such as reactions in aqueous phase). In this latter case, each reaction gives rise to a mass action law, an algebraic relation that relates the activities of the implied species. The resulting system will couple partial differential equations with algebraic equations. The aim of this paper is to develop a numerical method for the simulation of this system. We consider a sequential approach that consists in splitting the initial problem into two sub-systems. The first subsystem is a two-phase two-component flow, while the second subsystem is devoted to a reactive transport problem. For the two-phase two-component flow part, we have used an already existing module of the open-source parallel multiphase flow simulator DuMuX. To solve the reactive transport problem, we have implemented a new module in the DuMuX framework that solves a single phase multicomponent transport problem, and we have coupled it with a locally developed code for chemical equilibrium, called ChemEqLib, through a sequential iterative approach. Then, both modules have been coupled to propose a simple, but mathematically consistent, iterative method that handles two-phase flow with reactive transport. The approach is validated on a 2D example from the literature representative of a model for the long-term fate of sequestered CO2.

Published
2015
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8. Reactive Multiphase Flow in Porous Media at the Darcy Scale: a Benchmark proposal

Author

de Hoop, Stephan, Voskov, Denis, Ahusborde, Etienne, Amaziane, Brahim, Kern, Michel, Delft University of Technology (TU Delft), Stanford University, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Simulation for the Environment: Reliable and Efficient Numerical Algorithms (SERENA), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS), and École des Ponts ParisTech (ENPC)

Subjects
[SDU.STU.GP]Sciences of the Universe [physics]/Earth Sciences/Geophysics [physics.geo-ph], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Published
2022

9. Improvement of numerical approximation of coupled multiphase multicomponent flow with reactive geochemical transport in porous media

Author

Ahusborde Etienne, Amaziane Brahim, and El Ossmani Mustapha

Subjects
Chemical technology, TP1-1185, Energy industries. Energy policy. Fuel trade, HD9502-9502.5
Abstract

In this paper, we consider a parallel finite volume algorithm for modeling complex processes in porous media that include multiphase flow and geochemical interactions. Coupled flow and reactive transport phenomena often occur in a wide range of subsurface systems such as hydrocarbon reservoir production, groundwater management, carbon dioxide sequestration, nuclear waste repository or geothermal energy production. This work aims to develop and implement a parallel code coupling approach for non-isothermal multiphase multicomponent flow and reactive transport simulation in the framework of the parallel open-source platform DuMuX. Modeling such problems leads to a highly nonlinear coupled system of degenerate partial differential equations to algebraic or ordinary differential equations requiring special numerical treatment. We propose a sequential fully implicit scheme solving firstly a multiphase compositional flow problem and then a Direct Substitution Approach (DSA) is used to solve the reactive transport problem. Both subsystems are discretized by a fully implicit cell-centred finite volume scheme and then an efficient sequential coupling has been implemented in DuMuX. We focus on the stability and robustness of the coupling process and the numerical benefits of the DSA approach. Parallelization is carried out using the DUNE parallel library package based on MPI providing high parallel efficiency and allowing simulations with several tens of millions of degrees of freedom to be carried out, ideal for large-scale field applications involving multicomponent chemistry. As we deal with complex codes, we have tested and demonstrated the correctness of the implemented software by benchmarking, including the MoMaS reactive transport benchmark, and comparison to existing simulations in the literature. The accuracy and effectiveness of the approach is demonstrated through 2D and 3D numerical simulations. Parallel scalability is investigated for 3D simulations with different grid resolutions. Numerical results for long-term fate of injected CO2 for geological storage are presented. The numerical results have demonstrated that this approach yields physically realistic flow fields in highly heterogeneous media and showed that this approach performs significantly better than the Sequential Iterative Approach (SIA).

Published
2018
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10. Fifteenth International Conference Zaragoza-Pau on Mathematics and its Applications

Author

Ahusborde, Etienne, Carbou, Gilles, Amrouche, Chérif, Gracia, José Luis, Lopez de Silanes, María Cruz, Palacios, Manuel, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), and Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[MATH]Mathematics [math], ComputingMilieux_MISCELLANEOUS
Abstract

International audience

Published
2020

11. State Of the Art Report in the fields of numerical analysis and scientific computing. Final version as of 16/02/2020 deliverable D4.1 of the HORIZON 2020 project EURAD

Author

Ahusborde, Etienne, Amaziane, Brahim, Baksay, Attila, Bator, Grażyna, Becker, D., Bednar, A., Beres, M., Blaheta, R., Böhti, Z., Bracke, G., Brazda, L., Brendler, V., Brenner, Konstantin, Brezina, J., Cancès, Clément, Chainais-Hillairet, Claire, Chave, Florent, Claret, Francis, Domesova, S., Havlova, Vaclava, Hokr, M., Horak, D., Jacques, D., Jankovsky, F., Kazymyrenko, K., Kolditz, O., Koudelka, T., Kovacs, T., Krejci, T., Kruis, J., Laloy, E., Landa, J., Lipping, T., Lukin, D., Mašín, David, Masson, Roland, Meeussen, J. C. L., Mollaali, M., Mon, A., Montenegro, L., Montoya, Vanessa, Pépin, Guillaume, Poonoosamy, J., Prasianakis, N, Saâdi, Z., Samper, J., Scaringi, Gianvito, Sochala, Pierre, Tournassat, Christophe, Yoshioka, K., Yuankai, Y., Centre National de la Recherche Scientifique (CNRS), Université de Pau et des Pays de l'Adour (UPPA), Chercheur indépendant, Uniwersytet Wroclawski, SORC, Gesellschaft für Anlagen - und Reaktorsicherheit [Köln] (GRS), Université Côte d'Azur (UCA), Reliable numerical approximations of dissipative systems (RAPSODI ), Laboratoire Paul Painlevé (LPP), Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), COmplex Flows For Energy and Environment (COFFEE), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (LJAD), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), EDF (EDF), Institut de Radioprotection et de Sûreté Nucléaire (IRSN), Bureau de Recherches Géologiques et Minières (BRGM) (BRGM), EC Grant agreement n° 847593, EURAD, European Project: 847593,EURAD(2019), Laboratoire Paul Painlevé - UMR 8524 (LPP), Centre National de la Recherche Scientifique (CNRS)-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Université de Lille-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (JAD), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), and COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[SPI]Engineering Sciences [physics], [SPI.FLUID]Engineering Sciences [physics]/Reactive fluid environment, [SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

Document information Project Acronym EURAD Project Title European Joint Programme on Radioactive Waste Management Project Type European Joint Programme (EJP) EC grant agreement No. 847593 Project starting / end date 1 st June 2019-30 May 2024 Work Package No. 4 Work Package Title Development and Improvement Of NUmerical methods and Tools for modelling coupled processes Work Package Acronym DONUT Deliverable No. 4.1

Published
2020

12. Modeling and high performance numerical simulation ofcomplex fluid flows

Author

Ahusborde, Etienne, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Université de Pau et des Pays de l'Adour, and Michel Quintard

Subjects
écoulements multiphasiques en milieu poreux, transport réactif, Mécanique des fluides numérique, CFD - Computanional Fluid Dynamics, multiphase flow in porous media, reactive transport, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Published
2019

14. High performance computing of 3D reactive multiphase flow in porous media: application to geological storage of CO2.

Author

Ahusborde, Etienne, Amaziane, Brahim, and Moulay, Mohamed Id

Subjects
*REACTIVE flow, *POROUS materials, *DEGENERATE differential equations, *ALGEBRAIC multigrid methods, *NONLINEAR equations, *HIGH performance computing, *SUPERCOMPUTERS, *MULTIPHASE flow
Abstract

In this paper, we formulate and test numerically a fully coupled fully implicit finite volume (FV) method for solving the nonlinear coupling between two-phase flows and geochemical reactions in porous media on a reservoir scale. The problem is modeled by a highly nonlinear system of degenerate partial differential equations (PDEs governing a compositional two-phase flow model) coupled to ordinary and/or algebraic differential equations (modeling kinetic and equilibrium chemical reactions respectively). The spatial discretization uses a cell-centered FV scheme. After discretizing in time with an implicit Euler scheme, the resulting systems of nonlinear algebraic equations are solved with Newton's method and the systems of linear equations are solved efficiently and in parallel with an algebraic multigrid method. We discuss two strategies for selecting local time steps. We have developed and implemented this scheme in a new module in the context of the parallel open source platform DuMuX. Parallelization is carried out using the DUNE parallel library package. Two numerical experiments are presented to demonstrate the effectiveness and efficiency of the proposed solver for 3D problems modeling scenarios of CO2 geological storage into a deep saline aquifer. We also report the parallel scalability of the proposed algorithm on a supercomputer with up to 768 processor cores. The proposed method is accurate, numerically robust and exhibits the potential for tackling realistic problems. Lastly, a comparison with a sequential method consisting in decoupling the original problem into a two-phase flow and a reactive transport problem, is performed in term of accuracy. [ABSTRACT FROM AUTHOR]

Published
2021
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15. High performance computing of 3D reactive multiphase flow in porous media: application to geological storage of CO2.

Author

Ahusborde, Etienne, Amaziane, Brahim, and Moulay, Mohamed Id

Abstract

In this paper, we formulate and test numerically a fully coupled fully implicit finite volume (FV) method for solving the nonlinear coupling between two-phase flows and geochemical reactions in porous media on a reservoir scale. The problem is modeled by a highly nonlinear system of degenerate partial differential equations (PDEs governing a compositional two-phase flow model) coupled to ordinary and/or algebraic differential equations (modeling kinetic and equilibrium chemical reactions respectively). The spatial discretization uses a cell-centered FV scheme. After discretizing in time with an implicit Euler scheme, the resulting systems of nonlinear algebraic equations are solved with Newton's method and the systems of linear equations are solved efficiently and in parallel with an algebraic multigrid method. We discuss two strategies for selecting local time steps. We have developed and implemented this scheme in a new module in the context of the parallel open source platform DuMuX. Parallelization is carried out using the DUNE parallel library package. Two numerical experiments are presented to demonstrate the effectiveness and efficiency of the proposed solver for 3D problems modeling scenarios of CO2 geological storage into a deep saline aquifer. We also report the parallel scalability of the proposed algorithm on a supercomputer with up to 768 processor cores. The proposed method is accurate, numerically robust and exhibits the potential for tackling realistic problems. Lastly, a comparison with a sequential method consisting in decoupling the original problem into a two-phase flow and a reactive transport problem, is performed in term of accuracy. [ABSTRACT FROM AUTHOR]

Published
2021
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16. Numerical Modeling and Simulation of Fully Coupled Processes of Reactive Multiphase Flow in Porous Media

Author

Ahusborde, Etienne, Amaziane, Brahim, El Ossmani, Mustapha, Id Moulay, M, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), and Université Moulay Ismail (UMI)

Subjects
Materials science, permeability-porosity changes, Multiphase flow, Numerical modeling, 010103 numerical & computational mathematics, Mechanics, nonlinear degenerate system, reactive transport, fully implicit, 01 natural sciences, Fully coupled, porous media, coupled PDE and ODE, fully coupled, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], Multiphase multicomponent flow, [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], 0101 mathematics, Porous medium, AMS: 76S05, 65M08, 76T10, 74F25, finite volume
Abstract

International audience; In this paper, we consider a finite volume approach for modelling multiphase flow coupled to geochemistry in porous media. Reactive multiphase flows are modelled by a highly nonlinear system of degenerate partial differential equations coupled with algebraic and ordinary differential equations. We propose a fully implicit scheme using a direct substitution approach (DSA) implemented in the framework of the parallel open-source platform DuMu X. We focus on the particular case where porosity changes due to mineral dissolution/precipitation are taken into account. This alteration of the porosity can have significant effects on the permeability and the tortuosity. The accuracy and effectiveness of the implementation of permeability/porosity and tortuosity/porosity relationships related to mineral dissolution/precipitation for single-phase and two-phase flows are demonstrated through numerical simulations.

Published
2019
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17. A fully implicit finite volume scheme for two-phase flow with reactive transport in porous media

Author

Ahusborde, Etienne, Amaziane, Brahim, Id Moulay, Mohamed, El Ossmani, Mustapha, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), and Université Moulay Ismail (UMI)

Subjects
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

International audience

Published
2018

18. A finite volume method for fully coupled multiphase flow and chemical processes in porous media - Applicationto CO2 storage

Author

Ahusborde, Etienne, El Ossmani, Mustapha, Id Moulay, Mohamed, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), and Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

International audience

Published
2018

19. A fully implicit finite volume scheme for single phase flow with reactive transport in porous media

Author

Ahusborde, Etienne, Amaziane, Brahim, El Ossmani, Mustapha, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), and Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

International audience

Published
2018

20. Numerical Assessment of a Class of High Order Stokes Spectrum Solver

Author

Ahusborde, Etienne, Azaïez, Mejdi, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Institut de Mécanique et d'Ingénierie de Bordeaux (I2M), Institut National de la Recherche Agronomique (INRA)-Université de Bordeaux (UB)-École Nationale Supérieure d'Arts et Métiers (ENSAM), Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM)-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM)-Institut Polytechnique de Bordeaux-Centre National de la Recherche Scientifique (CNRS), École Nationale Supérieure d'Arts et Métiers (ENSAM), and HESAM Université (HESAM)-HESAM Université (HESAM)-Institut Polytechnique de Bordeaux-Centre National de la Recherche Scientifique (CNRS)-Université de Bordeaux (UB)-Institut National de la Recherche Agronomique (INRA)

Subjects
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

International audience

Published
2018

21. Fourteenth International Conference Zaragoza-Pau on Mathematics and its Applications, Monografias delSeminario Matematico 'Garcia De Galdeano', Vol 41, Prensas Universitarias de Zaragoza

Author

Lopez de Silanes, María Cruz, Palacios, Manuel, Sanz, Gerardo, Ahusborde, Etienne, Amrouche, Chérif, Carbou, Gilles, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), and Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[MATH]Mathematics [math], ComputingMilieux_MISCELLANEOUS
Abstract

International audience

Published
2018

22. Improvement of numerical approximation of coupled two-phase multicomponent flow with reactive geochemical transport in porous media

Author

Ahusborde, Etienne, Amaziane, Brahim, El Ossmani, Mustapha, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), and Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR], [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], [MATH]Mathematics [math], ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

COM; International audience

Published
2017

23. Numerical simulation of two-phase multi-component flow with reactive transport in porous media

Author

Ahusborde, Etienne, Kern, Michel, Vostrikov, Viatcheslav, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Simulation for the Environment: Reliable and Efficient Numerical Algorithms (SERENA), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Maison de la Simulation (MDLS), Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Institut National de Recherche en Informatique et en Automatique (Inria)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Saclay-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Versailles Saint-Quentin-en-Yvelines (UVSQ), and Ahusborde, Etienne

Subjects
[INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

International audience

Published
2015

24. A Numerical Study of Two−Phase Multicomponent Flow with Reactive Transport in Porous Media

Author

Ahusborde, Etienne, Amaziane, Brahim, El Ossmani, Mustapha, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), and Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR], [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], [MATH]Mathematics [math], ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

COM; International audience

Published
2017

25. A sequential semi-implicit algorithm for computing two-phase multicomponent flow with reactive transport in porous media

Author

Ahusborde, Etienne, Amaziane, Brahim, El Ossmani, Mustapha, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), and Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR], [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], [MATH]Mathematics [math], ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

COM; International audience

Published
2017

26. Numerical modeling of coupled two-phase multicomponent flow with reactive geochemical transport in porous media

Author

Ahusborde, Etienne, Amaziane, Brahim, El Ossmani, Mustapha, Poncet, Philippe, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), and Université de Pau et des Pays de l'Adour (UPPA)

Subjects
phase multicomponent flow, Two, Reactive transport, [PHYS.MECA]Physics [physics]/Mechanics [physics], Code coupling
Abstract

International audience; Numerical modeling of coupled two-phase multicomponent flow with reactive geochemical transport in porous media

Published
2016

27. Benchmark for coupled two-phase multicomponent flow with reactive geochemical transport in porous media

Author

Ahusborde, Etienne, Amaziane, Brahim, El Ossmani, Mustapha, Poncet, Philippe, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Ecole Nationale Supérieure d'Arts et Métiers [Meknes] (ENSAM), and Ecole Nationale Supérieure d'Arts et Métiers [Meknes]

Subjects
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

International audience

Published
2016

28. A sequential numerical simulator for two-phase multicomponent flow with reactive transport in porous media

Author

Ahusborde, Etienne, Amaziane, Brahim, El Ossmani, Mustapha, Poncet, Philippe, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Ecole Nationale Supérieure d'Arts et Métiers [Meknes] (ENSAM), and Ecole Nationale Supérieure d'Arts et Métiers [Meknes]

Subjects
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

International audience

Published
2015

29. Proceedings of the 6th International Conference on Approximation Methods and Numerical Modelingin Environment and Natural Resources: MAMERN 15, Editorial Universidad de Granada

Author

Amaziane, Brahim, Ahusborde, Etienne, Barrera-Rosillo, Domingo, Ibañez-Pérez, Maria José, Romero-Zalir, Rocio, Sbibih, Driss, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Departamento de Matemática Aplicada [Granada], Universidad de Granada (UGR), Departamento de Matematica Aplicada (E-GRAN-AM), Département de Mathématiques et Informatique Université Mohammed 1er (MRC-UMIS), and Université Mohammed Premier [Oujda]

Subjects
[MATH]Mathematics [math], ComputingMilieux_MISCELLANEOUS
Abstract

International audience

Published
2015

30. Particle methods for transport in porous media at the pore scale

Author

Ahusborde, Etienne, Amaziane, Brahim, Poncet, Philippe, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), and Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[MATH]Mathematics [math], ComputingMilieux_MISCELLANEOUS
Abstract

COM; International audience

Published
2015

33. Twelfth International Conference Zaragoza-Pau on Mathematics

Author

Silanes, M.C., Palacios, M., Sanz, G., Ahusborde, Etienne, Amrouche, Chérif, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), and Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

DO; International audience; no abstract

Published
2014

34. Simulation numérique d'écoulements diphasiques multiconstituants avec transport réactif en milieu poreux : application au stockage géologique du CO2

Author

Ahusborde, Etienne, Kern, Michel, Vostrikov, Viatcheslav, Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Environmental Modeling, Optimization and Programming Models (POMDAPI), Inria Paris-Rocquencourt, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Maison de la Simulation (MDLS), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Saclay-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Versailles Saint-Quentin-en-Yvelines (UVSQ), and Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Institut National de Recherche en Informatique et en Automatique (Inria)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)

Subjects
ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

COM; International audience; no abstract

Published
2014

35. 3D numerical simulation by upscaling of gas migration through engineered and geological barriers for a deep repository for radioactive waste

Author

Ahusborde, Etienne, Amaziane, Brahim, Jurak, M., Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), and Université de Pau et des Pays de l'Adour (UPPA)

Subjects
surgical procedures, operative, education, [MATH]Mathematics [math], musculoskeletal system, human activities, health care economics and organizations
Abstract

ACL; International audience

Published
2014

36. Discrete Hodge Helmoltz Decomposition

Author

Ahusborde, Etienne, Azaïez, M., Caltagirone, J.P., Gerritsma, M., Lemoine, A., Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Transferts, écoulements, fluides, énergétique (TREFLE), Université Sciences et Technologies - Bordeaux 1-École Nationale Supérieure de Chimie et de Physique de Bordeaux (ENSCPB)-Centre National de la Recherche Scientifique (CNRS), Institut de Chimie Pharmaceutique Albert Lespagnol (ICPAL), and Université de Lille, Droit et Santé

Subjects
surgical procedures, operative, TheoryofComputation_LOGICSANDMEANINGSOFPROGRAMS, education, musculoskeletal system, ComputingMethodologies_ARTIFICIALINTELLIGENCE, human activities, ComputingMilieux_MISCELLANEOUS, health care economics and organizations, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

ACL; International audience; no abstract

Published
2014

37. Discrete Hodge Helmoltz Decomposition

Author

Ahusborde, Etienne, Azaïez, M., Lemoine, A., Gerritsma, M., Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Transferts, écoulements, fluides, énergétique (TREFLE), and Université Sciences et Technologies - Bordeaux 1-École Nationale Supérieure de Chimie et de Physique de Bordeaux (ENSCPB)-Centre National de la Recherche Scientifique (CNRS)

Subjects
ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

COM; International audience; no abstract

Published
2012

38. Thermal characterization of heterogeneous materials : phases and interfaces recognition

Author

Godin, A., Palomo Del Barrio, E., Azaiez, M., Ahusborde, Etienne, Dauvergne, J.L., Transferts, écoulements, fluides, énergétique (TREFLE), Université Sciences et Technologies - Bordeaux 1-École Nationale Supérieure de Chimie et de Physique de Bordeaux (ENSCPB)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), and Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

COM; International audience; no abstract

Published
2011

39. Constraint oriented spectral element method

Author

Ahusborde, Etienne, Azaïez, M., Gruber, R., Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Transferts, écoulements, fluides, énergétique (TREFLE), Université Sciences et Technologies - Bordeaux 1-École Nationale Supérieure de Chimie et de Physique de Bordeaux (ENSCPB)-Centre National de la Recherche Scientifique (CNRS), and Ecole Polytechnique Fédérale de Lausanne (EPFL)

Subjects
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

cited By (since 1996)0; International audience; An original polynomial approximation to solve partial differential equations is presented. This spectral element version takes into account the underlying nature of the corresponding physical problem. For different types of operators, this approach allows to all terms in a variational form to be represented by the same functional dependence and by the same regularity, thus eliminating regularity constraints imposed by standard numerical methods. This method satisfies automatically different type of constraints, such as occur for the grad(div) and curl(curl) operators, and this for any geometry. It can be applied to a wide range of physical problems [Physical Review E, 75(5), 056704 (2007)], including fluid flows, electromagnetism, material sciences, ideal linear magnetohydrodynamic stability analysis, and Alfvèn wave heating of fusion plasmas [Communications in Computational Physics, 5(2-4), 413-425 (2009)]. © 2011 Springer.

Published
2011

40. Cool@HPC

Author

Ahusborde, Etienne, Azaïez, M., Gruber, R., Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Transferts, écoulements, fluides, énergétique (TREFLE), Université Sciences et Technologies - Bordeaux 1-École Nationale Supérieure de Chimie et de Physique de Bordeaux (ENSCPB)-Centre National de la Recherche Scientifique (CNRS), and Ecole Polytechnique Fédérale de Lausanne (EPFL)

Subjects
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

cited By (since 1996)0; International audience; A non-standard numerical approach called COOL (COnstraint Oriented Library) is presented. It enables to solve partial differential operators describing the nature without generating non-physical solutions. External constraints such as Δ*u=0 as appearing in Maxwell's or Navier-Stokes equations can be handled by an elimination process, thus reducing the number of variables to the number of the physical problem. As a consequence, there are no non-physical modes. Operators with internal constraints including singularities in the spectrum as in Maxwell's and magneto-hydrodynamics (MHD) are well represented. This implies that the mathematically unstable spectrum pollution does not appear. It is shown how this new numerical approximation method will be implemented to run on HPC machines. © 2010 American Institute of Physics.

Published
2010

41. Multiphase flow simulations in a block-structured framework

Author

Glockner, S., Ahusborde, Etienne, Transferts, écoulements, fluides, énergétique (TREFLE), Université Sciences et Technologies - Bordeaux 1-École Nationale Supérieure de Chimie et de Physique de Bordeaux (ENSCPB)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), and Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

COM; International audience; no abstract

Published
2010

42. Calcul de spectre sous contraintes : Cas de l'opérateur grad(div(.))

Author

Azaïez, M., Ahusborde, Etienne, Transferts, écoulements, fluides, énergétique (TREFLE), Université Sciences et Technologies - Bordeaux 1-École Nationale Supérieure de Chimie et de Physique de Bordeaux (ENSCPB)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), and Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

ACT; International audience; no abstract

Published
2009

43. Modes of A Plasma-Filled Waveguide Determined by A High Order Method

Author

Azaïez, M., Ahusborde, Etienne, Gruber, R., Transferts, écoulements, fluides, énergétique (TREFLE), Université Sciences et Technologies - Bordeaux 1-École Nationale Supérieure de Chimie et de Physique de Bordeaux (ENSCPB)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), and Ecole Polytechnique Fédérale de Lausanne (EPFL)

Subjects
ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

COM; International audience; no abstract

Published
2009

44. Calcul de spectre sous contraintes

Author

AZAIEZ, Majdi, AHUSBORDE, Etienne, Service irevues, irevues, and Association Française de Mécanique

Subjects
[PHYS.MECA]Physics [physics]/Mechanics [physics], [PHYS.MECA] Physics [physics]/Mechanics [physics]
Abstract

Colloque avec actes et comité de lecture. Internationale.; International audience; Le calcul de spectre d’opérateurs sous contrainte est connu pour être difficile problème numérique difficile. La présence d’une ou de plusieurs contraintes conduit à la mise en place de schémas spécifiques. Selon la nature de la contrainte on a recourt à des techniques de stabilisation appropriées. Le but de cette contribution et de présenter une technique d’approximation du type hp ayant l’avantage de s’adapter à différents type de contraintes. Nous décrivons l’approche et nous apportons quelques résultats numériques.

Published
2009

45. High order scheme for the non-local transport in ICF plasma

Author

Feugeas, Jean-Luc, Nicolai, Philippe, Schurtz, Guy, Charrier, Pierre, Ahusborde, Etienne, Centre d'Etudes Lasers Intenses et Applications (CELIA), Centre National de la Recherche Scientifique (CNRS)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université de Bordeaux (UB), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Université de Bordeaux (UB)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Centre National de la Recherche Scientifique (CNRS), and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[PHYS.PHYS.PHYS-PLASM-PH]Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS
Abstract

International audience

Published
2006
Full Text
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47. Legendre spectral methods for the -grad(div) operator

Author

Ahusborde, Etienne, Azaïez, Mejdi, Deville, Michel, Mund, Ernest, Ahusborde, Etienne, Azaïez, Mejdi, Deville, Michel, and Mund, Ernest

Abstract

This paper describes two Legendre spectral methods for the -grad(div) eigenvalue problem in R2. The first method uses a single grid resulting from the PN ⊗ PN discretization in primal and dual variational formulations. As is well-known, this method is unstable and exhibits spectral 'pollution' effects: increased number of singular eigenvalues, and increased multiplicity of some eigenvalues belonging to the regular spectrum. Our study aims at the understanding of these effects. The second spectral method is based on a staggered grid of the PN ⊗ PN - 1 discretization. This discretization leads to a stable algorithm, free of spurious eigenmodes and with spectral convergence of the regular eigenvalues/eigenvectors towards their analytical values. In addition, divergence-free vector fields with sufficient regularity properties are spectrally projected onto the discrete kernel of -grad(div), a clear indication of the robustness of this algorithm. © 2007 Elsevier B.V. All rights reserved., SCOPUS: ar.j, info:eu-repo/semantics/published

Published
2007

48. COOL@HPC

Author

Ahusborde, Etienne, primary, Azaïez, Mejdi, additional, Gruber, Ralf, additional, Simos, Theodore E., additional, Psihoyios, George, additional, and Tsitouras, Ch., additional

Published
2010
Full Text
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