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A robust high-resolution discrete-equations method for compressible multi-phase flow with accurate interface capturing.
- Source :
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Journal of Computational Physics . Oct2023, Vol. 491, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
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Abstract
- The discrete-equations method (DEM) [1] provides a universal approach to solve multi-phase-flow equations as it combines the solutions of pairwise Riemann problems. Although very robust, the original DEM with piecewise-constant volume fractions suffers from strong diffusion preventing accurate interface capturing. High-order interface reconstruction, however, introduces a restrictive time-step limit. This paper presents RDEMIC, a robust extension of DEM for accurate interface capturing on Cartesian meshes. By a modified partitioning of the Riemann solutions and a specific combination of fluxes and non-conservative terms, the time-step restriction is effectively prevented, which is critical for making the method practically applicable. Moreover, the accuracy of interface and shock-wave propagation is maintained. RDEMIC is not limited to two-phase flow but defined for an arbitrary number of phases. The method is combined with a THINC scheme [2] to reconstruct volume fractions. The reconstruction is enhanced by a positivity-preserving averaging procedure, which is consistent with the underlying multi-stage Runge–Kutta scheme of the flow solver. The resulting scheme consisting of RDEMIC and the positivity-preserving THINC reconstruction is very robust and captures the interface with high accuracy. We demonstrate its performance for various cases of shock-interface interactions, which show very good agreement with reference results from literature. • Robust high-resolution numerical model and algorithm for compressible multi-phase flow with arbitrary number of phases. • No further time-step restrictions implied by high-order interface reconstruction. • Accurate capturing and advection of multi-phase interfaces with positivity preservation. • No numerical artifacts for wave propagation across interfaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00219991
- Volume :
- 491
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Physics
- Publication Type :
- Academic Journal
- Accession number :
- 170067899
- Full Text :
- https://doi.org/10.1016/j.jcp.2023.112371