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7 results on '"Haiqiang Xiao"'

3. Decoupled CNLF Modular Grad-Div Stabilized Scheme for the Fluid-Fluid Interaction Problems.

Author

Haiqiang Xiao, Chunya Wu, Feng Xue, Lingzhi Qian, and Huiping Cai

Subjects
*ALGORITHMS
Abstract

In this paper, we present a Crank-Nicolson leapfrog (CNLF) time stepping decoupled scheme for the fluid-fluid interaction problems. The scheme is based on the modular grad-div stabilized (MGDS) method which is very efficient for the fluid-fluid interaction problems. The algorithm is very simple to implement and retain the benefits of grad-div stabilization. The unconditional stability of the proposed scheme is proven rigorously. Numerical tests are given to verify the efficiency and robustness of the proposed scheme. [ABSTRACT FROM AUTHOR]

Published
2022

4. Simultaneously high mass-loading and volumetric energy density in Ag2O-intercalated MnO2-based supercapacitor with rapid electron/ion transport channels

Author

Changjin Guo, Jiyang Xie, Haiqiang Xiao, Huan Liu, Wanbiao Hu, and Yongyun Mao

Subjects
Supercapacitor, Materials science, business.industry, General Chemical Engineering, General Chemistry, Electrochemistry, Electron transport chain, Industrial and Manufacturing Engineering, Ion, Percolation, Electrode, Environmental Chemistry, Optoelectronics, business, Ion transporter, Template method pattern
Abstract

High volumetric energy density (VED) is essential for supercapacitors’ practicality, but is extremely challengeable when high mass-loading is simultaneously demanded, because the high mass-loaded electrode always encounters the limited ions-diffusion accessibility and sluggish electron transferability. Herein, for the first time, Ag2O-intercalated hollow MnO2 (Ag2O-HMnO2) electrode with rapid ion/electron transport channels is rationally designed and fabricated by a facile in-suit growth & self-sacrificing template method. Ultrahigh mass-loading benefits from the randomly arrayed MnO2-nanosheets fully covered on silver-nanowire@polypyrrole (AgNW@PPy-template). Vast interior space in MnO2, which forms after the oxidative decomposition of AgNW@PPy-template, offers large electrode–electrolyte interfaces and huge open space channel for unimpeded ions transport. Such Ag2O-intercalated hierarchical hollow structure not only provides spacious “ion transport channel” (hollow interior space) and “reservoir” (much space between neighboring MnO2-nanosheets) for ions diffusion/storage, but also boosts electron transferability via the conductive Ag2O-particulate-based percolation networks. As a consequence, Ag2O-HMnO2 exhibits excellent electrochemistry performance and unprecedented MnO2 utilization efficiency. Ag2O-HMnO2-based supercapacitor exhibits a remarkably enhanced VED of 7.33 mWh cm−3, approximately sixfold improvement compared to that of pristine MnO2. The novel structure engineering strategy presented herein facilitates the excellent ion/electron transferability, which may open a new avenue for transition-metal-oxide/hydroxides-based supercapacitors to achieve high mass-loading and VED.

Published
2021

6. Modular Grad-Div Stabilization and Defect-Deferred Correction Method for the Navier-Stokes Equations.

Author

Huiping Cai, Feng Xue, Haiqiang Xiao, Yang He, and Lingzhi Qian

Subjects
*ALGORITHMS, *NOISE control, *COMPUTER simulation
Abstract

We present the modular grad-div stabilization and defect-deferred correction (MGDDC) method for the incompressible Navier-Stokes equations. The new algorithm does not suffer from either solver breakdown or debilitating slow down for large values of grad-div parameters. Furthermore, it is improving two aspects of the numerical simulations for the problem. In the first step, a deferred correction method lifts the numerical order of accuracy from first order to second order in terms of the time interval. In the second step, a further defect correction is included as well, which is often included to control numerical noise. Stability analysis and optimal-order convergence of the method are proven. Numerical tests are presented to highlight the accuracy and effectiveness of the algorithms. [ABSTRACT FROM AUTHOR]

Published
2021

7. Linearly and Unconditionally Energy Stable Schemes for Phase-Field Vesicle Membrane Model.

Author

Yang He, Yuting Zhang, Lingzhi Qian, Huiping Cai, and Haiqiang Xiao

Subjects
*SURFACE area, *ARTIFICIAL membranes, *ENERGY consumption
Abstract

In this work, we present two linearly and unconditionally energy stable numerical schemes for a vesicle membrane model that exactly satisfies the conservation of volume constraint and penalizes the surface area constraint. First of all, we introduce some auxiliary variables to transform the original model into an equivalent system using the energy quadratization(EQ) technique. Moreover, with the transformed free energy a quadratic functional with respect to the new variables and the modified energy dissipative law is satisfied. Then an implicit-explicit(IMEX) time discrete technique for the semi-discrete scheme is used to construct two linearly and unconditionally energy stable fully discrete schemes for the model. Finally, numerical experiments are presented to demonstrate the accuracy and unconditionally energy-stability of the proposed schemes. [ABSTRACT FROM AUTHOR]

Published
2023

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