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• Role of Fluxes in High-Order Godunov Schemes

  Matania Ben-Artzi

  2026-05-01

  177 33 Pages:1405-1420

• Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

  Gabriella Puppo, Matteo Semplice, Giuseppe Visconti

  2024-07-29

  26955 1829 Pages:30-70

• High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

  Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu

  2024-07-29

  28121 2047 Pages:1-29

• The Effective Use of BLAS Interface for Implementation of Finite-Element ADER-DG and Finite-Volume ADER-WENO Methods

  I. S. Popov

  2025-09-18

  4677 402 Pages:1237-1330

• The Phase Transition Model for Heat-Shrinkable Thermo-Sensitive Hydrogels Based on Interaction Energy

  Qiujin Peng, Hui Zhang, Zhengru Zhang

  2020-07-30

  40730 3016 Pages:594-614

• A Novel Multipoint Stress Control Volume Method for Linear Elasticity on Quadrilateral Grids

  Shubin Fu, Lina Zhao

  2025-07-11

  5248 640 Pages:285-316

• An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes

  Xiaolong Zhao, Shicang Song, Xijun Yu, Shijun Zou, Fang Qing

  2024-01-31

  28919 2614 Pages:107-138

• An Adaptive Moving Mesh Method for the Five-Equation Model

  Yaguang Gu, Dongmi Luo, Zhen Gao, Yibing Chen

  2022-07-06

  42984 3747 Pages:189-221

• Field Model for Complex Ionic Fluids: Analytical Properties and Numerical Investigation

  Jian-Guo Liu, Jinhuan Wang, Yu Zhao, Zhennan Zhou

  2021-07-01

  48038 3272 Pages:874-902

• An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces

  Xianmin Xu, Wenjun Ying

  2020-11-26

  46696 4391 Pages:57-79

• Simulation of Three-Dimensional Free-Surface Flows Using Two-Dimensional Multilayer Shallow Water Equations

  Saida Sari, Thomas Rowan, Mohammed Seaid, Fayssal Benkhaldoun

  2020-05-06

  49999 3635 Pages:1413-1442

• A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

  Qiannan Dong, Shuai Su, Jiming Wu

  2020-05-06

  50296 3700 Pages:1378-1412

• A Finite Volume Upwind-Biased Centred Scheme for Hyperbolic Systems of Conservation Laws: Application to Shallow Water Equations

  Guglielmo Stecca, Annunziato Siviglia, Eleuterio F. Toro

  2012-12-01

  39979 4012 Pages:1183-1214

• Numerical Study of Heat and Moisture Transfer in Textile Materials by a Finite Volume Method

  C. Ye, H. Huang, J. Fan, W. Sun

  2008-04-01

  39060 4187 Pages:929-948

• Numerical Simulation of Compositional Flow in Porous Media Under Gravity

  Zhangxin Chen, Guoqiang (Joe) Zhou, Dan Carruthers

  2006-01-01

  39186 4085 Pages:827-846

• Maximum-Principle-Preserving and Positivity-Preserving Central WENO Schemes on Overlapping Meshes

  Zhanjing Tao, Zhengfu Xu, Jianxian Qiu

  2026-01-18

  743 116 Pages:1164-1198

• Thermodynamically Consistent Modeling and Energy Stable Numerical Simulation of Multicomponent Compressible Flow in Poroelastic Media

  Jisheng Kou, Amgad Salama, Huangxin Chen, Shuyu Sun

  2026-01-03

  2060 176 Pages:815-854

• A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

  Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu

  2026-02-15

  4083 200 Pages:387-416

• Local Virtual Element Basis Functions for Space-Time Discontinuous Galerkin Schemes on Unstructured Voronoi Meshes

  Walter Boscheri, Giulia Bertaglia

  2024-09-06

  24028 1666 Pages:348-388

• Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations

  Rik Verbiest, Julian Koellermeier

  2025-09-02

  10355 570 Pages:810-848

• Three-Dimensional Simulation of Balloon Dynamics by the Immersed Boundary Method Coupled to the Multiple-Relaxation-Time Lattice Boltzmann Method

  Jiayang Wu, Yongguang Cheng, Chunze Zhang, Wei Diao

  2018-04-02

  41507 3261 Pages:1271-1300

• Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes

  Jun Zhu, Jianxian Qiu

  2012-11-01

  42586 4218 Pages:985-1005

• Balanced Monitoring of Flow Phenomena in Moving Mesh Methods

  A. van Dam, P. A. Zegeling

  2010-07-01

  41423 4313 Pages:138-170

• Low-Dissipation Central-Upwind Schemes for Elasticity in Heterogeneous Media

  Alexander Kurganov, Zepei Liu, Michael Pollack, Ruixiao Xin

  2025-07-11

  5270 635 Pages:156-180

• Adaptive Multi-Resolution Method for 3D Reactive Flows with Level Set Front Capturing

  Wenhua Ma, Dongmi Luo, Wenjun Ying, Guoxi Ni, Min Xiao, Yibing Chen

  2023-04-28

  32694 2970 Pages:849-883

• A Simple 3D Immersed Interface Method for Stokes Flow with Singular Forces on Staggered Grids

  Weiyi Wang, Zhijun Tan

  2021-04-30

  49252 4953848 Pages:227-254

• High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

  Liang Pan, Kun Xu

  2020-08-27

  49140 3309 Pages:1321-1351