Search Results

• High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

  Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu

  2022-03-03

  47865 3213 Pages:771-815

• A New Approach of High Order Well-Balanced Finite Volume WENO Schemes and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms

  Y. Xing & C.-W. Shu

  2018-03-22

  41853 4518 Pages:100-134

• An Improved Modified Ghost Fluid Method for Compressible Multi-Medium Fluid Flows

  Xiaotao Zhang, Chengliang Feng, Changsheng Yu, Yibo Wang, Tiegang Liu

  2024-12-02

  15524 1175 Pages:1339-1377

• Equilibrium Preserving Space in Discontinuous Galerkin Methods for Hyperbolic Balance Laws

  Jiahui Zhang, Yinhua Xia, Yan Xu

  2025-07-11

  5300 545 Pages:109-155

• A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory

  Long Ju, Peiyao Liu, Bicheng Yan, Jin Bao, Shuyu Sun, Zhaoli Guo

  2025-05-29

  8827 516 Pages:1305-1326

• A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations

  Baifen Ren, Zhen Gao, Yaguang Gu, Shusen Xie, Xiangxiong Zhang

  2024-03-13

  25648 2150 Pages:524-552

• Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term

  Farah Kanbar, Rony Touma, Christian Klingenberg

  2022-09-29

  40855 3135 Pages:878-898

• Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations

  Yangyang Cao, Alexander Kurganov, Yongle Liu

  2023-11-08

  30570 2587 Pages:993-1042

• High Order Asymptotic Preserving Well-Balanced Finite Difference WENO Schemes for All-Mach Full Euler Equations with Gravity

  Guanlan Huang, Yulong Xing, Tao Xiong

  2025-09-05

  3664 332 Pages:1130-1172

• Capturing Near-Equilibrium Solutions: A Comparison Between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

  Maria Han Veiga, David A. Velasco-Romero, Rémi Abgrall & Romain Teyssier

  2019-02-25

  46143 5220 Pages:1-34

• High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres

  Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar, Christian Klingenberg

  2021-07-01

  49448 3261 Pages:666-708

• One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes

  Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller

  2021-01-13

  47543 3383 Pages:649-697

• A High Order Central DG Method of the Two-Layer Shallow Water Equations

  Yongping Cheng, Haiyun Dong, Maojun Li, Weizhi Xian

  2020-08-27

  49053 3197 Pages:1437-1463

• A Well-Balanced Gas Kinetic Scheme for Navier-Stokes Equations with Gravitational Potential

  Songze Chen, Zhaoli Guo, Kun Xu

  2020-07-21

  47518 3280 Pages:902-926

• Second Order Finite Volume Scheme for Euler Equations with Gravity which is Well-Balanced for General Equations of State and Grid Systems

  Jonas P. Berberich, Praveen Chandrashekar, Christian Klingenberg & Friedrich K. Röpke

  2019-04-04

  49702 3374 Pages:599-630

• A Well-Balanced and Non-Negative Numerical Scheme for Solving the Integrated Shallow Water and Solute Transport Equations

  Qiuhua Liang

  2010-07-01

  39924 4316 Pages:1049-1075

• High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

  Zhen Gao & Guanghui Hu

  2017-10-02

  46467 3335 Pages:1049-1068

• A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations

  Min Zhang, Weizhang Huang, Jianxian Qiu

  2021-12-06

  49202 3913 Pages:94-130

• A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System

  Xi Chen, Alexander Kurganov

  2023-06-06

  37634 2766 Pages:1432-1465

• Distributed and Adaptive Fast Multipole Method in Three Dimensions

  Jonathan Bull, Stefan Engblom

  2021-08-10

  59680 3275 Pages:959-984

• Balanced Monitoring of Flow Phenomena in Moving Mesh Methods

  A. van Dam & P. A. Zegeling

  2010-07-01

  41314 4242 Pages:138-170

• High Order Asymptotic Preserving and Well-Balanced Schemes for the Shallow Water Equations with Source Terms

  Guanlan Huang, Sebastiano Boscarino, Tao Xiong

  2024-06-14

  35685 1864 Pages:1229-1262

• Finite Volume Methods for Wave Propagation in Stratified Magneto-Atmospheres

  Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, Nils Henrik Risebro & Knut Waagan

  2010-07-01

  41915 3873 Pages:473-509

• Variable High-Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows, Part II: Hypersonic Nonequilibrium Flows

  Andrea Lani, Björn Sjögreen, H. C. Yee & William D. Henshaw

  2018-03-27

  38743 3949 Pages:583-602

• Discontinuous-Galerkin Discretization of a New Class of Green-Naghdi Equations

  Arnaud Duran & Fabien Marche

  2018-04-02

  38356 3121 Pages:721-760

• A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime

  Philippe G. LeFloch & Hasan Makhlof

  2014-03-05

  41610 4023 Pages:827-852

• Asymptotic-Preserving Discrete Schemes for Non-Equilibrium Radiation Diffusion Problem in Spherical and Cylindrical Symmetrical Geometries

  Xia Cui, Zhi-Jun Shen & Guang-Wei Yuan

  2018-07-03

  46827 5208 Pages:198-229