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

  47991 3248 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

  41947 4589 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

  15639 1220 Pages:1339-1377

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

  Jiahui Zhang, Yinhua Xia, Yan Xu

  2025-07-11

  5442 626 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

  8964 560 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

  25785 2193 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

  40949 3164 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

  30700 2645 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

  3827 374 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, Remi Abgrall, Romain Teyssier

  2019-02-25

  46255 5284 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

  49546 3302 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

  47665 3430 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

  49146 3229 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

  47645 3315 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. Roepke

  2019-04-04

  49805 3404 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

  40030 4357 Pages:1049-1075

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

  Zhen Gao, Guanghui Hu

  2017-10-02

  46553 3368 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

  49320 4002 Pages:94-130

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

  Xi Chen, Alexander Kurganov

  2023-06-06

  37730 2803 Pages:1432-1465

• Distributed and Adaptive Fast Multipole Method in Three Dimensions

  Jonathan Bull, Stefan Engblom

  2021-08-10

  59792 3320 Pages:959-984

• Balanced Monitoring of Flow Phenomena in Moving Mesh Methods

  A. van Dam, P. A. Zegeling

  2010-07-01

  41425 4313 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

  35801 1899 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

  42008 3910 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, Bjoern Sjoegreen, H. C. Yee, William D. Henshaw

  2018-03-27

  38849 3968 Pages:583-602

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

  Arnaud Duran, Fabien Marche

  2018-04-02

  38438 3150 Pages:721-760

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

  Philippe G. LeFloch, Hasan Makhlof

  2014-03-05

  41684 4056 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

  46930 5282 Pages:198-229