Search Results

• Upwind Biased Local RBF Scheme with PDE Centres for the Steady Convection Diffusion Equations with Continuous and Discontinuous Boundary Conditions

  K. Monysekar, Y. V. S. S. Sanyasiraju

  2019-12-07

  45099 3142 Pages:460-479

• 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

  39896 3982 Pages:1183-1214

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

  Alexander Kurganov, Zepei Liu, Michael Pollack, Ruixiao Xin

  2025-07-11

  5127 556 Pages:156-180

• Solving Two-Mode Shallow Water Equations Using Finite Volume Methods

  Manuel Jesús Castro Díaz, Yuanzhen Cheng, Alina Chertock & Alexander Kurganov

  2014-11-08

  41806 4183 Pages:1323-1354

• Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models

  Shaoshuai Chu, Alexander Kurganov, Saeed Mohammadian, Zuduo Zheng

  2023-04-28

  32219 2932 Pages:692-732

• Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme

  Yifan Xia, Jianjing Zheng, Jianfeng Zou, Jifa Zhang, Gaofeng Wang, Yao Zheng

  2022-01-27

  42693 3246 Pages:626-644

• On the Reduction of Numerical Dissipation in Central-Upwind Schemes

  A. Kurganov & C. T. Lin

  2007-02-01

  39656 4700 Pages:141-163

• 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

• Further Study on Errors in Metric Evaluation by Linear Upwind Schemes with Flux Splitting in Stationary Grids

  Qin Li, Dong Sun, Pengxin Liu

  2019-10-31

  41807 4168 Pages:64-94

• A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes

  Ang Li, Hongtao Yang, Yulong Gao, Yonghai Li

  2024-01-31

  30212 2641 Pages:239-272

• Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System

  Alina Chertock, Yongle Liu

  2019-12-07

  45524 3356 Pages:480-502

• The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

  Ping Zeng, Guanyu Zhou

  2024-05-06

  27987 2049 Pages:1073-1119

• A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations

  Abdullah Shah, Hong Guo & Li Yuan

  2018-04-11

  41534 3491 Pages:712-729

• Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

  Yuan Gao, Jian-Guo Liu

  2023-08-14

  33101 3232 Pages:132-172

• 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

• Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes

  B. van Leer

  2018-03-24

  40733 5542 Pages:192-206 Open-access

• Development of Cartesian Grid Method and Local Grid Refinement for Discrete Velocity Method

  Zijian Liu, Songze Chen, Shiyi Chen

  2025-08-08

  4569 473 Pages:375-403

• AUSM-Based High-Order Solution for Euler Equations

  Angelo L. Scandaliato & Meng-Sing Liou

  2012-12-01

  40926 4105 Pages:1096-1120

• Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

  Kunmin Sung, Youngsoo Ha, Myungjoo Kang

  2020-02-23

  50079 3333 Pages:949-975

• A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

  Lin Fu

  2019-07-02

  48541 3257 Pages:973-1007

• A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes.

  Bin Lan, Zhiqiang Sheng & Guangwei Yuan

  2018-09-17

  45060 3682 Pages:1455-1476

• Incorporation of NURBS Boundary Representation with an Unstructured Finite Volume Approximation

  Yifan Xia, Gaofeng Wang, Yao Zheng, Tingwei Ji & Ching Y. Loh

  2018-09-17

  46252 3224 Pages:791-809

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

  Zhen Gao & Guanghui Hu

  2017-10-02

  46467 3335 Pages:1049-1068

• Designing Several Types of Oscillation-Less and High-Resolution Hybrid Schemes on Block-Structured Grids

  Zhenhua Jiang, Chao Yan, Jian Yu & Boxi Lin

  2018-04-09

  41977 3364 Pages:1376-1407

• A Simple Explanation of Superconvergence for Discontinuous Galerkin Solutions to $\boldsymbol{u_t}$+$\boldsymbol{u_x}$=0

  Philip Roe

  2018-04-09

  44225 3173 Pages:905-912

• Local Discrete Velocity Grids for Multi-Species Rarefied Flow Simulations

  Stéphane Brull, Corentin Prigent

  2020-08-27

  49118 3182 Pages:1274-1304

• An Improved Second-Order Finite-Volume Algorithm for Detached-Eddy Simulation Based on Hybrid Grids

  Yang Zhang, Laiping Zhang, Xin He & Xiaogang Deng

  2018-04-04

  40092 3162 Pages:459-485