Search Results

• Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

  Jun Luo, Lijun Xuan, Kun Xu

  2013-09-05

  40710 4645 Pages:599-620

• Performance Enhancement for High-Order Gas-Kinetic Scheme Based on WENO-Adaptive-Order Reconstruction

  Xing Ji, Kun Xu

  2020-06-05

  50097 3413 Pages:539-590

• On False Accuracy Verification of UMUSCL Scheme

  Hiroaki Nishikawa

  2021-08-10

  48628 3229 Pages:1037-1060

• High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

  Clarissa Astuto

  2025-05-29

  9025 504 Pages:1327-1357

• A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations

  Liang Pan, Kun Xu

  2020-07-31

  38612 3076 Pages:985-1011

• Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

  Minghua Chen, Weihua Deng

  2014-08-03

  42384 4327 Pages:516-540

• High-Order Vertex-Centered U-MUSCL Schemes for Turbulent Flows

  H. Q. Yang, Robert E. Harris

  2018-09-17

  45535 3473 Pages:356-382

• A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow

  Xiaolu Gu, Juan Cheng, Chi-Wang Shu

  2023-12-11

  33189 2779 Pages:1177-1214

• A High-Order Accurate Gas-Kinetic Scheme for One- and Two-Dimensional Flow Simulation

  Na Liu, Huazhong Tang

  2020-07-31

  41542 3992 Pages:911-943

• A Third Order Conservative Lagrangian Type Scheme on Curvilinear Meshes for the Compressible Euler Equations

  Juan Cheng, Chi-Wang Shu

  2008-11-05

  39323 4602 Pages:1008-1024

• 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

  28124 2049 Pages:1-29

• A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

  Raphael Loubere, Michael Dumbser, Steven Diot

  2014-12-08

  39691 3901 Pages:718-763

• High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes

  Jun Zhu, Chi-Wang Shu, Jianxian Qiu

  2021-02-25

  45859 3336 Pages:1030-1058

• High-Order Unified Gas-Kinetic Scheme

  Gyuha Lim, Yajun Zhu, Kun Xu

  2022-10-28

  45938 3296 Pages:951-979

• Construction of the High Order Accurate Generalized Finite Difference Schemes for Inviscid Compressible Flows

  Xue-Li Li, Yu-Xin Ren, Wanai Li

  2018-10-11

  46332 3487 Pages:481-507

• High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations on Unstructured Hexahedral Grids

  Yuzhi Sun, Z. J. Wang, Yen Liu

  2018-03-24

  39878 3926 Pages:310-333

• A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

  Ruihan Guo, Yan Xu

  2018-09-17

  67899 5549 Pages:123-151

• A Class of Hybrid DG/FV Methods for Conservation Laws III: Two-Dimensional Euler Equations

  Laiping Zhang, Wei Liu, Lixin He, Xiaogang Deng

  2012-12-01

  40835 4645 Pages:284-314

• 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

• A 2D Fourth-Order CESE Scheme for Solving the Ideal MHD Equations

  Yufen Zhou, Xueshang Feng, Fang Shen, Liping Yang, Man Zhang

  2025-08-08

  4623 509 Pages:348-374

• Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

  Shu-Cun Li, Huazhong Tang

  2021-08-10

  47791 3143 Pages:1150-1184

• Variable High Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows

  Bjorn Sjogreen, H. C. Yee

  2018-04-11

  41377 3444 Pages:730-744

• Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids

  Jialin Lou, Xiaodong Liu, Hong Luo, Hiroaki Nishikawa

  2019-01-10

  51043 4087 Pages:1302-1327

• High-Order Hybrid WCNS-CPR Schemes on Hybrid Meshes with Curved Edges for Conservation Laws I: Spatial Accuracy and Geometric Conservation Laws

  Huajun Zhu, Zhenguo Yan, Huayong Liu, Meiliang Mao, Xiaogang Deng

  2018-08-21

  48087 3560 Pages:1355-1392

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  38520 4034 Pages:449-478

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  208 85 Pages:449-478

• Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy

  Philippe Angot, Rima Cheaytou

  2019-07-02

  45600 4641 Pages:1008-1038 Open-access