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

  40614 4609 Pages:599-620

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

  Xing Ji, Kun Xu

  2020-06-05

  50006 3378 Pages:539-590

• On False Accuracy Verification of UMUSCL Scheme

  Hiroaki Nishikawa

  2021-08-10

  48528 3188 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

  8899 475 Pages:1327-1357

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

  Liang Pan & Kun Xu

  2020-07-31

  38526 3047 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

  42270 4269 Pages:516-540

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

  H. Q. Yang & Robert E. Harris

  2018-09-17

  45432 3443 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

  33076 2741 Pages:1177-1214

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

  Na Liu & Huazhong Tang

  2020-07-31

  41442 3944 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

  39214 4562 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

  27986 1964 Pages:1-29

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

  Raphaël Loubère, Michael Dumbser & Steven Diot

  2014-12-08

  39581 3854 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

  45738 3295 Pages:1030-1058

• High-Order Unified Gas-Kinetic Scheme

  Gyuha Lim, Yajun Zhu, Kun Xu

  2022-10-28

  45801 3254 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

  46239 3456 Pages:481-507

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

  Y. Sun, Z. J. Wang & Y. Liu

  2018-03-24

  39781 3882 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

  67756 5453 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

  40753 4558 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

  46827 5208 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

  4503 458 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

  47691 3101 Pages:1150-1184

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

  Björn Sjögreen & H. C. Yee

  2018-04-11

  41279 3400 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

  50928 4058 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

  47966 3524 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

  38426 3996 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

  113 55 Pages:449-478

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

  Philippe Angot, Rima Cheaytou

  2019-07-02

  45486 4554 Pages:1008-1038 Open-access