High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes
DOI10.4208/aamm.OA-2017-0243zbMath1488.65233OpenAlexW2999286034MaRDI QIDQ5156954
Guangxue Wang, Yaobing Min, Huayong Liu, Mei-Liang Mao, Huajun Zhu, Xiao-gang Deng
Publication date: 12 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/aamm.oa-2017-0243
finite volume schemesfinite difference schemescomplex geometrieshigh-ordersymmetric conservative metric method
Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
- Unnamed Item
- Geometric interpretations and spatial symmetry property of metrics in the conservative form for high-order finite-difference schemes on moving and deforming grids
- Freestream and vortex preservation properties of high-order WENO and WCNS on curvilinear grids
- On the geometric conservation law for high-order discontinuous Galerkin discretizations on dynamically deforming meshes
- Geometric conservation law and applications to high-order finite difference schemes with stationary grids
- On the freestream preservation of high-order conservative flux-reconstruction schemes
- Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations
- Design and analysis of ALE schemes with provable second-order time-accuracy for inviscid and viscous flow simulations.
- Large eddy simulation on curvilinear meshes using seventh-order dissipative compact scheme
- A new technique for freestream preservation of finite-difference WENO on curvilinear grid
- Discrete form of the GCL for moving meshes and its implementation in CFD schemes
- On the significance of the geometric conservation law for flow computations on moving meshes
- On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
- A numerical strategy for freestream preservation of the high order weighted essentially non-oscillatory schemes on stationary curvilinear grids
- Corrigendum to: ``On high order finite-difference metric discretizations satisfying GCL on moving and deforming grids
- Further studies on geometric conservation law and applications to high-order finite difference schemes with stationary grids
- Construction of the discrete geometric conservation law for high-order time-accurate simulations on dynamic meshes
- Geometric Conservation Law and Its Application to Flow Computations on Moving Grids
- Comparison of two formulations for high-order accurate essentially nonoscillatory schemes
- High‐order CFD methods: current status and perspective
- High-Order Hybrid WCNS-CPR Schemes on Hybrid Meshes with Curved Edges for Conservation Laws I: Spatial Accuracy and Geometric Conservation Laws
- An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws
- Effect of Geometric Conservation Law on Improving Spatial Accuracy for Finite Difference Schemes on Two-Dimensional Nonsmooth Grids
- Developing high-order weighted compact nonlinear schemes
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