Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme
DOI10.4208/cicp.OA-2021-0131zbMath1483.65146OpenAlexW4210398167MaRDI QIDQ5065187
Jianfeng Zou, Yao Zheng, Jianjing Zheng, Yifan Xia, Gaofeng Wang, Ji-Fa Zhang
Publication date: 18 March 2022
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2021-0131
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
- Unnamed Item
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- Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems
- Adaptive remeshing for transient problems
- A matrix stability analysis of the carbuncle phenomenon
- An anisotropic adaptive finite element algorithm for transonic viscous flows around a wing
- Non-oscillatory central differencing for hyperbolic conservation laws
- Multi-dimensional dissipation for cure of pathological behaviors of upwind scheme
- Upwind schemes and boundary conditions with applications to Euler equations in general geometries
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Adaptive remeshing for three-dimensional compressible flow computations
- Multidimensional dissipation for upwind schemes: Stability and applications to gas dynamics
- Projection dynamics in Godunov-type schemes
- Dissipation additions to flux-difference splitting
- Artificial viscosity in Godunov-type schemes to cure the carbuncle phenomenon
- Cures for the shock instability: Development of a shock-stable Roe scheme.
- The method of space-time conservation element and solution element -- a new approach for solving the Navier-Stokes and Euler equations
- A shock-stable modification of the HLLC Riemann solver with reduced numerical dissipation
- A low dissipation method to cure the grid-aligned shock instability
- Heuristical and numerical considerations for the carbuncle phenomenon
- Anisotropic mesh adaptation for CFD computations
- Dissipative mechanism in Godunov-type schemes
- Unstructured Mesh Generation and Adaptation
- A contribution to the great Riemann solver debate
- Automatic directional refinement in adaptive analysis of compressible flows
- Shock wave instability and the carbuncle phenomenon: same intrinsic origin?
- Incorporation of NURBS Boundary Representation with an Unstructured Finite Volume Approximation
- Hessian-based anisotropic mesh adaptation in domains with discrete boundaries
- Numerical instabilities in upwind methods: Analysis and cures for the ``carbuncle phenomenon
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