A viscous-term subcell limiting approach for high-order FR/CPR method in solving compressible Navier-Stokes equations on curvilinear grids
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Publication:6589909
DOI10.1016/J.JCP.2024.113240MaRDI QIDQ6589909
Mei-Liang Mao, Zhen-Guo Yan, Hua-Jun Zhu, Hua-Yong Liu, Xiaogang Deng
Publication date: 20 August 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
Navier-Stokes equationshypersonic flowflux reconstruction/correction procedure via reconstruction (FR/CPR)compact nonlinear nonuniform weighted (CNNW) schemesviscous-term subcell limiting (VSL)
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Cites Work
- Towards shock-stable and accurate hypersonic heating computations: a new pressure flux for AUSM-family schemes
- Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes
- Geometric conservation law and applications to high-order finite difference schemes with stationary grids
- A new class of high-order energy stable flux reconstruction schemes
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Development of discrete gas kinetic scheme for simulation of 3D viscous incompressible and compressible flows
- A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes
- Hierarchical multi-dimensional limiting strategy for correction procedure via reconstruction
- A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
- Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks
- Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
- High resolution schemes for hyperbolic conservation laws
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Nonlinear iteration methods for high speed laminar compressible Navier-Stokes equations
- Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
- High-order methods for computational fluid dynamics: a brief review of compact differential formulations on unstructured grids
- Towards industrial large eddy simulation using the FR/CPR method
- Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes
- Efficient implementation of weighted ENO schemes
- A \(p\)-weighted limiter for the discontinuous Galerkin method on one-dimensional and two-dimensional triangular grids
- Self-similar structures based genuinely two-dimensional Riemann solvers in curvilinear coordinates
- A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations
- A characteristic-featured shock wave indicator on unstructured grids based on training an artificial neuron
- A priori subcell limiting based on compact nonuniform nonlinear weighted schemes of high-order CPR method for hyperbolic conservation laws
- FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws
- Nektar++: design and implementation of an implicit, spectral/\(hp\) element, compressible flow solver using a Jacobian-free Newton Krylov approach
- \textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction
- A high-order weighted compact high resolution scheme with boundary closures for compressible turbulent flows with shocks
- Shock capturing for discontinuous Galerkin methods with application to predicting heat transfer in hypersonic flows
- A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells
- Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/\(hp\) methods
- Further studies on geometric conservation law and applications to high-order finite difference schemes with stationary grids
- A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- Spectral difference method for unstructured grids. I. Basic formulation
- A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes
- Spectral difference method for unstructured grids. II. Extension to the Euler equations
- High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD
- High-Order and High Accurate CFD Methods and Their Applications for Complex Grid Problems
- High‐order CFD methods: current status and perspective
- A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes
- Osher Flux with Entropy Fix for Two-Dimensional Euler Equations
- High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes
- High-Order Hybrid WCNS-CPR Schemes on Hybrid Meshes with Curved Edges for Conservation Laws I: Spatial Accuracy and Geometric Conservation Laws
- A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework
- 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
- Hybrid DG/FV schemes for magnetohydrodynamics and relativistic hydrodynamics
- High order discontinuous Galerkin simulation of hypersonic shock-boundary layer interaction using subcell limiting approach
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