Three-dimensional discontinuous Galerkin based high-order gas-kinetic scheme and GPU implementation

DOI10.1016/j.compfluid.2022.105510OpenAlexW4221165598MaRDI QIDQ2158163

Liang Pan, Yuhang Wang

Publication date: 22 July 2022

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.13821

zbMATH Keywords

graphics processing unit (GPU)discontinuous Galerkin (DG) methodhigh-order gas-kinetic scheme (HGKS)

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (2)

Multiple-GPU accelerated high-order gas-kinetic scheme for direct numerical simulation of compressible turbulence ⋮ Three-dimensional third-order gas-kinetic scheme on hybrid unstructured meshes for Euler and Navier-Stokes equations

Uses Software

• CUDA

Cites Work

• Unnamed Item
• Collaborating CPU and GPU for large-scale high-order CFD simulations with complex grids on the TianHe-1A supercomputer
• An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier--Stokes equations
• An implicit high-order discontinuous Galerkin method for steady and unsteady incompressible flows
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• 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
• Weighted essentially non-oscillatory schemes
• Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
• A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
• Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
• High-order methods for computational fluid dynamics: a brief review of compact differential formulations on unstructured grids
• A direct discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids
• An efficient and accurate two-stage fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations
• A Hermite WENO reconstruction for fourth order temporal accurate schemes based on the GRP solver for hyperbolic conservation laws
• A family of high-order gas-kinetic schemes and its comparison with Riemann solver based high-order methods
• Efficient implementation of weighted ENO schemes
• A compact fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations
• High-order gas-kinetic scheme with parallel computation for direct numerical simulation of turbulent flows
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• Spectral difference method for unstructured grids. I. Basic formulation
• Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations
• A Two-Stage Fourth Order Time-Accurate Discretization for Lax--Wendroff Type Flow Solvers I. Hyperbolic Conservation Laws
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Small-scale structure of the Taylor–Green vortex
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• Total variation diminishing Runge-Kutta schemes
• Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations
• Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
• A locally conservative LDG method for the incompressible Navier-Stokes equations
• Direct Modeling for Computational Fluid Dynamics
• The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method

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