Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Journal of Computational Physics
Kinetic flux-vector splitting for the Navier-Stokes equations
Journal of Computational Physics
Journal of Computational Physics
The Runge-Kutta discontinuous Galerkin method for conservation laws V multidimensional systems
Journal of Computational Physics
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
SIAM Journal on Numerical Analysis
Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems
Journal of Scientific Computing
Journal of Computational Physics
On the construction of kinetic schemes
Journal of Computational Physics
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Discontinuous Galerkin BGK Method for Viscous Flow Equations: One-Dimensional Systems
SIAM Journal on Scientific Computing
A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow
Journal of Computational Physics
Simple derivation of high-resolution schemes for compressible flows by kinetic approach
Journal of Computational Physics
A DGBGK scheme based on WENO limiters for viscous and inviscid flows
Journal of Computational Physics
A numerical study of temporal shallow mixing layers using BGK-based schemes
Computers & Mathematics with Applications
A high-order gas-kinetic Navier-Stokes flow solver
Journal of Computational Physics
Journal of Computational Physics
Numerical properties of high order discrete velocity solutions to the BGK kinetic equation
Applied Numerical Mathematics
Computers & Mathematics with Applications
Hi-index | 31.46 |
This paper presents a Runge-Kutta discontinuous Galerkin (RKDG) method for viscous flow computation. The construction of the RKDG method is based on a gas-kinetic formulation, which not only couples the convective and dissipative terms together, but also includes both discontinuous and continuous representation in the flux evaluation at a cell interface through a simple hybrid gas distribution function. Due to the intrinsic connection between the gas-kinetic BGK model and the Navier-Stokes equations, the Navier-Stokes flux is automatically obtained by the present method. Numerical examples for both one dimensional (1D) and two dimensional (2D) compressible viscous flows are presented to demonstrate the accuracy and shock capturing capability of the current RKDG method.