Published September 2007 | Version v1
Journal article

A Gas-kinetic Discontinuous Galerkin Method for Viscous Flow Equations

  • 1. Hong Kong University of Science and Technology, Kowloon (Hong Kong)

Description

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 the cell interface through a simple hybrid gas distribution function. Due to the intrinsic connection between the gaskinetic BGK model and the Navier-Stokes equations, the Navier-Stokes flux is automatically obtained by the present method. Numerical examples for both one dimensional (10) and two dimensional(20) compressible viscous flows are presented to demonstrate the accuracy and shock capturing capability of the current RKDG method

Additional details

Publishing Information

Journal Title
Journal of Mechanical Science and Technology
Journal Volume
21
Journal Issue
9
Series
26 refs, 8 figs, 3 tabs
Journal Page Range
p. 1344-1351
ISSN
1738-494X

INIS

Country of Publication
Korea, Republic of
Country of Input or Organization
Korea, Republic of
INIS RN
44079288
Subject category
S42: ENGINEERING;
Descriptors DEI
ACCURACY; DISTRIBUTION FUNCTIONS; EQUATIONS; KINETICS; NAVIER-STOKES EQUATIONS; VISCOUS FLOW
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FLUID FLOW; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS