Preconditioned HLLC Scheme For
Incompressible Viscous Flow Simulation
Author(s)
Z. Qian & C.-H. Lee
Abstract
A new HLLC approximate Riemann solver with preconditioning technique based
on the pseudo-compressibility formulation for numerical simulation of the
incompressible viscous flows has been proposed, which follows the HLLC
Riemann solver (Harten, Lax and van Leer solver with contact resolution
modified by Toro) for the compressible flow system. In the authors’ previous
work, the preconditioned Roe’s Riemann solver was applied to the finite
difference discretization of the inviscid flux. Although the Roe’s Riemann solver
is found to be an accurate and robust scheme in various numerical computations,
the HLLC Riemann solver is more suitable for the pseudo-compressible Navier-
Stokes equations, in which the inviscid flux vector is a non-homogeneous
function of degree one of the flow field vector; however the Roe’s solver is
restricted to the homogeneous problems. Numerical investigations have been
performed in order to demonstrate the efficiency and accuracy of the present
procedure. The present results are found to be good agreement with the exact
solutions, existing numerical results or experimental data.
Keywords: precondition, HLLC scheme, pseudo-compressibility, incompressible
viscous flows, LU-SGS.
1 Introduction
The difficulty of numerically solving the incompressible Navier-Stokes (N-S)
equations is the decoupling of the velocity and pressure fields while the zero
Keywords
precondition, HLLC scheme, pseudo-compressibility, incompressibleviscous flows, LU-SGS.
Related Book
Other papers in this volume
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