Summary: AN ACCURATE ENO DRIVEN MULTIGRID
METHOD APPLIED TO 3­D TURBULENT
TRANSONIC FLOWS \Lambday .
B. Epstein
The Academic College of Tel­Aviv­Yaffo, Computer Science Department
4 Antokolsky st., Tel Aviv 64044, Israel
A. Averbuch
School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978
I. Yavneh
Faculty of Computer Science, Technion, Haifa 32000, Israel
Abstract
A multigrid method for computing steady solutions of the compressible Navier­
Stokes equations is described. The convection part of the equations is approximated
by a simple low order upwind­biased scheme employed for multigrid relaxation in com­
bination with a higher order Essentially Non­Oscillatory (ENO) scheme used to supply
a defect correction to the right­hand­side of the discrete equations on the locally finest
multigrid levels in a way ensuring the overall high accuracy of the solution. A damping
technique is employed to stabilize and accelerate the defect­correction process.
Key words: Navier­Stokes, ENO, Multigrid, Defect Correction, Turbulent flows.
1 Introduction

Source: Averbuch, Amir - School of Computer Science, Tel Aviv University

Collections: Computer Technologies and Information Sciences