Summary: AN ACCURATE ENO DRIVEN MULTIGRID
METHOD APPLIED TO 3D TURBULENT
TRANSONIC FLOWS \Lambday .
The Academic College of TelAvivYaffo, Computer Science Department
4 Antokolsky st., Tel Aviv 64044, Israel
School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978
Faculty of Computer Science, Technion, Haifa 32000, Israel
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.