Studies in multigrid acceleration of some equations of interest in fluid dynamics |
| |
Authors: | J P Singh |
| |
Affiliation: | 1. Flosolver Unit, CTFD Division, National Aerospace Laboratories, 560 017, Bangalore, India
|
| |
Abstract: | The paper describes the multigrid acceleration technique to compute numerical solutions of three equations of common fluid
mechanical interest; Laplace equation, transonic full potential equation and Reynolds averaged Navier-Stokes equations. Starting
with the simple and illustrative multigrid studies on the Laplace equation, the paper discusses its application to the cases
of full potential equation and the Navier-Stokes equations. The paper also discusses some elements of multigrid strategies
like V- and W-cycles, their relative efficiencies, the effect of number of grid levels on the convergence rate and the large
CPU time saving obtained from the multigrid acceleration. A few computed cases of transonic flows past airfoils using the
full potential equations and the Navier-Stokes equations are presented. A comparison of these results with the experimental
data shows good agreement of pressure distribution and skin friction. With the greatly accelerated multigrid convergence,
the full potential code typically takes about 10 seconds and the Navier-Stokes code for turbulent flows takes about 5 to 15
min of CPU time on the Convex 3820 computer on a mesh which resolves the flow quantities to good levels of accuracy. This
low CPU time demand, made possible due to multigrid acceleration, on one hand, and the robustness and accuracy on the other,
offers these codes as designer’s tools for evaluating the characteristics of the airfoils.
Various parts of this paper have been presented at the following conferences; (i) 5th Asian Cong. on Fluid Mech., Taejon,
Korea, 1992, (ii) Int. Conf. on Methods of Aerophysical Research, Novosibirsk, 1992, (iii) Fluid Dyn. Symp. in honour of Prof.
R Narasimha on his 60th birthday, 1993. |
| |
Keywords: | Multigrid full-potential solution Navier-Stokes solution Laplace equation |
本文献已被 SpringerLink 等数据库收录! |
|