CFD Analysis using Multigrid Algorithm

Abstract

The multigrid algorithm is an extremely efficient method of approximating the solution to a given problem. The functions involved in the calculations are all discrete, or discontinuous, and are represented by an array of values taken from equally-spaced points along their range a "grid". The algorithm's efficiency lies in the fact that once an approximate solution to the problem is found its accuracy can be improved using calculations on increasingly sparse grids which require less processing power.

In this project the theory behind the multigrid algorithm was studied and a computer program was written which demonstrates the use of this algorithm in solving the problem of natural convection. Stream function-Vorticity approach and the Bossinesq approximation were used
in the programs. Also, the same problem was solved using the Multigrid algorithm using Fluent software. The results obtained were matched with the analytical results.