Multigrid Technique Applied for the Full Potential Equation Over An Airfoil

The Multigrid technique is 'employed to,get the fast convergence of solutions for the algorithms particularly, to flow applications. In ihis paper the technique is used for the solution of 'full potential equation, over a symmetrical airfoil. The equation is of non-conservative form in - a cartesion -grid sy8tem. This paper describes the solution obtained upto three levels and for different angle of inci- dences. CPU times obtained fo ' r all the cases have been'tabulated, which shows reasonable reduction of CPU times for more number of levels as compared to non-multigrid single grid level solution. The reduction' of equivalent number 'If iterations is also presented here. Vie olution 'did not bonverge for higher anlge of incidences and for more number of levels.' The coinputed pressure distriutions for all the converged cases is shown in this paper. Solutions obtained13; or sub critical Mach Number, critical Mach Number,-and super critical Mach umber is reported here. Mesh of higher grid ?ize is - considered in this paper. he effect of the grid size on the Multigrid Technique solutions bave been tried to understand, The pressure dis1ribulions obtained aublished results and found to agree reasonably