Development of Finite Volume Algorithm on Parallel Computer for Prediction of Three-Dimensional Turbulent Compressible Flows

This project aims at developing a general purpose, user-friendly Computer code for numerical prediction of three dimensional, turbulent, compressible flows solving the time-averaged, Navier Stokes equations in body-fitted non-orthogonal coordinate system . A finite volume method [5] has already been developed by the present investigator and others for incompressible flows employing the concept of the Semi-IMplicit Pressure Linked Equations (SIMPLE) of Patankar & Spalding [6], revised for cell-centred variable arrangement and using Cartesian Velocity Components as dependent variables . The same method is proposed to be modified to account for the compressibility effects and hence to achieve a unified aproach for incompressible and compressible flows . Turbulence will be simulated through the Eddy-Viscosity based two equations (K- E) models on which the present investigator has already gained considerable experience [7 - 101 for both 2D & 3D incompressible flows . In order to meet the large Computer storage and CPU demand for real life 3D problems a parallelised version of the code will be generated, compitable to the in-house MK-II FLOSOLVER at NAL for which\ud however the Computer resources and specially the hardware need to be augmented . How to handle irregular flow geometries, modelling turbulence for 3D separated flows and finally the effective utilisation of parallel computers for large CPU and storage-consuming computer codes form the three-major problems to be studied under this research project