EFFICIENT COMPUTATION OF VISCOUS INTERNAL FLOWS

NUMERICAL COMPUTATION OF THE DETAILED MULTIDIMENSIONAL FLUIDFLOW PROCESSES IS OF IMPORTANCE TO THE DESIGN OF NOVEL PROPULSION DEVICES AND TO UNDERSTAND THE PERFORMANCE OF EXISTING DESIGNS. THE SOLUTION OF THE TIME-AVERAGED NAVIER-STOKES EQUATIONS GOVERNING ELLIPTIC FLUID FLOWS (WITH RECIRCULATIONS) PRESENTS A CHALLENGING TASK AND CURRENT ALGORITHMS IN USE REQUIRE SUBSTANTIAL AMOUNTS OF COMPUTATIONAL TIME. A PROPOSAL IS MADE TO DEVELOP A NEW COMPUTATIONAL TOOL THAT IS BASED ON A NUMBER OF NOVEL COMPUTATIONAL TECHNIQUES THAT HITHERTO HAVE BEEN APPLIED TO SOLVE VERY SIMPLE MODEL PROBLEMS. THE DEVELOPMENT OF SUCH ATOOL HOLDS THE PROMISE TO OBTAIN EFFICIENT AND ACCURATE NUMERICAL SOLUTIONS THAT CAN BE FREE OF FINITE-DIFFERENCE ERRORS, YET BE AFFORDABLE FROM THE VIEW POINT OF COMPUTATIONAL COSTS. THE TECHNIQUES PROPOSED ARE: MULTIGRIDCYCLING, COUPLED SOLVERS, LOCAL MESH REFINEMENT, AND VECTORIZATION. UNDER PHASE I OF THE STUDY, THE APPLICABILITY AND BENEFITS OF THESE TECHNIQUES WILL BE DEMONSTRATED. THE DEVELOPMENT AND VALIDATION OF THE COMPUTER PROGRAM WILL BE CONSIDERED IN PHASE II.