AN ARBITRARY GRID CFD ALGORITHM FOR CONFIGURATION AERODYNAMICS

THIS PROPOSAL DESCRIBES A PROJECT TO DEVELOP AND EXAMINE A CFD NUMERICAL SOLUTION ALGORITHM FOR THE THREE-DIMENSIONAL EULER/NAVIER-STOKES EQUATIONS THAT DOES NOT RELY ON A WELL-STRUCTURED, BODY-FITTED COORDINATE SYSTEM FOR ROBUSTNESS. THE SPECIFIC APPLICATION IS FOR REALISTIC CONFIGURATION AERODYNAMICS ANALYSIS OF HIGH SPEED MIXED SUPERSONIC FLOWS AT LARGE REYNOLDS NUMBER. A THEORETICAL ANALYSIS FRAMEWORK IS PRESENTED THAT PERMITS ENFORCEMENT OF PROPER ZONES OF DEPENDENCE MEASURABLE ON AN ARBITRARY MESH. THE COMPUTATIONAL MESH ITSELF IS FORMED AS THE UNION OF TETRAHEDRA, PENTAHEDRA AND FACETTED HEXAHEDRA, THE COMBINATION OF WHICH IS GEOMETRICALLY COMPLETELY GENERAL ADMITTING ARBITRARY LOCAL REFINEMENT. THEORETICALLY, CFD ALGORITHM IS A WEAK-STATEMENT FORM OF A TAYLOR SERIES EXPANSION, WHICH ADMITS ARBITRARILY COMPLICATED TEST AND TRIAL FUNCTIONS. THE GOAL OF THE ANALYSIS PROPOSED CONDUCTED IS TO OPTIMIZE THIS ALGORITHM TO THE CONFIGURATIONAERODYNAMICS PROBLEM CLASS WITH EMBODIMENT IN A MULTIPROCESSING-MULTITASKING COMPUTER ENVIRONMENT.