THE USE OF VARIATIONAL PRINCIPLES IN IMPROVING CFD METHODOLOGY

THE DEVELOPMENT OF A COMPUTATIONAL FLUID DYNAMICS (CFD) MODEL BASED ON VARIATIONAL PRINCIPLES AND USED TO SIMULATE AERODYNAMIC FLOWS IS PROPOSED. THE CFD MODEL WILL BE DESIGNED TO DESCRIBE TURBULENT, MULTI-DIMENSIONAL, UNSTEADY FLOWS, BUT THE VARIATIONAL FORMULATION WILL BE CAST TO AUTOMATICALLY MODIFY THE SOLUTION PROCEDURE TO EFFICIENTLY TREAT SUBCLASSES OF THESE FLOWS, SUCH AS LAMINAR, INVISCID, STEADY, ADIABATIC, ETC. A NEW CFD MODEL WILL BE DEVELOPED AS A PRACTICAL DESIGN TOOL, AND NEW METHODS OF EVALUATING THE UTILITY OF EXISTING COMPUTER CODES WILL BE ESTABLISHED.