SOLUTION ADAPTIVE MESH

SOLUTION OF FLUID DYNAMICS PROBLEMS BY NUMERICAL FINITE DIFFERENCE TECHNIQUES CURRENTLY PRODUCES COST EFFECTIVE DESIGN AND ANALYSIS FOR THE AEROSPACE COMMUNITY FOR A VARIETY OF PROBLEMS. FOR ANY GIVEN PROBLEM, THE OBJECTIVE OF THE FINITE DIFFERENCE NUMERICAL SIMULATION IS AN ACCURATEREPRESENTATION OF THE ACTUAL FLOW FIELD. ALTHOUGH CHOICE OFTHE NUMERICAL TECHNIQUE AS WELL AS CHOICE OF DIFFERENCE OPERATORS PLAY A MAJOR ROLE IN SOLUTION ACCURACY, THE GRID UPON WHICH THE GOVERNING EQUATIONS ARE SOLVED ALSO PLAYS A MAJOR ROLE. AS FLOW PROBLEMS OF INTEREST BECOME INCREASINGLY COMPLEX, INCREASING DEMANDS ARE MADE UPON THE COMPUTATIONAL GRID. THE INNOVATION OF THIS PROPOSED STUDY IS TO UTILIZE INFORMATION FROM AN ANALYSIS OF THE ERROR TERMS IN FLUID DYNAMIC EQUATIONS TO GENERATE SOLUTION ADAPTIVE MESHES THAT PRODUCE THE MOST ERROR FREE SOLUTION POSSIBLE WITH THE GIVEN NUMBER OF MESH POINTS. SINCE ERROR TERMS DIFFER FOR DIFFERENT FORMS OF THE EQUATIONS, SEVERAL COMMON FLUID DYNAMIC EQUATIONS WOULD BE INVESTIGATED. SOLUTIONS OF A DESIRED ACCURACY COULD BE ACHIEVED WITH FEWER GRID POINTS THAN IS CURRENTLY POSSIBLE. SOLUTION ADAPTIVE MESH WILL PERMIT COMPUTATIONAL FLUID DYNAMICS TO ADDRESS EVEN MORE COMPLEX AND REALISTIC PROBLEMS THAN CAN BEADDRESSED ON A PRACTICAL BASIS WITH CURRENT TECHNIQUES.