ADAPTIVE COMPUTATIONAL METHOD FOR FLUID-STRUCTURE INTERACTION IN INTERNAL FLOWS

SUPER ACCURATE ADAPTIVE COMPUTATIONAL SCHEMES FOR THE ANALYSIS OF FLUID STRUCTURE INTERACTION AND COMPLEX THREE-DIMENSIONAL INTERNAL FLOWS ARE TO BE DEVELOPED. NEW PETROV-GALERKIN FINITE ELEMENT METHODS FOR SOLVING THE NAVIER-STOKES EQUATIONS. COUPLED WITH THE EQUATIONS OF MOTION OF ELASTIC DUCTS AND MANIFOLDS, ARE TO BE DEVELOPED AND USED TO SIMULATE FLOWS IN AEROSPACE PROPULSION SYSTEMS (SUCH AS THE SSME). AN ARBITRARY LAGRANGIAN-EULERIAN FORMULATION OF THE EQUATIONS OF FLUID AND SOLID MOTION AND INTERACTION IS TO BE DERIVED USING OPTIMAL CHARACTERISTIC PETROV-GALERKIN SCHEMES AND ADAPTIVE MESH STRATEGIES. A POSTERIORI ERROR ESTIMATES ARE TO BE DERIVED AND USED AS ABASIS FOR H-OR P-ADAPTIVE REFINEMENT. TEST CODES ARE TO BE DEVELOPED AND USED TO TEST COMPUTATIONAL STRATEGIES ON REPRESENTATIVES TEST CASES. THE ASSOCIATED ALGORITHMS ARE TO BE VECTORIZED AND ARE TO EXPLOIT THE LATEST DEVELOPMENTS IN COMPUTER ARCHITECTURE WITH REGARD TO VECTOR-AND PARALLEL-PROCESSING STRATEGIES.