FOR THE PAST SEVERAL DECADES A VAST AMOUNT OF RESEARCH HAS GONE INTO THE DEVELOPMENT AND ADVANCEMENT OF COM- PUTATIONAL METHODS SPECI_CALLY DESIGNED FOR SINGLE TRADITIONAL DISCIPLINES OF PHYSICS OR ITS ASSOCIATED COMPUTATIONAL MATHEMATICS. THIS CONTINUOUS INVESTMENT HAS PAID O_ OVER TIME SUCH THAT INDIVIDUAL DISCIPLINE COMPUTATIONAL METHODS FOR SOLIDS AND UIDS HAVE REACHED A HIGH LEVEL OF MATURITY. COMPUTATIONAL FLUID DYNAMICS (CFD) AND COMPUTATIONAL STRUCTURAL DYNAMICS (CSD) SOLVERS HAVE BECOME RELIABLE ROUTINE ANALYSIS TOOLS FOR AEROSPACE AND AERONAUTICS APPLICATIONS. WITH THE INCREASE IN COMPUTATIONAL RESOURCES AVAILABLE WE ARE NOW AT A POINT WHERE THE SIMULATION OF COMPLEX MULTI-PHYSICS PROBLEM IN PARTICULAR UID-STRUCTURE INTERACTION (FSI) BECOMES FEASIBLE. NEV- ERTHELESS CURRENT METHODOLOGIES TO CONDUCT FSI SIMULATION LACK MATURITY TO ROBUSTLY AND ACCURATELY MODEL ADVANCED FSI PROBLEMS SUCH AS ENCOUNTERED FOR THE SUPERSONIC INATABLE AERODYNAMIC DECELERATOR OR PARACHUTES DEPLOYED IN EXTREME SUPERSONIC OW CONDITIONS. ADVANCING THE FSI SIMULATION CAPABILITIES WILL HELP TO IMPROVE OUR UNDERSTANDING OF RELEVANT MULTI-PHYSICS PHENOMENA WHICH IS IMPERATIVE TO DRIVE INNOVATION AND NOVEL DISCOVERIES. IN THE PROPOSED RESEARCH WE ARE EVALUATING AND TESTING A HIGH-_DELITY COMPUTATIONAL FSI METHOD WHICH CAN BE USED TO SIMULATE FSI PROBLEMS INVOLVING HIGHLY-EXIBLE NONLINEAR MATERIALS AND EXTREME (SUPERSONIC) OW CONDITIONS. THE DISTIN- GUISHING FEATURES OF THE FSI APPROACH ARE THAT IT (I) REQUIRES MINIMAL USER-INTERACTION (II) EMPLOYS A HIGHER-ORDER ACCURATE DISCRETIZATION APPROACH FOR THE CFD AND CSD SOLVERS (III) EMPLOYS A ROBUST AND (PREFERABLY PROVABLE) STABLE DISCRETIZATION IN PARTICULAR AT DOMAIN BOUNDARIES AND FSI INTERFACES AND (IV) EMPLOYS A HIGHLY-SCALABLE MULTI-RESOLUTION ALGORITHM.