DEVELOP AN EFFICIENT AND ROBUST ADJOINT-BASED METHODOLOGY FOR TIME-DEPENDENT OPTIMAL CONTROL (AMTOC) THAT I…

Public award description

DEVELOP AN EFFICIENT AND ROBUST ADJOINT-BASED METHODOLOGY FOR TIME-DEPENDENT OPTIMAL CONTROL (AMTOC) THAT IS APPLICABLE TO A BROAD SPECTRUM OF OPTIMIZATION PROBLEMS ARISING IN SUPERSONIC AND OTHER AERODYNAMIC SYSTEMS, SUCH AS SUBSONIC AIRCRAFT, ROTORCRAFT, HYPERSONIC VEHICLES, COMBUSTORS, NOZZLES, AND ENGINE INLETS. IMPLEMENT AMTOC WITHIN A SUITE OF TESTBED SOFTWARE DESIGNED TO MIMIC THE FUNDAMENTAL DISCRETIZATION AND SOLUTION METHODOLOGIES OF NASA'S FUN3D SOFTWARE AND ADJUST IT TO ACCOUNT FOR SPECIFIC REQUIREMENTS AND CONSTRAINTS OF SUPERSONIC DRAG REDUCTION AND FLOW CONTROL. IMPLEMENT THE AMTOC FORMULATION DIRECTLY INTO FUN3D. BASE PERIOD: TASK 1: DEVELOP, IMPLEMENT, AND VALIDATE AMTOC TASK 2: DEVELOP ANALYSIS TOOLS FOR UNSTRUCTURED FINITE-VOLUME DISCRETIZATIONS AND APPLY THEM TO ANALYZE CURRENT AND NEW HIGHLY ACCURATE FINITE-VOLUME DISCRETIZATIONS PROPOSED FOR IMPLEMENTATION IN FUN3D TASK 3: DEVELOP AND IMPLEMENT GENERAL QUANTITATIVE ANALYSIS TOOLS FOR MULTIGRID SOLUTIONS ON UNSTRUCTURED GRIDS. DEVELOP AND IMPLEMENT EFFICIENT MULTIGRID SOLVERS FOR THE DISCRETIZED 3-D NAVIER-STOKES EQUATIONS. OPTION #1 - ADDITIONAL WORK - TRANSFER AMTOC METHODOLOGIES FROM TESTBED TO NASA'S FUN3D SOFTWARE. OPTION #2 - TASK 1: DEVELOP, IMPLEMENT, AND VALIDATE AMTOC. TASK 2: DEVELOP AND IMPLEMENT A REDUCED-ORDER MODEL BASED ON THE PROPER ORTHOGONAL DECOMPOSITION AND USE IT FOR SOLVING THE ADJOINT NAVIER-STOKES EQUATIONS. TASK 3: DEVELOP AND IMPLEMENT GENERAL QUANTITATIVE ANALYSIS TOOLS FOR MULTIGRID SOLUTIONS ON UNSTRUCTURED GRIDS. DEVELOP AND IMPLEMENT EFFICIENT MULTIGRID SOLVERS FOR THE DISCRETIZED 3-D NAVIER-STOKES ADJOINT EQUATIONS WITHIN FUN3D.