COUPLING GRID ADAPTION TO AN IMPLICIT NAVIER-STOKES SOLUTIONPROCEDURE

A GRID ADAPTION PROCEDURE IS PROPOSED FOR A RECENTLY DEVELOPED CLASS OF NAVIER-STOKES SOLVERS WHICH USE RELAXATION RATHER THAN APPROXIMATE FACTORIZATION TO SOLVE THE LINEAR SYSTEM OF EQUATIONS. THE OBJECTIVE OF THE PROPOSED WORK IS THE IMPLICIT COUPLING OF AN EXISTING TWO-DIMENSIONAL NAVIER-STOKES CODE AND AN EXISTING TWO-DIMENSIONAL GRID ADAPTION CODE. THE GRID ADAPTION USES A SPRING/DAMPER ANALOGY AND A NOVEL NON-LINEAR SPRING TO AVOID GRID DEPLETION PROBLEMS. DURING THE PHASE I R&D EFFORT THE GRID ADAPTION PROCEDURE WILL BE REFINED TO CONTROL GRID ORTHOGONALITY AND IMPROVE CONVERGENCE, AND METHODS OF IMPLICITLY COUPLING THE GRID ADAPTION TO THE NAVIER-STOKES SOLVER WILL BE INVESTIGATED. THE COMBINED ADAPTIVE GRID/NAVIER-STOKES SOLUTION PROCEDURE WILL THEN BE TESTED ON REPRESENTATIVE SUPERSONIC AND TRANSONIC FLOW PROBLEMS.