A linear solver based on algebraic multigrid and defect correction for the solution of adjoint RANS equations

Abstract

A new solution approach for discrete adjoint Reynolds-averaged Navier–Stokes equations is suggested. The approach is based on a combination of algebraic multigrid and defect correction. The efficient interplay of these two methods results in a fast and robust solution technique. Algebraic multigrid deals very well with unstructured grids, and defect correction completes it in such a way that a required second-order accuracy of the solution is achieved. The performance of the suggested solution approach is demonstrated on a number of representative benchmarks.