Optimization of convergence acceleration in multigrid numerical solutions of conductive–convective problems

摘要

The present work investigates the existence of optimal algorithm parameters for multigrid numerical solutions of a two-dimensional steady-state conductive–convective problem. The velocity field inside the rectangular domain and the temperature distribution at its four boundaries are known and kept constant. The numerical method includes finite volume discretization and Weighted Upstream Differencing Scheme (WUDS) interpolation on structured, orthogonal and regular meshes. Multigrid is implemented according to the correction storage (CS) formulation. Minimum computational effort is sought as a function of control-volume Peclet number, different numbers of grids, number of smoothing sweeps in each level and distinct combinations of iterative solution algorithm.