Adaptive multigrid for the steady Euler equations
Abstract
A method for solving the steady Euler equations is presented which is based on an upwind finitevolume discretization on a locally refined grid and multigrid convergence acceleration. A locally refined grid consists of grids in a locally nested sequence. Nonlinear multigrid iteration is used to solve a set of equations derived from the firstorder consistent finitevolume discretization on the composite grid. A computation process starts at some basic grid. After a number of nonlinear multigrid iterations a new level of refinement is generated. The initial solution in all newly generated cells is found from the interpolation on the next coarser grid.
 Publication:

Communications in Applied Numerical Methods
 Pub Date:
 October 1992
 Bibcode:
 1992CANM....8..749V
 Keywords:

 Computational Grids;
 Finite Volume Method;
 Multigrid Methods;
 Transonic Flow;
 Lift Drag Ratio;
 Mach Number;
 Fluid Mechanics and Heat Transfer