Acceleration of compressible NavierStokes calculations
Abstract
Operator splitting techniques applied to the numerical simulation of unsteady compressible viscous flows lead to the solution of generalized Stokes subproblems and of nonlinear steady systems. These problems involve quite a large number of variables requiring efficient solution algorithms. The solution of these linear subproblems by iterative techniques, involving a preconditioning step by a suitable boundary operator, is discussed. The solution of the nonlinear subproblems is achieved through an iterative method generalizing the socalled GMRES algorithm. The compatibility of the velocity and density finite element approximations is briefly discussed. Numerical results obtained form the simulation of complex flows originating from aerospace engineering are used to illustrate the possibilities of these methods.
 Publication:

Numerical Methods for Fluid Dynamics III
 Pub Date:
 1988
 Bibcode:
 1988nmfd.proc..255B
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 NavierStokes Equation;
 Run Time (Computers);
 Stokes Law;
 Viscous Flow;
 Computational Grids;
 Convergence;
 Discrete Functions;
 Finite Element Method;
 Fourier Analysis;
 Partial Differential Equations;
 Fluid Mechanics and Heat Transfer