A solution adaptive grid procedure for an upwind parabolized flow solver
Abstract
A solution adaptive grid procedure based on an error equidistribution scheme is developed and applied to a Parabolized NavierStokes solver. An improved method for selecting weighting functions is introduced which involves normalizing a combination of flowfield gradients and curvature of a number of dependent variables and then selecting the largest at each point. The scheme redistributes grid points linebyline, with grid point motion controlled by forces analogous to tensional and torsional spring forces with the spring constants set equal to the weighting functions. Torsional terms are functions of the grid point positions along neighboring grid lines and provide grid smoothness and stability. A gridfitting scheme is introduced for external flows in which the number of grid points in the freestream are reduced to a minimum. Results for several problems are presented to demonstrate the improvements obtainable with the solution adaptive grid procedure.
 Publication:

AIAA, Fluid Dynamics, 21st Plasma Dynamics and Lasers Conference, 21st, Seattle, WA, June 1820, 1990. 17 p.
 Pub Date:
 June 1990
 Bibcode:
 1990fdpd.confU....H
 Keywords:

 Adaptive Control;
 Computational Fluid Dynamics;
 Computational Grids;
 Flow Geometry;
 Grid Generation (Mathematics);
 Hypersonic Flow;
 Flow Distribution;
 Free Flow;
 NavierStokes Equation;
 Torsion;
 Weighting Functions;
 Fluid Mechanics and Heat Transfer