Grid Adaptation to multiple auto-scaled solution features

Abstract

A solution adaptive generation method for structured grids will be presented that consists of a hyperbolic grid generator and an adaptive weight composer being linked to a p.d.e. solver. Grids are generated in an efficient way from the solution of a second order hyperbolic system. The ability of the grid generator to track a specified solution feature has been previously established. Here, we focus on a simple construction of the weight function to capture multiple solution features automatically. The resulting adapted grid will rely solely on the solution without any need for geometry dependent clustering or for a user specified background distribution. The suggested procedure may beware the user from choosing in an ad hoc manner a possibly unadequate adaptation function. The method is demonstrated on an example of viscous hypersonic flow around a hyperboloid/-cone configuration