Equidistant mesh for gas dynamic calculations
Abstract
Results derived for the mesh improvement step of a split calculation are presented, and a properly refined mesh is obtained that fits a given solution function. A readily constructed but not optimally refined grid that can reduce truncation error is described. It uses distance along the solution curve as the equally incremental computational coordinate. The equidistant mesh is a generalization of the onedimensional curvilinear distance coordinate to twodimensional surfaces; the grid points divide each grid line into segments of equal lengths. The difference equations to be solved are written in terms of the grid as projected into the (x,y) plane. A gas dynamic example representing the flow of air past a semiinfinite slab with a wedgeshaped leading edge is shown and discussed. It is concluded that the equidistant mesh automatically provides refinement in regions of large variation.
 Publication:

Numerical Grid .eneration
 Pub Date:
 1982
 Bibcode:
 1982ngg..proc..859A
 Keywords:

 Computational Fluid Dynamics;
 Computational Grids;
 Finite Difference Theory;
 Gas Dynamics;
 Flow Equations;
 Leading Edges;
 Truncation Errors;
 Wave Fronts;
 Fluid Mechanics and Heat Transfer