22nd Congress of International Council of the Aeronautical Sciences, Harrogate, UK, 28 August - 1st September, 2000
Paper ICAS 2000-2.3.4

THREE DIMENSIONAL UNSTRUCTURED GRID GENERATION FOR FINITE VOLUME SOLUTION OF EULER EQUATIONS

K. Mazaheri, S. Bodaghabadi
Sharif University of Technology, Iran

Keywords: unstructured grid generation, delaunay triangulation, euler equations

To solve the Euler equations on a threedimensional unstructured grid, an efficient procedure for generation of relatively high quality elements is presented. The basic steps of this method, which is essentially based on Delaunay’s triangulation, is consisted of generating surface points, initial tessellation, point distribution function interpolation, internal node generation and update triangulation. Special treatments for surmounting degenerate cases are considered within the algorithm. Validation and reliability of algorithm are checked by different examples. An upwind scheme is used to solve Euler equations on these unstructured grids for steady-state problems. Spatial discritization is accomplished by a cell-centered finite-volume formulation using flux-difference splitting method of Roe. Solution is advanced in time by a simple explicit scheme. Local time stepping is used to accelerate convergence to the steady state. Some application cases are treated to test the method.

view full paper