استفاده از شبكه ي بي سازمان سه بعدي به منظور تحليل معادلات اويلر

USING THREE DIMENSIONAL UNSTRUCTURED GRID TO SOLVE EULER EQUATIONS

In this paper, grid generation for some simple geometries and solution to the steady state Euler equations representing the inviscid flow over them have been presented. An effective algorithm based on delaunay triangulation has been provided for generating three-dimensional grids. This algorithm includes; boundary point creation, spacing function specification, node creation in the domain and adding these nodes to the grid and finally local refinement of the grid. The improper cases have been rectified elaborately and some suitable solutions for these cases have been presented. The validation of the. algorithm has been verified by several grid generation cases and the quality of grids is studied using some suitable criteria. To solve three-dimensional Euler equations, a finite volume cell-center scheme has been used. In order to discretize and validate the code, some examples of supersonic flows have been solved and presented.