Solution of Euler's equations on adaptive grids using a fast unstructured grid second order Godunov solver (FUGGS)
We describe a new technique for solving Euler's gasdynamic equations on unstructured triangular grids with arbitrary connectivity. The formulation is based on the second order Godunov method. The use of data structure with only one level of indirectness leads to an easily vectorized and parallelized code with a low level of overhead in memory requirement and high computational efficiency. The performance and accuracy of the algorithm has been tested for a very wide range of Mach numbers starting from very low subsonic to high hypersonic flows, without the need to adjust any code parameters. The algorithm was implemented in a vertex based and triangle based scheme. The computational results produced by the triangle based version showed an extremely low level of artificial viscosity.
A new method of direct dynamic refinement of unstructured grids, as described in this paper, allows an automatic adaptation of the grid to regions of pressure or density discontinuity, steep pressure or density gradient, and high vortical activity. Results using the algorithm with dynamic grid refinement are presented.
KeywordsMach Number Unstructured Grid Wedge Angle Error Indicator Adaptive Grid
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