Method for automatic optimization of finite difference grids in

Details Method for automatic optimization of finite difference grids in Method for automatic optimization of finite difference grids in

1997-11-06

1999-11-23

Teska, Kevin J.

3955003, 395102, G06F 9455

Patent

active

059915269

ABSTRACT:
Before the execution of simulation, variation rates at the grid points of functions for the calculation of intersections between grid points and the surface of the shape to be analyzed of a simulation model are calculated; new grid spacings are calculated by performing calculation so that the greater the variation rate the narrower the grid spacing; and where, with respect to these grid spacings, aspect ratios far deviate from 1, finite difference grids are automatically optimized by adjusting the grid spacings so that the aspect ratios approach 1. Furthermore, during the execution of simulation, the variation rates of functions, whose values are physical quantities at different grid points, are calculated, and finite difference grids are automatically optimized by performing calculation so that the greater the the variation rate the narrower the grid spacing.

REFERENCES:
patent: 5740342 (1998-04-01), Kocberber
patent: 5801969 (1998-09-01), Nagahama
"An Object Oriented Approach to Boundary Conditions in Finite Difference Fluid Dynamics Codes", by I. Angus, IEEE Proceedings of the Scalable High Performance Computing Conference, 1992, pp.145-148.
"Automatic Generation of Finite Difference Meshes by an Evolutionary Algorithm", by M. Witting and S. Burkhardt, IEEE Transactions on Magnetics, vol. 32, No. 3, May 1996, pp. 1338-1340.
Nakahashi et al. "Three Dimensional Adaptive Grid Method" AIAA Journal 24:948-954.

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