2011•NASA Technical Reports Server (NASA)Requires access
Adaptive Finite Difference Methods in Fluid Dynamics
Marsha Berger
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Abstract
An adaptive method to solve partial differential equations in fluid mechanics is presented. The approach requires internal boundary conditions that must be conservative, data structures for keeping track of several layers of fine grid patches, error estimation, and heuristics for automatic grid generation. In practical calculations gains in computer efficiency up to 10 over nonadaptive methods are observed. The whole procedure takes 3000 lines of FORTRAN code.