A projection method for locally refined grids
Journal Article
·
· Journal of Computational Physics
- New York Univ., New York, NY (United States)
A numerical method for the solution of the two-dimensional Euler equations for incompressible flow on locally refined grids is presented. The method is a second-order Godunov-projection method adapted from Bell, Colella, and Glaz. Second-order accuracy of the numerical method in time and space is established through numerical experiments. The main contributions of this work concern the formulation and implementation of a projection for refined grids. A discussion of the adjointness relation between gradient and divergence operators for a refined grid MAC projection is presented, and a refined grid approximate projection is developed. An efficient multigrid method which exactly solves the projection is developed, and a method for casting certain approximate projections as MAC projections on refined grids is presented. 35 refs., 9 figs., 4 tabs.
- DOE Contract Number:
- FG02-92ER25139; AC03-76SF00098; W-7405-ENG-36
- OSTI ID:
- 478428
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 127; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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