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Abstract: An Adaptive Cell-Centered Projection Method
for the Incompressible Euler Equations
by
Daniel Francis Martin
Doctor of Philosophy in Engineering-Mechanical Engineering
University of California at Berkeley
Professor Phillip Colella, Chair
Adaptive methods for the numerical solution of partial differential equations concentrate
computational effort where it is most needed. Such methods have proved useful for overcoming
limitations in computational resources and improving the resolution of... (Update)
Context of citations to this paper: More
.... levels, with h = 1=2 n ; n = 1; 6] Richardson extrapolation is used to estimate the local truncation error, as described in [38]. All rectangular cells with :1h 2 are tagged for refinement, according to the procedure detailed in [38] We also tag every mesh...
...di erence stencil for the Laplacian. The stability of such a scheme was shown in [10] this approximate projection has been used by Martin [12] in an adaptive projection algorithm, and a variation of this (with the same L but a higher order D) by Minion [14] in an adaptive...
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Approximate Projection Methods: Part I. Inviscid Analysis - Almgren, Bell, Crutchfield
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Embedded Boundary Algorithms for Solving the.. - Day, Colella.. (1998)
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1.1: Perspective on Eulerian Finite Volume Methods for Incompressible.. - Kothe (1999)
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0.9: Adaptive Mesh Refinement in Titanium - Wen, Colella
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BibTeX entry: (Update)
D. Martin, An Adaptive Cell-centered Projection Method for the Incompressible Euler Equations. PhD thesis, UC Berkeley (1998). http://citeseer.ist.psu.edu/martin98adaptive.html More
@misc{ martin98adaptive,
author = "D. Martin",
title = "An Adaptive Cell-centered Projection Method for the Incompressible Euler
Equations",
text = "D. Martin, An Adaptive Cell-centered Projection Method for the Incompressible
Euler Equations. PhD thesis, UC Berkeley (1998).",
year = "1998",
url = "citeseer.ist.psu.edu/martin98adaptive.html" }
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