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An Adaptive Cell-Centered Projection Method for the Incompressible Euler Equations (1998)  (Make Corrections)  (3 citations)
Daniel Francis Martin



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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)

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.... 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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Gerris: A Tree-Based Adaptive Solver For The Incompressible Euler .. - Popinet   (Correct)
Approximate Projection Methods: Part I. Inviscid Analysis - Almgren, Bell, Crutchfield   (Correct)
Embedded Boundary Algorithms for Solving the.. - Day, Colella.. (1998)   (Correct)

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1.1:   Perspective on Eulerian Finite Volume Methods for Incompressible.. - Kothe (1999)   (Correct)
0.9:   Adaptive Mesh Refinement in Titanium - Wen, Colella   (Correct)

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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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