A Cartesian grid embedded boundary method for hyperbolic conservation laws

We present a second-order Godunov algorithm to solve time-dependent hyperbolic systems of conservation laws on irregular domains. Our approach is based on a formally consistent discretization of the conservation laws on a finite-volume grid obtained from intersecting the domain with a Cartesian grid...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 211; no. 1; pp. 347 - 366
Main Authors:	Colella, Phillip, Graves, Daniel T., Keen, Benjamin J., Modiano, David
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 2006 Elsevier
Subjects:	Boundaries Cartesian Computational techniques Conservation laws Discontinuity Discretization Exact sciences and technology Hyperbolic systems Mathematical methods in physics Physics Preserves Stability Conservation laws Discontinuity Second order Hyperbolic system Algorithms Discretization Mass difference Calculation Calculation methods
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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