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High-accuracy
embedded boundary grid generation using the divergence
theorem
Peter Schwartz, Julie Percelay, Terry J. Ligocki, Hans Johansen, Daniel T. Graves, Dharshi Devendran, Phillip Colella and Eli Ateljevich |
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Vol. 10 (2015), No. 1, 83–96
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Abstract |
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We present an algorithm to produce the necessary geometric information for finite volume calculations in the context of Cartesian grids with embedded boundaries. Given an order of accuracy for the overall calculation, we show what accuracy is required for each of the geometric quantities and we demonstrate how to calculate the moments using the divergence theorem. We demonstrate that, for a known flux, these moments can be used to create a flux divergence of the expected order. |
Keywords
Cartesian grid embedded boundaries, grid generation, finite
volume methods
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Mathematical Subject Classification 2010
Primary: 65N12, 65N50, 65N08
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Milestones
Received: 12 March 2014
Revised: 11 July 2014
Accepted: 16 October 2014
Published: 27 March 2015
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Authors |
| Peter Schwartz | |
| Applied Numerical Algorithms
Group Lawrence Berkeley National Laboratory 1 Cyclotron Road Berkeley, CA 94720 United States |
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| Julie Percelay | |
| Lawrence Berkeley National
Laboratory 1 Cyclotron Road Berkeley, CA 94720 United States |
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| Terry J. Ligocki | |
| Applied Numerical Algorithms
Group Lawrence Berkeley National Laboratory 1 Cyclotron Road Berkeley, CA 94720 United States |
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| Hans Johansen | |
| Applied Numerical Algorithms
Group Lawrence Berkeley National Laboratory 1 Cyclotron Road Berkeley, CA 94720 United States |
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| Daniel T. Graves | |
| Applied Numerical Algorithms
Group Lawrence Berkeley National Laboratory 1 Cyclotron Road Berkeley, CA 94720 United States |
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| Dharshi Devendran | |
| Applied Numerical Algorithms
Group Lawrence Berkeley National Laboratory 1 Cyclotron Road Berkeley, CA 94720 United States |
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| Phillip Colella | |
| Applied Numerical Algorithms
Group Lawrence Berkeley National Laboratory 1 Cyclotron Road Berkeley, CA 94720 United States |
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| Eli Ateljevich | |
| California Department of Water
Resources 1416 9th Street Sacramento, CA 95821 United States |
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