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2015 High-accuracy embedded boundary grid generation using the divergence theorem
Peter Schwartz, Julie Percelay, Terry Ligocki, Hans Johansen, Daniel Graves, Dharshi Devendran, Phillip Colella, Eli Ateljevich
Commun. Appl. Math. Comput. Sci. 10(1): 83-96 (2015). DOI: 10.2140/camcos.2015.10.83

Abstract

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.

Citation

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Peter Schwartz. Julie Percelay. Terry Ligocki. Hans Johansen. Daniel Graves. Dharshi Devendran. Phillip Colella. Eli Ateljevich. "High-accuracy embedded boundary grid generation using the divergence theorem." Commun. Appl. Math. Comput. Sci. 10 (1) 83 - 96, 2015. https://doi.org/10.2140/camcos.2015.10.83

Information

Received: 12 March 2014; Revised: 11 July 2014; Accepted: 16 October 2014; Published: 2015
First available in Project Euclid: 16 November 2017

zbMATH: 1312.65204
MathSciNet: MR3327728
Digital Object Identifier: 10.2140/camcos.2015.10.83

Subjects:
Primary: 65N08 , 65N12 , 65N50

Keywords: Cartesian grid embedded boundaries , finite volume methods , grid generation

Rights: Copyright © 2015 Mathematical Sciences Publishers

Vol.10 • No. 1 • 2015
MSP
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