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A multiple domain algorithm for modeling two dimensional contaminant transport flows

Publication ,  Journal Article
Rao, P; Medina, MA
Published in: Applied Mathematics and Computation
March 1, 2006

To efficiently simulate large scale contaminant transport flows on serial computing platforms, the authors believe that explicit finite difference formulations need to be integrated with performance-enhancing tools. Such integration will not only increase the scope of modeling across various applications but is also aimed at achieving better physical modeling of the transport. In this paper we introduce the application of a multiple domain algorithm (integrated with a finite difference formulation) to solve the two dimensional advection dispersion equation. The efficiency of the abstractions and mechanisms provided by this integration, aimed at accelerating the solution to the desired transient state, is tested. The focus is first in discussing the formulation and then testing its reliability, with and without the integration. To check the latter, we have used an analytical solution as the benchmark solution. The results indicate that the primary purpose of using a multiple domain approach is met without any loss in the accuracy of the solution. © 2005 Elsevier Inc. All rights reserved.

Duke Scholars

Published In

Applied Mathematics and Computation

DOI

ISSN

0096-3003

Publication Date

March 1, 2006

Volume

174

Issue

1

Start / End Page

117 / 133

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4903 Numerical and computational mathematics
  • 4901 Applied mathematics
  • 0802 Computation Theory and Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

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Rao, P., & Medina, M. A. (2006). A multiple domain algorithm for modeling two dimensional contaminant transport flows. Applied Mathematics and Computation, 174(1), 117–133. https://doi.org/10.1016/j.amc.2005.03.021
Rao, P., and M. A. Medina. “A multiple domain algorithm for modeling two dimensional contaminant transport flows.” Applied Mathematics and Computation 174, no. 1 (March 1, 2006): 117–33. https://doi.org/10.1016/j.amc.2005.03.021.
Rao P, Medina MA. A multiple domain algorithm for modeling two dimensional contaminant transport flows. Applied Mathematics and Computation. 2006 Mar 1;174(1):117–33.
Rao, P., and M. A. Medina. “A multiple domain algorithm for modeling two dimensional contaminant transport flows.” Applied Mathematics and Computation, vol. 174, no. 1, Mar. 2006, pp. 117–33. Scopus, doi:10.1016/j.amc.2005.03.021.
Rao P, Medina MA. A multiple domain algorithm for modeling two dimensional contaminant transport flows. Applied Mathematics and Computation. 2006 Mar 1;174(1):117–133.
Journal cover image

Published In

Applied Mathematics and Computation

DOI

ISSN

0096-3003

Publication Date

March 1, 2006

Volume

174

Issue

1

Start / End Page

117 / 133

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4903 Numerical and computational mathematics
  • 4901 Applied mathematics
  • 0802 Computation Theory and Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics