A Cartesian embedded boundary method for hyperbolic conservation laws

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The authors develop an embedded boundary finite difference technique for solving the compressible two- or three-dimensional Euler equations in complex geometries on a Cartesian grid. The method is second order accurate with an explicit time step determined by the grid size away from the boundary. Slope limiters are used on the embedded boundary to avoid non-physical oscillations near shock waves. They show computed examples of supersonic flow past a cylinder and compare with results computed on a body fitted grid. Furthermore, they discuss the implementation of the method for thin geometries, and show computed examples of transonic flow past an ... continued below

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Sjogreen, B & Petersson, N A December 4, 2006.

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The authors develop an embedded boundary finite difference technique for solving the compressible two- or three-dimensional Euler equations in complex geometries on a Cartesian grid. The method is second order accurate with an explicit time step determined by the grid size away from the boundary. Slope limiters are used on the embedded boundary to avoid non-physical oscillations near shock waves. They show computed examples of supersonic flow past a cylinder and compare with results computed on a body fitted grid. Furthermore, they discuss the implementation of the method for thin geometries, and show computed examples of transonic flow past an airfoil.

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PDF-file: 25 pages; size: 1.9 Mbytes

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  • Journal Name: Communications in Computational Physics, vol. 2, no. 6, March 12, 2008, pp. 1199-1219; Journal Volume: 2; Journal Issue: 6

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  • Report No.: UCRL-JRNL-226709
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 936955
  • Archival Resource Key: ark:/67531/metadc902656

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  • December 4, 2006

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  • Sept. 27, 2016, 1:39 a.m.

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  • Dec. 2, 2016, 8:56 p.m.

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Sjogreen, B & Petersson, N A. A Cartesian embedded boundary method for hyperbolic conservation laws, article, December 4, 2006; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc902656/: accessed October 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.