A Freestream-Preserving High-Order Finite-Volume Method for Mapped Grids with Adaptive-Mesh Refinement

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A fourth-order accurate finite-volume method is presented for solving time-dependent hyperbolic systems of conservation laws on mapped grids that are adaptively refined in space and time. Novel considerations for formulating the semi-discrete system of equations in computational space combined with detailed mechanisms for accommodating the adapting grids ensure that conservation is maintained and that the divergence of a constant vector field is always zero (freestream-preservation property). Advancement in time is achieved with a fourth-order Runge-Kutta method.

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Guzik, S; McCorquodale, P & Colella, P December 16, 2011.

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A fourth-order accurate finite-volume method is presented for solving time-dependent hyperbolic systems of conservation laws on mapped grids that are adaptively refined in space and time. Novel considerations for formulating the semi-discrete system of equations in computational space combined with detailed mechanisms for accommodating the adapting grids ensure that conservation is maintained and that the divergence of a constant vector field is always zero (freestream-preservation property). Advancement in time is achieved with a fourth-order Runge-Kutta method.

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PDF-file: 12 pages; size: 1.3 Mbytes

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  • Presented at: 50th AIAA Aerospace Sciences Meeting, Nashville, TN, United States, Jan 09 - Jan 12, 2012

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  • Report No.: LLNL-CONF-520651
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 1034480
  • Archival Resource Key: ark:/67531/metadc835519

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Office of Scientific & Technical Information Technical Reports

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  • December 16, 2011

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  • May 19, 2016, 3:16 p.m.

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  • Nov. 28, 2016, 6:03 p.m.

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Guzik, S; McCorquodale, P & Colella, P. A Freestream-Preserving High-Order Finite-Volume Method for Mapped Grids with Adaptive-Mesh Refinement, article, December 16, 2011; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc835519/: accessed October 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.