Effects of operator splitting in computing curved shocks

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Dimensionally split numerical methods have been in common use in computational physics for many years. This is due to the need for speed, the formal convergence of Strang splittings, and the accessibility of shock capturing techniques in one dimension. However, the lack of genuinely unsplit multidimensional shock capturing methods has made it difficult to access just how large the errors are in a dimensionally split approach. This applies in spite of splitting corrections that have been used to obtain formally "unsplit" methods. A new class of methods that are genuinely unsplit have recently been developed. These are the so-called "Conservation ... continued below

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425 Kilobytes

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Cook, G O & Rathkopf, J October 1, 1998.

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Dimensionally split numerical methods have been in common use in computational physics for many years. This is due to the need for speed, the formal convergence of Strang splittings, and the accessibility of shock capturing techniques in one dimension. However, the lack of genuinely unsplit multidimensional shock capturing methods has made it difficult to access just how large the errors are in a dimensionally split approach. This applies in spite of splitting corrections that have been used to obtain formally "unsplit" methods. A new class of methods that are genuinely unsplit have recently been developed. These are the so-called "Conservation Element and Solution Element" (CE/SE) methods. Using these high accuracy methods, we show that converging flows and the subsequent expanding flows are accurately captured by CE/SE methods. Contrariwise, it will be shown that dimensionally-split Godunov and unsplit wave propagation methods distort the flow for the same cases, sometimes seriously.

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425 Kilobytes

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  • 1998 Nuclear Explosives Development Conference, Las Vegas, NV, October 25-30, 1998

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  • Other: DE00007597
  • Report No.: UCRL-JC-132742
  • Grant Number: W-7405-Eng-48
  • Office of Scientific & Technical Information Report Number: 7597
  • Archival Resource Key: ark:/67531/metadc707876

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  • October 1, 1998

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  • Sept. 12, 2015, 6:31 a.m.

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  • May 6, 2016, 11:16 p.m.

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Cook, G O & Rathkopf, J. Effects of operator splitting in computing curved shocks, article, October 1, 1998; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc707876/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.