Anomalous physical effects from artificial numerical length scales

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Shock capturing algorithms are widely used for simulations of compressible fluid flow. Though these algorithms resolve a shock wave within a couple of grid points, the artificial length scale from the numerical shock profile can have side effects. The side effects are similar to physical effects that occur when a relaxation process gives rise to fully or partly dispersed shock waves. Two anomalies due to a non-zero shock width are discussed: (1) in one-dimension, a non-decaying entropy spike results from a transient when a shock profile is formed or changed; (2) in multi-dimensions, front curvature affects the propagation of a ... continued below

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10 p.

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Menikoff, R. & Lackner, K.S. September 1, 1995.

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Shock capturing algorithms are widely used for simulations of compressible fluid flow. Though these algorithms resolve a shock wave within a couple of grid points, the artificial length scale from the numerical shock profile can have side effects. The side effects are similar to physical effects that occur when a relaxation process gives rise to fully or partly dispersed shock waves. Two anomalies due to a non-zero shock width are discussed: (1) in one-dimension, a non-decaying entropy spike results from a transient when a shock profile is formed or changed; (2) in multi-dimensions, front curvature affects the propagation of a shock wave. The authors show that both the entropy anomaly and the curvature effect are a natural consequence of the conservation laws. The same analysis applies both to the continuum equations and to their finite difference approximations in conservation form. Consequently, the artificial length scale inherent in a shock capturing algorithm can mimic real physical effects that are associated with partly dispersed shock waves.

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10 p.

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OSTI as DE95016865

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  • 20. international symposium on shock waves, Pasadena, CA (United States), 24-28 Jul 1995

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  • Other: DE95016865
  • Report No.: LA-UR--95-2135
  • Report No.: CONF-9507152--3
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 102138
  • Archival Resource Key: ark:/67531/metadc626163

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  • September 1, 1995

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  • June 16, 2015, 7:43 a.m.

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  • Feb. 29, 2016, 1:07 p.m.

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Menikoff, R. & Lackner, K.S. Anomalous physical effects from artificial numerical length scales, article, September 1, 1995; New Mexico. (digital.library.unt.edu/ark:/67531/metadc626163/: accessed December 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.