Stability of Numerical Interface Conditions for Fluid/Structure Interaction

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In multi physics computations, where a compressible fluid is coupled with a linearly elastic solid, it is standard to enforce continuity of the normal velocities and of the normal stresses at the interface between the fluid and the solid. In a numerical scheme, there are many ways that the velocity- and stress-continuity can be enforced in the discrete approximation. This paper performs a normal mode analysis to investigate the stability of different numerical interface conditions for a model problem approximated by upwind type of finite difference schemes. The analysis shows that depending on the ratio of densities between the solid ... continued below

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Banks, J W & Sjogreen, B August 13, 2009.

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In multi physics computations, where a compressible fluid is coupled with a linearly elastic solid, it is standard to enforce continuity of the normal velocities and of the normal stresses at the interface between the fluid and the solid. In a numerical scheme, there are many ways that the velocity- and stress-continuity can be enforced in the discrete approximation. This paper performs a normal mode analysis to investigate the stability of different numerical interface conditions for a model problem approximated by upwind type of finite difference schemes. The analysis shows that depending on the ratio of densities between the solid and the fluid, some numerical interface conditions are stable up to the maximal CFL-limit, while other numerical interface conditions suffer from a severe reduction of the stable CFL-limit. The paper also presents a new interface condition, obtained as a simplified charcteristic boundary condition, that is proved to not suffer from any reduction of the stable CFL-limit. Numerical experiments in one space dimension show that the new interface condition is stable also for computations with the non-linear Euler equations of compressible fluid flow coupled with a linearly elastic solid.

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PDF-file: 22 pages; size: 0.3 Mbytes

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  • Journal Name: Communications in Computational Physics, vol. 10, no. 2, April 27, 2011, pp. 279-304; Journal Volume: 10; Journal Issue: 2

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  • Report No.: LLNL-JRNL-415710
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 1020338
  • Archival Resource Key: ark:/67531/metadc835391

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  • August 13, 2009

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  • May 19, 2016, 3:16 p.m.

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  • Dec. 2, 2016, 12:32 p.m.

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Banks, J W & Sjogreen, B. Stability of Numerical Interface Conditions for Fluid/Structure Interaction, article, August 13, 2009; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc835391/: accessed December 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.