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An Eulerian Interface-Sharpening Algorithm for Compressible Gas Dynamics

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Modeling, Simulation and Optimization of Complex Processes - HPSC 2012

Abstract

We describe a novel Eulerian interface-sharpening approach for the efficient numerical resolution of contact discontinuities arising from inviscid compressible flow in more than one space dimension. The algorithm uses the single-phase compressible Euler equations as the model system, and introduces auxiliary differential terms to the model so as to neutralize numerical diffusion that is inevitable when the original Euler system is solved by a diffused interface method. A standard fractional-step method is employed to solve the proposed model equations in two steps, yielding an easy implementation of the algorithm. Preliminary results obtained using an anti-diffusion based model system are shown to demonstrate the feasibility of the algorithm for practical problems.

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Acknowledgements

This work was supported in part by National Science Council of Taiwan Grants #96-2115-M-002-008-MY3 and 99-2115-M-002-005-MY2.

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Authors and Affiliations

  1. Department of Mathematics, National Taiwan University, Taipei, 10617, Taiwan

    Keh-Ming Shyue

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  1. Keh-Ming Shyue
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Correspondence to Keh-Ming Shyue .

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Editors and Affiliations

  1. Interdisciplinary Center for Scientific Computing (IWR), University of Heidelberg, Heidelberg, Germany

    Hans Georg Bock

  2. Vietnam Academy of Science and Technology(VAST), Hanoi, Vietnam

    Xuan Phu Hoang

  3. Interdisciplinary Center for Scientific Computing (IWR), University of Heidelberg, Heidelberg, Germany

    Rolf Rannacher

  4. Interdisciplinary Center for Scientific Computing (IWR), University of Heidelberg, Heidelberg, Germany

    Johannes P. Schlöder

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Shyue, KM. (2014). An Eulerian Interface-Sharpening Algorithm for Compressible Gas Dynamics. In: Bock, H., Hoang, X., Rannacher, R., Schlöder, J. (eds) Modeling, Simulation and Optimization of Complex Processes - HPSC 2012. Springer, Cham. https://doi.org/10.1007/978-3-319-09063-4_18

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