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Attenuation Of Spurious Oscillations In The Numerical Capture Of Shock Waves

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  • D. PORTES

    (Centro Federal de Educação Tecnológica do Rio de Janeiro, Departamento de Educação Superior/DEPES, Av. Maracanã 229, Maracanã, CEP 20271-110, Rio de Janeiro, Brazil)

  • H. RODRIGUES

    (Centro Federal de Educação Tecnológica do Rio de Janeiro, Departamento de Educação Superior/DEPES, Av. Maracanã 229, Maracanã, CEP 20271-110, Rio de Janeiro, Brazil)

  • S. B. DUARTE

    (Centro Brasileiro de Pesquisas Físicas, CBPF/MCT, Rua Dr. Xavier Sigaud, Urca, CEP 222080-190, Rio de Janeiro, Brazil)

Abstract

Artificial viscosity is often expressed as a superposition of linear and quadratic terms in the first derivative of the velocity field. In trying to find a continuous solution for the hydrodynamic equations, we propose an alternative one-term artificial viscosity which is a linear form of the derivative of the specific volume. It is shown that this artificial viscosity is able to capture the profile of the steady plane shock wave, largely removing the non-physical oscillations originated by the artificial viscosity of von Neumann and Richtmyer. Analytical and numerical calculations for one-dimensional shock using both artificial viscosities are compared.

Suggested Citation

  • D. Portes & H. Rodrigues & S. B. Duarte, 2006. "Attenuation Of Spurious Oscillations In The Numerical Capture Of Shock Waves," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(10), pages 1403-1413.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:10:n:s0129183106009941
    DOI: 10.1142/S0129183106009941
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    Keywords

    Artificial viscosity; shock wave;

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