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Solution of multi-component, two-phase Riemann problems with constant pressure boundaries

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Abstract

Riemann problems for two associated hyperbolic systems of conservation laws are considered. The Riemann problem for constant flow velocity finds existing solutions in the literature. Here, it is proved that the associated Riemann problem with the alternative assumption of constant pressure boundaries can be calculated from the constant velocity solution. This introduces the total velocity as an unknown function of time, which is explicitly determined in an algorithmic fashion.

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Authors and Affiliations

  1. Memorial University of Newfoundland, St. John’s, Canada

    Thormod E. Johansen & Lesley A. James

Authors
  1. Thormod E. Johansen
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  2. Lesley A. James
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Correspondence to Thormod E. Johansen.

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Johansen, T.E., James, L.A. Solution of multi-component, two-phase Riemann problems with constant pressure boundaries. J Eng Math 96, 23–35 (2016). https://doi.org/10.1007/s10665-014-9773-7

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  • DOI: https://doi.org/10.1007/s10665-014-9773-7

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