Riemann-problem and level-set approaches for homentropic two-fluid flow computations

B. Koren, M.R. Lewis, E.H. Brummelen, van, B. Leer, van

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    34 Citations (Scopus)
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    A finite-volume method is presented for the computation of compressible flows of two immiscible fluids at very different densities. A novel ingredient in the method is a linearized, two-fluid Osher scheme, allowing for flux computations in the case of different fluids (e.g., water and air) left and right of a cell face. A level-set technique is employed to distinguish between the two fluids. The level-set equation is incorporated into the system of hyperbolic conservation laws. Fixes are presented for the solution errors (pressure oscillations) that may occur near two-fluid interfaces when applying a capturing method. The fixes are analyzed and tested. For two-fluid flows with arbitrarily large density ratios, a simple variant of the ghost-fluid method appears to be a perfect remedy. Computations for compressible water–air flows yield perfectly sharp, pressure-oscillation-free interfaces. The masses of the separate fluids appear to be conserved up to first-order accuracy.
    Original languageEnglish
    Pages (from-to)654-674
    JournalJournal of Computational Physics
    Issue number2
    Publication statusPublished - 2002


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