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Riemann-Problem and Level-Set Approaches for Homentropic Two-Fluid Flow Computations

✍ Scribed by B. Koren; M.R. Lewis; E.H. van Brummelen; B. van Leer

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 221 KB
Volume: 181
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.2002.7150

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✦ Synopsis

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.

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