A volume-of-fluid reconstruction based interface sharpening algorithm for a reduced equation model of two-material compressible flow. (English) Zbl 1521.76849
Summary: In this paper we present a numerical method for the simulation of two-material flows governed by the compressible unsteady Euler equations. A system of six equations is used, with a pressure relaxation step which ensures convergence to the equivalent five-equation model. The numerical method employs a volume-of-fluid interface tracking method in order to maintain a sharp interface indefinitely, along with a robust update procedure for interfacial cells which ensures density and internal energy positivity. Numerical results are presented for a range of test cases, including for liquid-gas shock-bubble interaction and cylindrically convergent Richtmyer-Meshkov instability between metal and air. Results are in agreement with theoretical data, and compare well to other approaches designed to sharpen the material interface in the five-equation model.
MSC:
| 76T06 | Liquid-liquid two component flows |
| 76M12 | Finite volume methods applied to problems in fluid mechanics |
| 76Nxx | Compressible fluids and gas dynamics |
Keywords:
interface sharpening; volume-of-fluid; multimaterial compressible flow; shock-bubble interactionSoftware:
HE-E1GODFReferences:
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