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      A Numerical Method on Eulerian Grids for Two-Phase Compressible Flows with Mie-Gr\"uneisen Equations of State

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          Abstract

          A numerical method on unstructured Eulerian grids was proposed recently by the authors for two-phase compressible flows with ideal gases [Adv. Appl. Math. Mech., 8(2), 2016, pp. 187--212]. We extend the method therein to the case with fluids described by the Mie-Gr\"uneisen equation of state, which is widely used in practical applications, and propose a robust approximate Riemann solver in an iterative manner to obtain the interface velocity and fluxes. The accuracy of the approximate Riemann solver is analyzed. Numerical examples are presented for Riemann problems, air blast and underwater explosion applications. It is shown that our method leads to reliable and high resolution for shocks and phase interfaces.

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          DIRECT NUMERICAL SIMULATION OF FREE-SURFACE AND INTERFACIAL FLOW

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            The Riemann problem for general systems of conservation laws

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              Evolution, Implementation, and Application of Level Set and Fast Marching Methods for Advancing Fronts

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                Author and article information

                Journal
                15 September 2017
                Article
                1709.05318
                8a4a5da1-a668-43b5-a88b-e90177788b57

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                76T10, 76M12
                28 pages and 60 figures
                math.NA

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