Compressible, multiphase semi-implicit method with moment of fluid interface representation

Jemison, Matthew; Sussman, Mark; Arienti, Marco

doi:10.1016/j.jcp.2014.09.005

Title: Compressible, multiphase semi-implicit method with moment of fluid interface representation

Journal Article · Tue Sep 16 00:00:00 EDT 2014 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2014.09.005· OSTI ID:1145652

Jemison, Matthew ^[1]; Sussman, Mark ^[1]; Arienti, Marco ^[2]

Florida State Univ., Tallahassee, FL (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

A unified method for simulating multiphase flows using an exactly mass, momentum, and energy conserving Cell-Integrated Semi-Lagrangian advection algorithm is presented. The deforming material boundaries are represented using the moment-of-fluid method. Our new algorithm uses a semi-implicit pressure update scheme that asymptotically preserves the standard incompressible pressure projection method in the limit of infinite sound speed. The asymptotically preserving attribute makes the new method applicable to compressible and incompressible flows including stiff materials; enabling large time steps characteristic of incompressible flow algorithms rather than the small time steps required by explicit methods. Moreover, shocks are captured and material discontinuities are tracked, without the aid of any approximate or exact Riemann solvers. As a result, wimulations of underwater explosions and fluid jetting in one, two, and three dimensions are presented which illustrate the effectiveness of the new algorithm at efficiently computing multiphase flows containing shock waves and material discontinuities with large “impedance mismatch.”

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Research Organization:: Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1145652

Report Number(s):: SAND-2014-4016J; PII: S0021999114006317

Journal Information:: Journal of Computational Physics, Vol. 279, Issue C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 48 works

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