A mass and momentum conserving unsplit semi-Lagrangian framework for simulating multiphase flows

Journal Article · Wed Mar 01 04:00:00 EST 2017 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2016.11.046· OSTI ID:22622258

Owkes, Mark ^[1]; Desjardins, Olivier ^[2]

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1. Mechanical and Industrial Engineering, Montana State University, Bozeman, MT 59717 (United States)
2. Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853 (United States)

In this work, we present a computational methodology for convection and advection that handles discontinuities with second order accuracy and maintains conservation to machine precision. This method can transport a variety of discontinuous quantities and is used in the context of an incompressible gas–liquid flow to transport the phase interface, momentum, and scalars. The proposed method provides a modification to the three-dimensional, unsplit, second-order semi-Lagrangian flux method of Owkes & Desjardins (JCP, 2014). The modification adds a refined grid that provides consistent fluxes of mass and momentum defined on a staggered grid and discrete conservation of mass and momentum, even for flows with large density ratios. Additionally, the refined grid doubles the resolution of the interface without significantly increasing the computational cost over previous non-conservative schemes. This is possible due to a novel partitioning of the semi-Lagrangian fluxes into a small number of simplices. The proposed scheme is tested using canonical verification tests, rising bubbles, and an atomizing liquid jet.

• OSTI ID: 22622258
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 332; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ACCURACY
ADVECTION
COMPUTERIZED SIMULATION
CONVECTION
DENSITY
INTERFACES
LAGRANGIAN FUNCTION
LIQUID FLOW
LIQUIDS
MODIFICATIONS
MULTIPHASE FLOW
RESOLUTION
THREE-DIMENSIONAL CALCULATIONS
VERIFICATION