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dc.contributor.authorOwkes, Mark
dc.contributor.authorDesjardins, Olivier
dc.date.accessioned2017-08-17T20:14:54Z
dc.date.available2017-08-17T20:14:54Z
dc.date.issued2017-03
dc.identifier.citationOwkes, Mark, and Olivier Desjardins. "A mass and momentum conserving unsplit semi-Lagrangian framework for simulating multiphase flows." Journal of Computational Physics 332, no. 2 (March 2017): 21-46. https://dx.doi.org/10.1016/j.jcp.2016.11.046.en_US
dc.identifier.issn0021-9991
dc.identifier.urihttps://scholarworks.montana.edu/xmlui/handle/1/13550
dc.description.abstractIn 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.en_US
dc.titleA mass and momentum conserving unsplit semi-Lagrangian framework for simulating multiphase flowsen_US
dc.typeArticleen_US
mus.citation.extentfirstpage21en_US
mus.citation.extentlastpage46en_US
mus.citation.issue2en_US
mus.citation.journaltitleJournal of Computational Physicsen_US
mus.citation.volume332en_US
mus.identifier.categoryEngineering & Computer Scienceen_US
mus.identifier.doi10.1016/j.jcp.2016.11.046en_US
mus.relation.collegeCollege of Engineeringen_US
mus.relation.departmentMechanical & Industrial Engineering.en_US
mus.relation.universityMontana State University - Bozemanen_US
mus.data.thumbpage6en_US


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