Actions for Interfacial gauge methods for incompressible fluid dynamics [electronic resource].
Interfacial gauge methods for incompressible fluid dynamics [electronic resource].
- Published
- Washington, D.C. : United States. Dept. of Energy. Office of Advanced Scientific Computing Research, 2016.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy - Physical Description
- Article numbers e1,501,869 : digital, PDF file
- Additional Creators
- Lawrence Berkeley National Laboratory, United States. Department of Energy. Office of Advanced Scientific Computing Research, and United States. Department of Energy. Office of Scientific and Technical Information
Access Online
- Restrictions on Access
- Free-to-read Unrestricted online access
- Summary
- Designing numerical methods for incompressible fluid flow involving moving interfaces, for example, in the computational modeling of bubble dynamics, swimming organisms, or surface waves, presents challenges due to the coupling of interfacial forces with incompressibility constraints. A class of methods, denoted interfacial gauge methods, is introduced for computing solutions to the corresponding incompressible Navier-Stokes equations. These methods use a type of "gauge freedom" to reduce the numerical coupling between fluid velocity, pressure, and interface position, allowing high-order accurate numerical methods to be developed more easily. Making use of an implicit mesh discontinuous Galerkin framework, developed in tandem with this work, high-order results are demonstrated, including surface tension dynamics in which fluid velocity, pressure, and interface geometry are computed with fourth-order spatial accuracy in the maximum norm. Applications are demonstrated with two-phase fluid flow displaying fine-scaled capillary wave dynamics, rigid body fluid-structure interaction, and a fluid-jet free surface flow problem exhibiting vortex shedding induced by a type of Plateau-Rayleigh instability. The developed methods can be generalized to other types of interfacial flow and facilitate precise computation of complex fluid interface phenomena.
- Report Numbers
- E 1.99:1379359
- Subject(s)
- Note
- Published through SciTech Connect.
06/10/2016.
"ark:/13030/qt81t6b38j"
Science Advances 2 6 ISSN 2375-2548 AM
R. Saye. - Funding Information
- AC02-05CH11231
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