Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 400, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2019.108991
Keywords
Multiphase flow; Symmetry-preserving; Mimetic; Conservative level set; Energy-preserving
Funding
- Ministerio de Economia y Competitividad, Spain [ENE2017-88697-R, ENE2015-70672-P]
- FI AGAUR-Generalitat de Catalunya fellowship [2017FI_B_00616]
- Ramon y Cajal postdoctoral contract [RYC-2012-11996]
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The computation of multiphase flows presents a subtle energetic equilibrium between potential (i.e., surface) and kinetic energies. The use of traditional interface-capturing schemes provides no control over such a dynamic balance. In the spirit of the well-known symmetry-preserving and mimetic schemes, whose physics-compatible discretizations rely upon preserving the underlying mathematical structures of the space, we identify the corresponding structure and propose a new discretization strategy for curvature. The new scheme ensures conservation of mechanical energy (i.e., surface plus kinetic) up to temporal integration. Inviscid numerical simulations are performed to show the robustness of such a method. (C) 2019 Elsevier Inc. All rights reserved.
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