An energy-preserving level set method for multiphase flows

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 sche...

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Detalles Bibliográficos
Autores: Valle Marchante, Nicolás|||0000-0003-2140-041X, Trias Miquel, Francesc Xavier|||0000-0002-5966-0703, Castro González, Jesús|||0000-0002-8943-2402
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/173468
Acceso en línea:https://hdl.handle.net/2117/173468
https://dx.doi.org/10.1016/j.jcp.2019.108991
Access Level:acceso abierto
Palabra clave:Multiphase flow
Level set methods
Power transmission
Symmetry-preserving
Mimetic
Conservative level set
Energy-preserving
Flux multifàsic
Corbes de nivell, Mètodes de
Energia mecànica -- Transmissió
Àrees temàtiques de la UPC::Física::Termodinàmica
Descripción
Sumario: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.