An energy-preserving level set method for multiphase flows

Abstract

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 wellknown 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.

References in corpus (2)

• A conservative diffuse interface method for two-phase flows with provable boundedness properties
• A consistent solution of the reinitialization equation in the conservative level-set method

Cited by in corpus (5)

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• A Momentum Balance Correction to the Non-Conservative One-Fluid Formulation in Boiling Flows using Volume-of-Fluid
• On the implementation of flux limiters in algebraic frameworks
• On the Reynolds-number scaling of Poisson solver complexity