Details

Autor(en) / Beteiligte

• Jain, Suhas S.
• Mani, Ali
• Moin, Parviz

Titel

A conservative diffuse-interface method for compressible two-phase flows

Ist Teil von

• Journal of computational physics, 2020-10, Vol.418, p.109606, Article 109606

Ort / Verlag

Cambridge: Elsevier Inc

Erscheinungsjahr

2020

Quelle

Elsevier ScienceDirect Journals

Beschreibungen/Notizen

• •The proposed interface-regularization terms are in conservative form.•Discrete conservation of mass, momentum and total energy is achieved.•Boundedness and TVD properties have been achieved without adding flux limiters.•Non-dissipative nature makes it suitable for turbulence and acoustics simulations.•The PDE-only nature of the method makes it a low cost, highly scalable method. In this article, we propose a novel conservative diffuse-interface method for the simulation of immiscible compressible two-phase flows. The proposed method discretely conserves the mass of each phase, momentum and total energy of the system. We use the baseline five-equation model and propose interface-regularization (diffusion–sharpening) terms in such a way that the resulting model maintains the conservative property of the underlying baseline model; and lets us use a central-difference scheme for the discretization of all the operators in the model, which leads to a non-dissipative implementation that is crucial for the simulation of turbulent flows and acoustics. Furthermore, the provable strengths of the proposed model are: (a) the model maintains the boundedness property of the volume fraction field, which is a physical realizability requirement for the simulation of two-phase flows, (b) the proposed model is such that the transport of volume fraction field inherently satisfies the total-variation-diminishing property without having to add any flux limiters that destroy the non-dissipative nature of the scheme, (c) the proposed interface-regularization terms in the model do not spuriously contribute to the kinetic energy of the system and therefore do not affect the non-linear stability of the numerical simulation, and (d) the model is consistent with the second law of thermodynamics. Finally, we present numerical simulations using the model and assess (a) the accuracy of evolution of the interface shape, (b) implementation of surface tension effects, (c) propagation of acoustics and their interaction with material interfaces, (d) the accuracy and robustness of the numerical scheme for simulation of complex high-Reynolds-number flows, and (e) performance and scalability of the method.