Phase-field method based on discrete unified gas-kinetic scheme for large-density-ratio two-phase flows

Discrete unified gas kinetic scheme for all Knudsen number flows: low-speed isothermal case.

Based on the Boltzmann-BGK (Bhatnagar-Gross-Krook) equation, in this paper a discrete unified gas kinetic scheme (DUGKS) is developed for low-speed isothermal flows. The DUGKS is a finite-volume scheme with the discretization of particle velocity space. After the introduction of two auxiliary distribution functions with the inclusion of collision effect, the DUGKS becomes a fully explicit schem...

Comparison of the hyperbolic range of two-fluid models on two-phase gas -liquid flows

In this paper, a numerical study is conducted in order to compare hyperbolic range of equations of isotherm two-fluid model governing on two-phase flow inside of pipe using conservative Shock capturing method. Differential equations of the two-fluid model are presented in two forms (i.e. form I and form II). In forms I and II, pressure correction terms are hydrodynamic and hydrostatic, respecti...

A Gas-kinetic Scheme for Reactive Flows

In this paper, the gas-kinetic BGK scheme for the compressible flow equations is extended to chemical reactive flow. The mass fraction of the unburnt gas is implemented into the gas kinetic equation by assigning a new internal degree of freedom to the particle distribution function. The new variable can be also used to describe fluid trajectory for the nonreactive flows. Due to the kinetic gove...

A Parallelizable Method for Two - Phase Flows

Phase characterization of experimental gas–liquid two-phase flows