TY - JOUR
T1 - A Hybrid Scheme of Level Set and Diffuse Interface Methods for Simulating Multi-Phase Compressible Flows
AU - Fu , Meiyan
AU - Lu , Tiao
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 715
EP - 743
PY - 2022
DA - 2022/07
SN - 15
DO - http://doi.org/10.4208/nmtma.OA-2021-0162
UR - https://global-sci.org/intro/article_detail/nmtma/20813.html
KW - Multi-phase flow, sharp interface, diffuse interface, level set, six-equation model,
exact Riemann solver, Mie-Grüneisen equation of state.
AB - <p style="text-align: justify;">We propose a hybrid scheme combing the level set method and the multi-component diffuse interface method to simulate complex multi-phase flows. The
overall numerical scheme is based on a sharp interface framework where the level
set method is adopted to capture the material interface, the Euler equation is used
to describe a single-phase flow on one side of the interface and the six-equation
diffuse interface model is applied to model the multi-phase mixture or gas-liquid
cavitation on the other side. An exact Riemann solver, between the Euler equation
and the six-equation model with highly nonlinear Mie-Grüneisen equations of state,
is developed to predict the interfacial states and compute the phase interface flux.
Several numerical examples, including shock tube problems, cavitation problems, air
blast and underwater explosion applications are presented to validate the numerical
scheme and the Riemann solver.</p>