A hybrid WENO method with modified ghost fluid method for compressible two-medium flow problems

by   Zhuang Zhao, et al.

In this paper, we develop a simplified hybrid weighted essentially non-oscillatory (WENO) method combined with the modified ghost fluid method (MGFM) [28] to simulate the compressible two-medium flow problems. The MGFM can turn the two-medium flow problems into two single-medium cases by defining the ghost fluids status in terms of the predicted the interface status, which makes the material interface "invisible". For the single medium flow case, we adapt between the linear upwind scheme and the WENO scheme automatically by identifying the regions of the extreme points for the reconstruction polynomial as same as the hybrid WENO scheme [50]. Instead of calculating their exact locations, we only need to know the regions of the extreme points based on the zero point existence theorem, which is simpler for implementation and saves computation time. Meanwhile, it still keeps the robustness and has high efficiency. Extensive numerical results for both one and two dimensional two-medium flow problems are performed to demonstrate the good performances of the proposed method.



There are no comments yet.


page 16

page 20


Analysis of the Stokes-Darcy problem with generalised interface conditions

Fluid flows in coupled systems consisting of a free-flow region and the ...

A hybrid-mixed finite element method for single-phase Darcy flow in fractured porous media

We present a hybrid-mixed finite element method for a novel hybrid-dim...

Analysis of the diffuse interface method for the Stokes-Darcy coupled problem

We consider the interaction between a free flowing fluid and a porous me...

Towards Hybrid Two-Phase Modelling Using Linear Domain Decomposition

The viscous flow of two immiscible fluids in a porous medium on the Darc...

Network-inspired versus Kozeny-Carman based permeability-porosity relations applied to Biot's poroelasticity model

Water injection in the aquifer induces deformations in the soil. These m...

Combining the hybrid mimetic mixed method with the Scharfetter-Gummel scheme for magnetised transport in plasmas

In this paper, we propose a numerical scheme for fluid models of magneti...

Projection-based resolved interface mixed-dimension method for embedded tubular network systems

We present a flexible discretization technique for computational models ...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.