Modified Ghost Fluid Method with Acceleration Correction (MGFM/AC)

2019 ◽  
Vol 81 (3) ◽  
pp. 1906-1944 ◽  
Author(s):  
Tiegang Liu ◽  
Chengliang Feng ◽  
Liang Xu
2011 ◽  
Vol 3 (5) ◽  
pp. 611-632 ◽  
Author(s):  
Tiegang Liu ◽  
A. W. Chowdhury ◽  
Boo Cheong Khoo

AbstractIn this work, the modified ghost fluid method is developed to deal with 2D compressible fluid interacting with elastic solid in an Euler-Lagrange coupled system. In applying the modified Ghost Fluid Method to treat the fluid-elastic solid coupling, the Navier equations for elastic solid are cast into a system similar to the Euler equations but in Lagrangian coordinates. Furthermore, to take into account the influence of material deformation and nonlinear wave interaction at the interface, an Euler-Lagrange Riemann problem is constructed and solved approximately along the normal direction of the interface to predict the interfacial status and then define the ghost fluid and ghost solid states. Numerical tests are presented to verify the resultant method.


2016 ◽  
Vol 42 ◽  
pp. 1660153
Author(s):  
HAI TIAN LU ◽  
NING ZHAO ◽  
DONGHONG WANG

In this paper, we investigate the conservation error of the two-dimensional compressible two-medium flow simulated by the front tracking method. As the improved versions of the original ghost fluid method, the modified ghost fluid method and the real ghost fluid method are selected to define the interface boundary conditions, respectively, to show different effects on the conservation error. A Riemann problem is constructed along the normal direction of the interface in the front tracking method, with the goal of obtaining an efficient procedure to track the explicit sharp interface precisely. The corresponding Riemann solutions are also used directly in these improved ghost fluid methods. Extensive numerical examples including the sod tube and the shock-bubble interaction are tested to calculate the conservation error. It is found that these two ghost fluid methods have distinctive performances for different initial conditions of the flow field, and the related conclusions are made to suggest the best choice for the combination.


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