On a Moving Mesh Method Applied to the Shallow Water Equations

2010 ◽  
Author(s):  
J. Felcman ◽  
L. Kadrnka ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Moving Mesh ◽  
Moving Mesh Method ◽  
Mesh Method

A simple moving mesh method for blowup problems

2014 ◽  
Vol 69 (2) ◽  
pp. 343-356
Author(s):  
Shaohua Chen ◽  
Lauren DeDieu
Keyword(s):  
Moving Mesh ◽  
Moving Mesh Method ◽  
Mesh Method

A Moving Mesh Method for Simulation of Transient Keyhole Evolution in Deep Penetration Laser Welding

2012 ◽  
Vol 9 (9) ◽  
pp. 1491-1494
Author(s):  
Yajun Yin ◽  
Jianxin Zhou ◽  
Shengyong Pang ◽  
Yangchun Peng ◽  
Dunming Liao ◽  
...  
Keyword(s):  
Laser Welding ◽  
Moving Mesh ◽  
Deep Penetration ◽  
Moving Mesh Method ◽  
Mesh Method

A Moving Mesh Method for Kinetic/Hydrodynamic Coupling

2012 ◽  
Vol 4 (06) ◽  
pp. 685-702 ◽  
Author(s):  
Zhicheng Hu ◽  
Heyu Wang
Keyword(s):  
Coupling Model ◽  
Two Dimensions ◽  
Smooth Transition ◽  
Moving Mesh ◽  
Moving Mesh Method ◽  
Rapid Variation ◽  
Mesh Motion ◽  
Monitor Function ◽  
Hydrodynamic Coupling ◽  
Mesh Method

AbstractThis paper deals with the application of a moving mesh method for kinetic/hydrodynamic coupling model in two dimensions. With some criteria, the domain is dynamically decomposed into three parts: kinetic regions where fluids are far from equilibrium, hydrodynamic regions where fluids are near thermody-namical equilibrium and buffer regions which are used as a smooth transition. The Boltzmann-BGK equation is solved in kinetic regions, while Euler equations in hydrodynamic regions and both equations in buffer regions. By a well defined monitor function, our moving mesh method smoothly concentrate the mesh grids to the regions containing rapid variation of the solutions. In each moving mesh step, the solutions are conservatively updated to the new mesh and the cut-off function is rebuilt first to consist with the region decomposition after the mesh motion. In such a framework, the evolution of the hybrid model and the moving mesh procedure can be implemented independently, therefore keep the advantages of both approaches. Numerical examples are presented to demonstrate the efficiency of the method.

Dynamic crack growth based on moving mesh method

2019 ◽  
Vol 174 ◽  
pp. 107053 ◽  
Author(s):  
Francesco Fabbrocino ◽  
Marco Francesco Funari ◽  
Fabrizio Greco ◽  
Paolo Lonetti ◽  
Raimondo Luciano ◽  
...  
Keyword(s):  
Crack Growth ◽  
Moving Mesh ◽  
Dynamic Crack ◽  
Moving Mesh Method ◽  
Dynamic Crack Growth ◽  
Mesh Method

scholarly journals An Adaptive Moving Mesh Method for Forced Curve Shortening Flow

2019 ◽  
Vol 41 (2) ◽  
pp. A1170-A1200 ◽  
Author(s):  
J. A. Mackenzie ◽  
M. Nolan ◽  
C. F. Rowlatt ◽  
R. H. Insall
Keyword(s):  
Moving Mesh ◽  
Moving Mesh Method ◽  
Curve Shortening Flow ◽  
Mesh Method ◽  
Adaptive Moving Mesh Method ◽  
Curve Shortening
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