An adaptive moving mesh method for two-dimensional relativistic magnetohydrodynamics

2012 ◽  
Vol 60 ◽  
pp. 1-20 ◽  
Author(s):  
Peng He ◽  
Huazhong Tang
Keyword(s):  
Moving Mesh ◽  
Two Dimensional ◽  
Moving Mesh Method ◽  
Mesh Method ◽  
Adaptive Moving Mesh Method ◽  
Relativistic Magnetohydrodynamics

An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics

2012 ◽  
Vol 11 (1) ◽  
pp. 114-146 ◽  
Author(s):  
Peng He ◽  
Huazhong Tang
Keyword(s):  
Iterative Procedure ◽  
Moving Mesh ◽  
Finite Volume Scheme ◽  
Relativistic Hydrodynamics ◽  
Two Dimensional ◽  
Moving Mesh Method ◽  
Governing Equations ◽  
Nonuniform Meshes ◽  
Mesh Method ◽  
Adaptive Moving Mesh Method

AbstractThis paper extends the adaptive moving mesh method developed by Tang and Tang [36] to two-dimensional (2D) relativistic hydrodynamic (RHD) equations. The algorithm consists of two “independent” parts: the time evolution of the RHD equations and the (static) mesh iteration redistribution. In the first part, the RHD equations are discretized by using a high resolution finite volume scheme on the fixed but nonuniform meshes without the full characteristic decomposition of the governing equations. The second part is an iterative procedure. In each iteration, the mesh points are first redistributed, and then the cell averages of the conservative variables are remapped onto the new mesh in a conservative way. Several numerical examples are given to demonstrate the accuracy and effectiveness of the proposed method.

An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics

2007 ◽  
Vol 220 (2) ◽  
pp. 791-812 ◽  
Author(s):  
Jianqiang Han ◽  
Huazhong Tang
Keyword(s):  
Moving Mesh ◽  
Two Dimensional ◽  
Moving Mesh Method ◽  
Mesh Method ◽  
Adaptive Moving Mesh Method ◽  
Ideal Magnetohydrodynamics

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

scholarly journals A self-adaptive moving mesh method for the Camassa–Holm equation

2010 ◽  
Vol 235 (1) ◽  
pp. 229-243 ◽  
Author(s):  
Bao-Feng Feng ◽  
Ken-ichi Maruno ◽  
Yasuhiro Ohta
Keyword(s):  
Moving Mesh ◽  
Moving Mesh Method ◽  
Holm Equation ◽  
Mesh Method ◽  
Adaptive Moving Mesh Method ◽  
Self Adaptive
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