scholarly journals Exact and numerical solutions for the GBBM equation using an adaptive moving mesh method

2021 ◽  
Vol 60 (5) ◽  
pp. 4441-4450
Author(s):  
M.B. Almatrafi ◽  
Abdulghani Alharbi ◽  
Kh. Lotfy ◽  
A.A. El-Bary
Keyword(s):  
Numerical Solutions ◽  
Moving Mesh ◽  
Moving Mesh Method ◽  
Mesh Method ◽  
Adaptive Moving 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

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.

Spectral implementation of an adaptive moving mesh method for phase-field equations

2006 ◽  
Vol 220 (1) ◽  
pp. 498-510 ◽  
Author(s):  
W.M. Feng ◽  
P. Yu ◽  
S.Y. Hu ◽  
Z.K. Liu ◽  
Q. Du ◽  
...  
Keyword(s):  
Phase Field ◽  
Moving Mesh ◽  
Moving Mesh Method ◽  
Field Equations ◽  
Mesh Method ◽  
Phase Field Equations ◽  
Adaptive Moving Mesh Method
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