scholarly journals An adaptive moving mesh method for thin film flow equations with surface tension

2017 ◽  
Vol 319 ◽  
pp. 365-384 ◽  
Author(s):  
Abdulghani Alharbi ◽  
Shailesh Naire
Keyword(s):  
Thin Film ◽  
Surface Tension ◽  
Film Flow ◽  
Moving Mesh ◽  
Moving Mesh Method ◽  
Thin Film Flow ◽  
Flow Equations ◽  
Mesh Method ◽  
Adaptive Moving Mesh Method

Numerical Solution of a Rimming Flow Problem Using a Moving Mesh Method

2003 ◽  
Vol 3 (3) ◽  
pp. 373-386
Author(s):  
Alan F. Hegarty ◽  
Stephen B. G. O'Brien ◽  
Stephen Sikwila
Keyword(s):  
Thin Film ◽  
Surface Tension ◽  
Flow Problem ◽  
Constant Angular Velocity ◽  
Moving Mesh ◽  
Lubrication Approximation ◽  
Moving Mesh Method ◽  
First Order ◽  
Rimming Flow ◽  
Mesh Method

AbstractWe consider the evolution of a thin film of viscous fluid on the inside surface of a cylinder with the horizontal axis, rotating with a constant angular velocity about this axis. We use a lubrication approximation extended to the first order in the dimensionless film thickness (including the small effects of the variation of the film pressure across its thickness and the surface tension) and numerically we compute the time evolution of the film to a steady state.

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.

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