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.

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

scholarly journals Steady rimming flows with surface tension

2008 ◽  
Vol 597 ◽  
pp. 91-118 ◽  
Author(s):  
E. S. BENILOV ◽  
M. S. BENILOV ◽  
N. KOPTEVA
Keyword(s):  
Thin Film ◽  
Surface Tension ◽  
Viscous Fluid ◽  
Small Parameter ◽  
Outer Region ◽  
Lubrication Approximation ◽  
Steady Flows ◽  
Matched Asymptotics ◽  
Weak Surface ◽  
Rimming Flows

We examine steady flows of a thin film of viscous fluid on the inside of a cylinder with horizontal axis, rotating about this axis. If the amount of fluid in the cylinder is sufficiently small, all of it is entrained by rotation and the film is distributed more or less evenly. For medium amounts, the fluid accumulates on the ‘rising’ side of the cylinder and, for large ones, pools at the cylinder's bottom. The paper examines rimming flows with a pool affected by weak surface tension. Using the lubrication approximation and the method of matched asymptotics, we find a solution describing the pool, the ‘outer’ region, and two transitional regions, one of which includes a variable (depending on the small parameter) number of asymptotic zones.

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
Sign in / Sign up

Export Citation Format

Share Document