Journal of Nanoscience and Nanoengineering
Articles Information
Journal of Nanoscience and Nanoengineering, Vol.1, No.1, Jun. 2015, Pub. Date: May 18, 2015
Numerical Simulation of Two-Phase Flow in Micro- and Nano- Devices Using Level Set Method
Pages: 1-8 Views: 1229 Downloads: 601
Authors
[01] Ashraf Balabel, Mechanical Engineering Dept., Faculty of Engineering, Taif University, Al-Haweiah, Taif, Saudi Arabia.
Abstract
The aim of this work is to provide a high accuracy computational technique for tracking moving interfaces, which can be found in a wide range of micro- and nano-mechatronic devices, using the level set method. The solution of the time-dependent partial differential equation of the level set is performed by replacing the spatial derivatives with central difference and with a second order Runge-Kutta scheme for the temporal advance. The fulfilment of the Eikonal equation is performed through a modified reinitialization process. By adjusting the values of constants used in the reinitialization process for the considered cases, one should not have to evolve more than a few iterations to achieve the steady state solution. That is found to have a large effect on the error in mass conservation that is associated with level set methods. The total calculation time is reduced, as the reinitialization process becomes a non-iterative one. This computational technique does not require an entropy-satisfying approximation to the gradient terms and it can easily be combined with the Fast Extension Velocity Method. Some numerical test cases have been performed and good results have been obtained.
Keywords
Level Set Method, Micro/Nano-Devices, Numerical Simulation, Two-Phase Flow
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