Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 67, Issue 11, Pages 2029-2040Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2014.05.004
Keywords
Finite element technique; Rarefied flow; Second order slip/jump boundary conditions; Petrov-Galerkin method; Non-equilibrium flow; Micro/nanoflows
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Funding
- Iranian Elite Foundation for developing HPC laboratory [100720]
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In the current work, for the first time, we extend the application of a second order slip/jump equations introduced by Karniadakis et al. for the simulation of high speed, high Knudsen (Kn) number flows over a nano-scale flat plate and a micro-scale cylinder. The NS equations subject to a second order slip/jump boundary conditions are solved using the Petrov-Galerkin Finite Element discretization. We compare our numerical solution for flow and thermal field with the solution of the DSMC and Generalized Hydrodynamic (GH) techniques, as well as a recently developed slip/jump boundary condition, i.e., Paterson equation. Current results demonstrate the suitable accuracy of the employed boundary conditions for different set of test cases. Our numerical solutions are obtained with much less numerical costs compared to alternative boundary conditions. (C) 2014 Elsevier Ltd. All rights reserved.
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