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Title: Numerical Simulation of Microflows with Moment Method
Authors: Zhenning, C
4th Micro and Nano Flows Conference (MNF2014)
Keywords: Micro Flow;Moment Equations;Boundary Condition;Finite Volume Method
Issue Date: 2014
Publisher: Brunel University London
Citation: 4th Micro and Nano Flows Conference, University College London, UK, 7-10 September 2014, Editors CS König, TG Karayiannis and S. Balabani
Series/Report no.: ID 186
Abstract: A series of hyperbolic moment equations is derived for the Boltzmann equation with ES-BGK collision term. These systems can be obtained through a slight modification in the deduction of Grad’s moment equations, and such a method is suitable for deriving systems with moments up to any order. The systems are equipped with proper wall boundary conditions so that the number of equations in the boundary conditions is consistent with the hyperbolic structure of the moment system. Our numerical scheme for solving the hyperbolic moment systems is of second order, and a special mapping method is introduced so that the numerical efficiency is highly enhanced. Our numerical results are validated by comparison with the DSMC results. Through the numerical solutions of systems with increasing number of moments, the convergence of the moment method is clearly observed.
Description: This paper was presented at the 4th Micro and Nano Flows Conference (MNF2014), which was held at University College, London, UK. The conference was organised by Brunel University and supported by the Italian Union of Thermofluiddynamics, IPEM, the Process Intensification Network, the Institution of Mechanical Engineers, the Heat Transfer Society, HEXAG - the Heat Exchange Action Group, and the Energy Institute, ASME Press, LCN London Centre for Nanotechnology, UCL University College London, UCL Engineering, the International NanoScience Community,
ISBN: 978-1-908549-16-7
Appears in Collections:Brunel Institute for Bioengineering (BIB)
The Brunel Collection

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