Arbitrarily high-order BGK-Shakhov method for the simulation of micro-channel flows

Bond, D. M., Wheatley, V., Macrossan, M. N. and Goldsworthy, M. (2012). Arbitrarily high-order BGK-Shakhov method for the simulation of micro-channel flows. In: P. A Brandner and B. W Pearce, Proceedings of the 18th Australasian Fluid Mechanics Conference. 18th Australasian Fluid Mechanics Conference, Launceston, Australia, (). 3 - 7 December 2012.

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Name Description MIMEType Size Downloads
Author Bond, D. M.
Wheatley, V.
Macrossan, M. N.
Goldsworthy, M.
Title of paper Arbitrarily high-order BGK-Shakhov method for the simulation of micro-channel flows
Conference name 18th Australasian Fluid Mechanics Conference
Conference location Launceston, Australia
Conference dates 3 - 7 December 2012
Proceedings title Proceedings of the 18th Australasian Fluid Mechanics Conference
Place of Publication Hawthorn, VIC, Australia
Publisher Australasian Fluid Mechanics Society
Publication Year 2012
Sub-type Fully published paper
ISBN 9780646583730
Editor P. A Brandner
B. W Pearce
Total pages 4
Collection year 2013
Language eng
Abstract/Summary A new arbitrarily high order method for the solution of the model Boltzmann equation for micro-channel flows in the transitional regime is presented. The Bhattnagar-Gross-Krook approximation of the Boltzmann collision integral is implemented, with Shakhov’s modification, and the resulting system of equations solved by a discrete ordinate method. The method approximates velocity space using a truncated Hermite polynomial expansion of arbitrary order and performs the associated integration by Gauss-Hermite quadrature. This approach conserves mass, momentum and energy during relaxation of the discretised velocity space towards equilibrium. Physical space is discretised by discontinuous Legendre polynomial expansions with both the spatial representation and conservative flux calculation being of arbitrary order. Owing to the high order spatial representation of the discretised velocity space the BGKShakhov relaxation process is carried out in a ‘continuous in space’ manner. New high order boundary conditions of the inviscid slip wall and no-slip wall are implemented. A new fully diffuse reflection boundary condition, built on the high order spatial information available in the method, is also proposed. Results are presented for low speed planar Couette flow and non-linear channel flow.
Q-Index Code E1
Q-Index Status Confirmed Code
Institutional Status UQ

 
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Created: Wed, 30 Jan 2013, 16:27:44 EST by Dr Vincent Wheatley on behalf of School of Mechanical and Mining Engineering