Bernhard Manhartsgruber
Institute of Machine Design and Hydraulic Drives, Johannes Kepler University, Linz, Austria
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http://dx.doi.org/10.3384/ecp17144295Ingår i: Proceedings of 15:th Scandinavian International Conference on Fluid Power, June 7-9, 2017, Linköping, Sweden
Linköping Electronic Conference Proceedings 144:29, s. 295-300
Publicerad: 2017-12-20
ISBN: 978-91-7685-369-6
ISSN: 1650-3686 (tryckt), 1650-3740 (online)
The Lattice-Boltzmann Method for the approximate solution of the Navier-Stokes equations has become an interesting alternative to classical finite volume based discretization methods. Because the flow domain is not meshed in the classical sense but only voxelized and geometrically complex boundaries can be introduced in an easy form by bounce-back or off-Lattice boundary conditions, the method lends itself very well to simulations of channel flows inside hydraulic components. In this paper, a flow problem in a single acting cylinder attached to a 3/2 directional spool valve is used as a benchmark problem. The Lattice-Boltzmann simulation is used to generate a reference solution for the pressure step response of the blocked cylinder with superimposed wave propagation. From this reference data set, a non-parametric frequency domain input-output model is extracted and compared with results from classical lumped parameter modeling.
[1] J Hardy, Y Pomeau, and O de Pazzis. Time Evolution of a Two-Dimensional Classical Lattice System. Phys. Rev. Lett., 31(5):276-279, 1973
[2] J Hardy, O de Pazzis, and Y Pomeau. Molecular dynamics of a classical lattice gas: Transport properties and time correlation functions, Phys. Rev. A, 13(5):1949-1961, 1986
[3] U Frisch, B Hasslacher, and Y Pomeau. Lattice-Gas Automata for the Navier-Stokes Equation. Phys. Rev. Lett., 56(14):1505-1508, 1986
[4] G R McNamara, G Zanetti. Use of the Boltzmann equation to simulate lattice-gas automata. Phys. Rev. Lett., 61:2332-2335, 1986
[5] H E Merritt. Hydraulic Control Systems. John Wileys and Sons, Cincinnati, Ohio, 1967. ISBN 0-471-59617-5.
[6] B Chopard, D Lagrava, J Latt, and O Malaspinas, A Lattice Boltzmann modeling of blood flow in cerebral aneurysms European Congress on computational methods in applied sciences and engineering (ECCOMAS), Lisbon" 2010
[7] FlowKit Sarl, Avenue de Chailly 23, 1012 Lausanne, Switzerland, PALABOS Software, Version 1.5r1, http://www.palabos.org/images/palabos_releases/palabos-v1.5r1.tgz [accessed April 15th, 2017]
