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Introducing a variable speed of sound in single-component lattice Boltzmann simulations of isothermal fluid flows

Looije, N; Gillissen, JJJ; Sundaresan, S; Van den Akker, HEA; (2018) Introducing a variable speed of sound in single-component lattice Boltzmann simulations of isothermal fluid flows. Computers and Fluids , 167 pp. 129-145. 10.1016/j.compfluid.2018.02.037. Green open access

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Abstract

To simulate the hydrodynamics and mixing characteristics of chemical reactors by means of a lattice Boltzmann method (LBM), it is essential to consider components with varying molecular weights (and therefore speeds of sound). This option requires modification of the standard equilibrium distribution function and the use of an extended velocity set. In this paper, we show that, for isothermal incompressible single-component non-reactive flows, tuning the speed of sound with a modified equilibrium distribution and an extended velocity set allows for reproducing the proper flow characteristics with strongly reduced errors (compared to LBM simulations on standard lattices). This is done for two isothermal benchmarks, viz. a damped standing pressure wave and a decaying viscous Taylor–Green Vortex. The convergence as a function of the number of lattice nodes used improves substantially for varying values of the speed of sound.

Type: Article
Title: Introducing a variable speed of sound in single-component lattice Boltzmann simulations of isothermal fluid flows
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.compfluid.2018.02.037
Publisher version: https://doi.org/10.1016/j.compfluid.2018.02.037
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Lattice Boltzmann methods,Incompressible,Extended velocity set, Tunable speed of sound, Damped pressure wave, Taylor–Green Vortex
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/10055787
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