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

Looije, N.; Gillissen, J.J.J.; Sundaresan, S.; Van den Akker, H.E.A.

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

Journal article (2018)

Authors

N. Looije ChemE/Transport Phenomena -

J.J.J. Gillissen University College London

S. Sundaresan Princeton University

H.E.A. Van den Akker ChemE/Transport Phenomena - , University of Limerick

Research Group

ChemE/Transport Phenomena () (TU Delft)

Https://repository.tudelft.nl/Thing_3cd68489-8e40-4823-8945-81f3cc7017ac Damped pressure wave Extended velocity set Incompressible Lattice Boltzmann methods Taylor–Green Vortex Tunable speed of sound

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Published Date

2018

Language

English

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Faculty

Applied Sciences

Department

ChemE/Chemical Engineering

Research Group

ChemE/Transport Phenomena

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.

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