Journal article

Origin of spurious oscillations in lattice Boltzmann simulations of oscillatory noncontinuum gas flows

Yong Shi, Daniel R Ladiges, John E Sader

PHYSICAL REVIEW E | AMER PHYSICAL SOC | Published : 2019

Abstract

Oscillatory noncontinuum gas flows at the micro and nanoscales are characterized by two dimensionless groups: a dimensionless molecular length scale, the Knudsen number Kn, and a dimensionless frequency θ, relating the oscillatory frequency to the molecular collision frequency. In a recent study [Shi et al., Phys. Rev. E 89, 033305 (2014)10.1103/PhysRevE.89.033305], the accuracy of the lattice Boltzmann (LB) method for simulating these flows at moderate-to-large Kn and θ was examined. In these cases, the LB method exhibits spurious numerical oscillations that cannot be removed through the use of discrete particle velocities drawn from higher-order Gauss-Hermite quadrature. Here, we identify ..

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University of Melbourne Researchers

Grants

Awarded by Zhejiang Provincial Natural Science Foundation of China


Awarded by Ningbo Science and Technology Bureau Technology Innovation Team


Awarded by Australian Research Council Centre of Excellence in Exciton Science


Awarded by US Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, Applied Mathematics Program


Funding Acknowledgements

Y.S. acknowledges support from Zhejiang Provincial Natural Science Foundation of China (Grant No. LY16E060001), and Ningbo Science and Technology Bureau Technology Innovation Team (Grant No. 2016B10010). D.R.L. and J.E.S. acknowledge support from the Australian Research Council Grants scheme, and the Australian Research Council Centre of Excellence in Exciton Science (CE170100026). D.R.L. also acknowledges support from the US Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, Applied Mathematics Program under Contract No. DE-AC02-05CH11231.