Choice of no-slip curved boundary condition for lattice Boltzmann simulations of high-Reynolds-number flows

Choice of no-slip curved boundary condition for lattice Boltzmann simulations of high-Reynolds-number flows

Pacha Sanjeevi, S.K. (TU Delft Intensified Reaction and Separation Systems)
Zarghami, A. (TU Delft Intensified Reaction and Separation Systems)
Padding, J.T. (TU Delft Intensified Reaction and Separation Systems)

2018

Various curved no-slip boundary conditions available in literature improve the accuracy of lattice Boltzmann simulations compared to the traditional staircase approximation of curved geometries. Usually, the required unknown distribution functions emerging from the solid nodes are computed based on the known distribution functions using interpolation or extrapolation schemes. On using such curved boundary schemes, there will be mass loss or gain at each time step during the simulations, especially apparent at high Reynolds numbers, which is called mass leakage. Such an issue becomes severe in periodic flows, where the mass leakage accumulation would affect the computed flow fields over time. In this paper, we examine mass leakage of the most well-known curved boundary treatments for high-Reynolds-number flows. Apart from the existing schemes, we also test different forced mass conservation schemes and a constant density scheme. The capability of each scheme is investigated and, finally, recommendations for choosing a proper boundary condition scheme are given for stable and accurate simulations.

http://resolver.tudelft.nl/uuid:845fcd26-269d-4e69-9e03-e7cdab733dc0

https://doi.org/10.1103/PhysRevE.97.043305

2470-0045

Physical Review E, 97 (4)

Institutional Repository

journal article

© 2018 S.K. Pacha Sanjeevi, A. Zarghami, J.T. Padding