On improvements of simplified and highly stable lattice Boltzmann method: Formulations, boundary treatment, and stability analysis

International Journal for Numerical Methods in Fluids - Tập 87 Số 4 - Trang 161-179 - 2018
Zhen Chen1, C. Shu1, Danielle Tan1, Chen Wu2
1Department of Mechanical Engineering, National University of Singapore, Singapore
2State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, China

Tóm tắt

SummaryIn this paper, we present a detailed report on a revised form of simplified and highly stable lattice Boltzmann method (SHSLBM) and its boundary treatment as well as stability analysis. The SHSLBM is a recently developed scheme within lattice Boltzmann framework, which utilizes lattice properties and relationships given by Chapman‐Enskog expansion analysis to reconstruct solutions of macroscopic governing equations recovered from lattice Boltzmann equation and resolved in a predictor‐corrector scheme. Formulations of original SHSLBM are slightly adjusted in the present work to facilitate implementation on body‐fitted mesh. The boundary treatment proposed in this paper offers an analytical approach to interpret no‐slip boundary condition, and the stability analysis in this paper fixes flaws in previous works and reveals a very nice stability characteristic in high Reynolds number scenarios. Several benchmark tests are conducted for comprehensive evaluation of the boundary treatment and numerical validation of stability analysis. It turns out that by adopting the modifications suggested in this work, lower numerical error can be expected.

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Thông tin xuất bản

International Journal for Numerical Methods in Fluids

Tập 87 Số 4

161-179

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