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- Title
Development of a Fourier‐expansion based differential quadrature method with lattice Boltzmann flux solvers: Application to incompressible isothermal and thermal flows.
- Authors
Liu, Yaguang; Shu, Chang; Yu, Peng; Liu, Yangyang; Zhang, Hua; Lu, Chun
- Abstract
This paper presents a high‐order Fourier‐expansion based differential quadrature method with isothermal and thermal lattice Boltzmann flux solvers (LBFS‐FDQ and TLBFS‐FDQ) for simulating incompressible flows. The numerical solution in the present method is approximated via trigonometric basis. Therefore, both periodic and non‐periodic boundary conditions can be handled straightforwardly without the special treatments as required by polynomial‐based differential quadrature methods. The incorporation of LBFS/TLBFS enables the present methods to efficiently simulated various types of flow problems on considerably coarse grids with spectral accuracy. The high‐order accuracy, efficiency and competitiveness of the proposed method are comprehensively demonstrated through a wide selection of isothermal and thermal flow benchmarks.
- Subjects
DIFFERENTIAL quadrature method; ISOTHERMAL flows; LATTICE Boltzmann methods; INCOMPRESSIBLE flow
- Publication
International Journal for Numerical Methods in Fluids, 2024, Vol 96, Issue 5, p738
- ISSN
0271-2091
- Publication type
Article
- DOI
10.1002/fld.5262