A curved no-slip boundary condition for the lattice Boltzmann method
| Autor: | Joris C. G. Verschaeve, Bernhard Müller |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Applied Mathematics Lattice Boltzmann methods Boundary (topology) Geometry Laminar flow Computer Science Applications Physics::Fluid Dynamics Computational Mathematics Flow (mathematics) Modeling and Simulation No-slip condition Boundary value problem Couette flow Mathematics Interpolation |
| Zdroj: | Journal of Computational Physics. 229:6781-6803 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/j.jcp.2010.05.022 |
| Popis: | We present a generalization of the no-slip boundary condition by Latt et al. [J. Latt, B. Chopard, O. Malaspinas, M. Deville, A. Michler, Straight velocity boundaries in the lattice Boltzmann method, Physical Review E 77 (5) (2008) 056703] from straight to curved geometries for the lattice Boltzmann Bhatnager-Gross-Krook method (LBGK). The boundary condition is based on a reconstruction of the populations from the density, velocity and rate of strain. For curved boundaries, the reconstruction reduces the question of accuracy to a technical issue of interpolation. We present a method of interpolation allowing a very accurate representation of the curved boundary. The resulting boundary condition is verified for three different test cases: Taylor-Couette flow in-between rotating cylinders, laminar flow around a cylinder and flow past an impulsively started cylinder, demonstrating its second order accuracy and low error constant. The present boundary is stable for relaxation frequencies close to two. |
| Databáze: | OpenAIRE |
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