×

zbMATH — the first resource for mathematics

A hybrid immersed-boundary and multi-block lattice Boltzmann method for simulating fluid and moving-boundaries interactions. (English) Zbl 1110.76042
Summary: A numerical method is developed for modelling the interactions between incompressible viscous fluid and moving boundaries. The principle of this method is introducing the immersed-boundary concept in the framework of lattice Boltzmann method, and improving the accuracy and efficiency of the simulation by refining the mesh near moving boundaries. Besides elastic boundary with a constitutive law, the method can also efficiently simulate solid moving-boundary interacting with fluid by employing the direct forcing technique. The method is validated by the simulations of flow past a circular cylinder, two cylinders moving with respect to each other, and flow around a hovering wing. The versatility of the method is demonstrated by numerical studies including elastic filament flapping in the wake of a cylinder and fish-like bodies swimming in quiescent fluid.

MSC:
76M28 Particle methods and lattice-gas methods
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
PDF BibTeX Cite
Full Text: DOI
References:
[1] Hirt, Journal of Computational Physics 14 pp 227– (1974)
[2] Liu, Journal of Computational Physics 155 pp 223– (1999)
[3] Ramamurti, Journal of Experimental Biology 205 pp 1507– (2002)
[4] Peskin, Journal of Computational Physics 25 pp 220– (1977)
[5] Peskin, Acta Numerica 11 pp 479– (2002)
[6] Goldstein, Journal of Computational Physics 105 pp 354– (1993)
[7] Saiki, Journal of Computational Physics 123 pp 450– (1996)
[8] Combined immersed-boundary/B-spline methods for simulations of flow in complex geometries. Annual Research Briefs, Center for Turbulence Research, NASA Ames and Stanford University, 1997; 317–327.
[9] Fadlun, Journal of Computational Physics 161 pp 35– (2000)
[10] Chen, Annual Review of Fluid Mechanics 30 pp 329– (1998)
[11] Yu, Progress in Aerospace Sciences 39 pp 329– (2003)
[12] Ladd, Journal of Fluid Mechanics 271 pp 285– (1994)
[13] Ladd, Journal of Fluid Mechanics 271 pp 311– (1994)
[14] Feng, Journal of Computational Physics 195 pp 602– (2004)
[15] Feng, Journal of Computational Physics 202 pp 20– (2005)
[16] Filippova, Journal of Computational Physics 147 pp 219– (1998)
[17] Yu, International Journal for Numerical Methods in Fluids 39 pp 99– (2002)
[18] Bhatnagar, Physical Review 94 pp 511– (1954)
[19] Guo, Physical Review E 65 pp 1– (2002)
[20] Lai, Journal of Computational Physics 160 pp 705– (2000)
[21] Russell, Journal of Computational Physics 191 pp 177– (2003)
[22] Xu, Journal of Computational Physics 216 pp 454– (2006)
[23] Guo, Chinese Physics 11 pp 366– (2002)
[24] Wang, Physical Review Letters 85 pp 2216– (2000)
[25] Shi, Journal of Computational Physics 206 pp 81– (2005)
[26] Zhang, Nature 408 pp 835– (2000)
[27] Gilmanov, Journal of Computational Physics 207 pp 457– (2005)
[28] Dong, International Journal for Numerical Methods in Fluids 48 pp 1351– (2005)
[29] Chew, International Journal of Modern Physics C 13 pp 719– (2002)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.