Lattice Boltzmann simulations of decaying homogeneous isotropic turbulence

2005 ◽  
Vol 71 (1) ◽  
Author(s):  
Huidan Yu ◽  
Sharath S. Girimaji ◽  
Li-Shi Luo
Keyword(s):  
Lattice Boltzmann ◽  
Isotropic Turbulence ◽  
Homogeneous Isotropic Turbulence ◽  
Lattice Boltzmann Simulations

scholarly journals Lattice Boltzmann simulations of homogeneous isotropic turbulence

2009 ◽  
Vol 58 (5) ◽  
pp. 1055-1061 ◽  
Author(s):  
Waleed Abdel Kareem ◽  
Seiichiro Izawa ◽  
Ao-Kui Xiong ◽  
Yu Fukunishi
Keyword(s):  
Lattice Boltzmann ◽  
Isotropic Turbulence ◽  
Homogeneous Isotropic Turbulence ◽  
Lattice Boltzmann Simulations

Direct numerical simulation of decaying homogeneous isotropic turbulence — numerical experiments on stability, consistency and accuracy of distinct lattice Boltzmann methods

2019 ◽  
Vol 30 (09) ◽  
pp. 1950074 ◽  
Author(s):  
Marc Haussmann ◽  
Stephan Simonis ◽  
Hermann Nirschl ◽  
Mathias J. Krause
Keyword(s):  
Relaxation Time ◽  
Mach Number ◽  
Lattice Boltzmann ◽  
Numerical Experiments ◽  
Isotropic Turbulence ◽  
Reynolds Numbers ◽  
Homogeneous Isotropic Turbulence ◽  
Energy Contribution ◽  
Stability And Accuracy ◽  
The Impact

Stability, consistency and accuracy of various lattice Boltzmann schemes are investigated by means of numerical experiments on decaying homogeneous isotropic turbulence (DHIT). Therefore, the Bhatnagar–Gross–Krook (BGK), the entropic lattice Boltzmann (ELB), the two-relaxation-time (TRT), the regularized lattice Boltzann (RLB) and the multiple-relaxation-time (MRT) collision schemes are applied to the three-dimensional Taylor–Green vortex, which represents a benchmark case for DHIT. The obtained turbulent kinetic energy, the energy dissipation rate and the energy spectrum are compared to reference data. Acoustic and diffusive scaling is taken into account to determine the impact of the lattice Mach number. Furthermore, three different Reynolds numbers [Formula: see text], [Formula: see text] and [Formula: see text] are considered. BGK shows instabilities, when the mesh is highly underresolved. The diverging simulations for MRT are ascribed to a strong lattice Mach number dependency. Despite the fact that the ELB modifies the bulk viscosity, it does not mimic a turbulence model. Therefore, no significant increase of stability in comparison to BGK is observed. The TRT “magic parameter” for DHIT at moderate Reynolds numbers is estimated with respect to the energy contribution. Stability and accuracy of the TRT scheme is found to be similar to BGK. For small lattice Mach numbers, the RLB scheme exhibits lowered energy contribution in the dissipation range compared to an analytical model spectrum. Overall, to enhance stability and accuracy, the lattice Mach number should be chosen with respect to the applied collision scheme.

Modeling Elastic Walls in Lattice Boltzmann Simulations of Arterial Blood Flow

2013 ◽  
Vol 23 (2) ◽  
Author(s):  
Xenia Descovich ◽  
Giuseppe Pontrelli ◽  
Sauro Succi ◽  
Simone Melchionna ◽  
Manfred Bammer
Keyword(s):  
Blood Flow ◽  
Lattice Boltzmann ◽  
Arterial Blood Flow ◽  
Arterial Blood ◽  
Lattice Boltzmann Simulations ◽  
Elastic Walls
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