scholarly journals Direct Simulation of Aeolian Tones by the Finite Volume Lattice Boltzmann Method on Unstructured Grids

2006 ◽  
Vol 72 (724) ◽  
pp. 3007-3014
Author(s):  
Kazumasa MOCHIZUKI ◽  
Takamasa KONDO ◽  
Michihisa TSUTAHARA
Keyword(s):  
Lattice Boltzmann Method ◽  
Finite Volume ◽  
Lattice Boltzmann ◽  
Unstructured Grids ◽  
Direct Simulation ◽  
Boltzmann Method

Numerical Simulation of Heat Conduction Problems With the Lattice Boltzmann Method (LBM) and Discrete Boltzmann Method (DBM): A Comparative Study

2020 ◽  
Author(s):  
Leitao Chen ◽  
Timothy Petrosius ◽  
Laura Schaefer
Keyword(s):  
Heat Conduction ◽  
Lattice Boltzmann Method ◽  
Finite Volume ◽  
Lattice Boltzmann ◽  
Fluid Transport ◽  
Unstructured Grids ◽  
Transport Model ◽  
Direct Result ◽  
Curved Boundaries ◽  
Boltzmann Method

Abstract Unlike Fourier’s law, which is built upon the continuum assumption and constitutive equation of energy conservation, kinetic models study the transport phenomena from a more fundamental level and in a more generalized way. The Boltzmann equation (BE), which is one type of kinetic model, is a generalized transport model that can solve any advection-diffusion problem regardless of whether such a problem is advection-dominated or diffusion-dominated. Although the BE has been successfully applied to model fluid transport, which is an advection-dominated process, in this paper, in order to demonstrate the generality of the BE, heat conduction, which is a diffusion-only process, is simulated by two numerical derivatives of the BE: the lattice Boltzmann method (LBM) and the discrete Boltzmann method (DBM). The DBM model presented in this paper is unique in the way that the BE is solved on complete unstructured grids with the finite volume method. Therefore, it is named the finite volume discrete Boltzmann method (FVDBM). Two two-dimensional heat conduction problems with different domain geometries and boundary conditions are simulated by both the LBM and FVDBM and quantitatively compared. From that comparison, it is found that the FVDBM produces a higher level of accuracy than the LBM for problems with curved boundaries, while maintaining the same accuracy as the LBM for problems with straight boundaries. The advantage displayed by the FVDBM approach is the direct result of a more accurate reconstruction of curved boundaries by the utilization of unstructured grids, versus the Cartesian grids necessary for the LBM.

206 Direct Simulation of Acoustic Waves by Finite Volume Lattice Boltzmann Method

2005 ◽  
Vol 2005.2 (0) ◽  
pp. 97-98
Author(s):  
Takamasa KONDO ◽  
Michihisa TSUTAHARA ◽  
Kazumasa MOCHIZUKI
Keyword(s):  
Lattice Boltzmann Method ◽  
Finite Volume ◽  
Lattice Boltzmann ◽  
Acoustic Waves ◽  
Direct Simulation ◽  
Boltzmann Method

A novel median dual finite volume lattice Boltzmann method for incompressible flows on unstructured grids

2020 ◽  
Vol 31 (12) ◽  
pp. 2050173
Author(s):  
Lei Xu ◽  
Wu Zhang ◽  
Zhengzheng Yan ◽  
Zheng Du ◽  
Rongliang Chen
Keyword(s):  
Lattice Boltzmann Method ◽  
Finite Volume ◽  
Lattice Boltzmann ◽  
Incompressible Flows ◽  
Unstructured Grids ◽  
Piecewise Linear ◽  
Distribution Functions ◽  
Order Scheme ◽  
Control Volumes ◽  
Boltzmann Method

A novel median dual finite volume lattice Boltzmann method (FV-LBM) for the accurate simulation of incompressible flows on unstructured grids is presented in this paper. The finite volume method is adopted to discretize the discrete velocity Boltzmann equation (DVBE) on median dual control volumes (CVs). In the previous studies on median dual FV-LBMs, the fluxes for each partial face have to be computed separately. In the present second-order scheme, we assume the particle distribution functions (PDFs) to be constant for all faces grouped around a particular edge. The fluxes are then evaluated using the low-diffusion Roe scheme at the midpoint of the edge, and the PDFs at the faces of the CV are obtained through piecewise linear reconstruction of the left and right states. The gradients of the PDFs are computed with the Green–Gauss approach. The presented scheme is validated on four benchmark flows: (a) pressure driven Poiseuille flow; (b) the backward-facing step flow with [Formula: see text], 100, 200 and 300; (c) the lid-driven flow with [Formula: see text] and 1000; and (d) the steady viscous flow past a circular cylinder with [Formula: see text], 20 and 40.

ON BOUNDARY CONDITIONS IN THE FINITE VOLUME LATTICE BOLTZMANN METHOD ON UNSTRUCTURED MESHES

1999 ◽  
Vol 10 (06) ◽  
pp. 1003-1016 ◽  
Author(s):  
GONGWEN PENG ◽  
HAOWEN XI ◽  
SO-HSIANG CHOU
Keyword(s):  
Shear Flow ◽  
Boundary Conditions ◽  
Numerical Simulations ◽  
Lattice Boltzmann Method ◽  
Finite Volume ◽  
Simple Shear ◽  
Lattice Boltzmann ◽  
Unstructured Meshes ◽  
Simple Shear Flow ◽  
Boltzmann Method

Boundary conditions in a recently-proposed finite volume lattice Boltzmann method are discussed. Numerical simulations for simple shear flow indicate that the extrapolation and the half-covolume techniques for the boundary conditions are workable in conjunction with the finite volume lattice Boltzmann method for arbitrary meshes.

Finite volume scheme for the lattice Boltzmann method on unstructured meshes

1999 ◽  
Vol 59 (4) ◽  
pp. 4675-4682 ◽  
Author(s):  
Gongwen Peng ◽  
Haowen Xi ◽  
Comer Duncan ◽  
So-Hsiang Chou
Keyword(s):  
Lattice Boltzmann Method ◽  
Finite Volume ◽  
Lattice Boltzmann ◽  
Unstructured Meshes ◽  
Finite Volume Scheme ◽  
Volume Scheme ◽  
Boltzmann Method
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