Simulation of Blob Dynamics Inside a Channel Under Acoustic Excitation

Contact Line ◽

Lattice Boltzmann ◽

Three Dimensional ◽

Acoustic Excitation ◽

Two Dimensional ◽

The Mean ◽

The displacement of a three-dimensional immiscible blob subject to oscillatory acoustic excitation in a channel is studied with the Lattice Boltzmann method. The effects of amplitude of the force, viscosity and frequency on blob dynamics are investigated. The trend for variation of mean displacement of blob and frequency response is in agreement to that of the previous two-dimensional studies reported in literature. The response of the blob with pinned contact line shows underdamped behavior. It is also found that increasing the amplitude of the force increases the mean displacement and frequency response.

TAYLOR SERIES EXPANSION AND LEAST SQUARES-BASED LATTICE BOLTZMANN METHOD: THREE-DIMENSIONAL FORMULATION AND ITS APPLICATIONS

International Journal of Modern Physics C ◽

10.1142/s0129183103005133 ◽

2003 ◽

Vol 14 (07) ◽

pp. 925-944 ◽

Cited By ~ 15

Author(s):

C. SHU ◽

X. D. NIU ◽

Y. T. CHEW

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Lattice Boltzmann ◽

Three Dimensional ◽

Taylor Series Expansion ◽

Least Square ◽

Two Dimensional ◽

Algebraic Form ◽

The two-dimensional form of the Taylor series expansion- and least square-based lattice Boltzmann method (TLLBM) was recently presented by Shu et al.8 TLLBM is based on the standard lattice Boltzmann method (LBM), Taylor series expansion and the least square optimization. The final formulation is an algebraic form and essentially has no limitation on the mesh structure and lattice model. In this paper, TLLBM is extended to the three-dimensional case. The resultant form keeps the same features as the two-dimensional one. The present form is validated by its application to simulate the three-dimensional lid-driven cavity flow at Re=100, 400 and 1000. Very good agreement was achieved between the present results and those of Navier–Stokes solvers.

Analysis of Fluid Flow in Porous Media Using the Lattice Boltzmann Method: Inertial Flow Regime

Volume 1: Symposia, Parts A and B ◽

10.1115/fedsm2012-72127 ◽

2012 ◽

Author(s):

Huizhe Zhao ◽

Aydin Nabovati ◽

Cristina H. Amon

Keyword(s):

Reynolds Number ◽

Lattice Boltzmann ◽

Critical Reynolds Number ◽

Three Dimensional ◽

Two Dimensional ◽

Inertial Effects ◽

Inertial Flow ◽

Boltzmann Method ◽

Three Dimensional Simulations

In this work, we use the lattice Boltzmann method to study inertial flow in three-dimensional random fibrous porous materials. In order to validate the methodology, inertial flow in two-dimensional hexagonal arrangements of circular cylinders is simulated, and the results are compared against those previously reported in the literature. The three-dimensional fibrous porous materials are then constructed by randomly placing straight cylindrical fibers inside the computational domain. Inertial effects are studied systematically for a wide range of pore Reynolds numbers in materials with porosities between 0.60 and 0.95. A previously proposed semi-empirical relation is modified to represent the inertial effects in three-dimensional fibrous materials. Three distinct regimes of constant, quadratic, and linear relations between the inverse of the permeability and pore Reynolds number are observed for both two- and three-dimensional simulations. The critical Reynolds number, beyond which the inertial effects are strong and this relation is linear, is shown to be smaller in three-dimensional simulations, when compared to the critical Reynolds number in two-dimensional simulations.

Development of a snowdrift model with the lattice Boltzmann method

Progress in Earth and Planetary Science ◽

10.1186/s40645-021-00449-0 ◽

2021 ◽

Vol 8 (1) ◽

Author(s):

Seika Tanji ◽

Masaru Inatsu ◽

Tsubasa Okaze

Keyword(s):

Lattice Boltzmann ◽

Three Dimensional ◽

Vortex Pair ◽

Windward Side ◽

Leeward Side ◽

Wind Flow ◽

Two Dimensional ◽

Slip Boundary ◽

AbstractWe developed a snowdrift model to evaluate the snowdrift height around snow fences, which are often installed along roads in snowy, windy locations. The model consisted of the conventional computational fluid dynamics solver that used the lattice Boltzmann method and a module for calculating the snow particles’ motion and accumulation. The calculation domain was a half channel with a flat free-slip boundary on the top and a non-slip boundary on the bottom, and an inflow with artificially generated turbulence from one side to the outlet side was imposed. In addition to the reference experiment with no fence, experiments were set up with a two-dimensional and a three-dimensional fence normal to the dominant wind direction in the channel center. The estimated wind flow over the two-dimensional fence was characterized by a swirling eddy in the cross section, whereas the wind flow in the three-dimensional fence experiment was horizontally diffluent with a dipole vortex pair on the leeward side of the fence. Almost all the snowdrift formed on the windward side of the two-dimensional and three-dimensional fences, although the snowdrift also formed along the split streaks on the leeward side of the three-dimensional fence. Our results suggested that the fence should be as long as possible to avoid snowdrifts on roads.

Development of a Snowdrift Model with the Lattice Boltzmann Method

10.21203/rs.3.rs-342607/v1 ◽

2021 ◽

Author(s):

Seika Tanji ◽

Masaru Inatsu ◽

Tsubasa Okaze

Keyword(s):

Lattice Boltzmann ◽

Three Dimensional ◽

Vortex Pair ◽

Wind Flow ◽

Two Dimensional ◽

Slip Boundary ◽

Dipole Vortex ◽

Set Up ◽

Abstract This study developed a new snowdrift model to evaluate the snowdrift height around a snow fence, often installed along a road in a snowy and windy environment. The model consisted of the conventional computational fluid dynamics (CFD) solver by the Lattice Boltzmann method (LBM) and a module for snow particles’ motion and accumulation. The calculation domain was a half channel with a flat free-slip boundary on the top and a non-slip boundary on the bottom, imposing an inflow with artificially generated turbulence from one side to the other outlet side. Besides the reference experiment with no fence, the experiment was set up with a two-dimensional and a three-dimensional fences normal to the dominant wind direction in the channel center. The estimated wind flow over the two-dimensional fence was characterized by a swirling eddy in the cross-section, whereas the wind flow in the three-dimensional fence experiment was horizontally diffluent with a dipole vortex pair in the leeward of the fence. As a result, almost all of snowdrift was formed in the windward of the two-dimensional and three-dimensional fences, but it was also formed as the split streak in the leeward of the three-dimensional fence. The result suggested that the fence should be as long as possible to avoid the snowdrift on roads.