Haibo Huang

• PhD
• Professor at University of Science and Technology of China

This work explores the variation of viscosity of capsule suspension during the process of capsule rupture and polymer release using the immersed-boundary lattice Boltzmann method. The variation of viscosity is classified into three stages in the rupture process: the deformation stage, the rupture stage, and the stable stage. In the process of polym...

This study explores the dynamics of flexible ribbons with an added weight $G$ at the tail in uniform flow, considering key parameters like inflow Reynolds number ( $Re_u$ ), mass ratio ( $M_t$ ) and aspect ratio ( ${A{\kern-4pt}R}$ ). For two-dimensional ribbons, a simplified theoretical model accurately predicts equilibrium configurations and forc...

The. inertial migration of both spherical and oblate particles within an equilateral triangular channel is studied numerically. Our study primarily focuses on the effects of fluid inertia, quantified by the Reynolds number (Re) and particle size (β). Our observations reveal two distinct equilibrium positions: the corner equilibrium position (CEP) i...

In this research, we apply the single-step Deep Reinforcement Learning (DRL) algorithm to optimize the spatial location and length of a downstream splitter plate, in order to suppress vortex shedding behind a cylinder. This algorithm is rare in optimization problems as it differs significantly from the traditional decision-making models. After a ca...

In this research, we apply the single-step deep reinforcement learning (DRL) algorithm to optimize the spatial location and length of a downstream splitter plate in order to suppress vortex shedding behind a cylinder. This algorithm is rare in optimization problems as it differs significantly from the traditional decision-making models. After a cas...

We numerically study the impact of a droplet on superhydrophobic flexible plates, aiming to understand how the flexible substrate influences the maximum spreading of the droplet. Compared with the rigid case, the vertical movement of the flexible substrate due to droplet impact reduces the maximum spreading. Besides, the average acceleration $a$ du...

The distribution of capsules and rheological properties of suspensions in curved tubes are investigated by using an immersed-boundary lattice Boltzmann method. We mainly focus on the effective suspension viscosity and equilibrium positions of capsules as functions of Reynolds number (Re), Capillary number (Ca) and volume fraction of capsules (ϕ). W...

The stability of the inverted flexible plate with non-uniform stiffness distribution in a free stream is studied by numerical simulation and mathematical theory. In our study, the bending stiffness distribution is expressed as the function of the leading-edge's bending stiffness K* and the polynomial of the plate's coordinate. Based on the former t...

Inertia may significantly influence the transient deformation process and the steady-state structure of a deformable capsule. The behavior of a two-dimensional deformable capsule in shear flow at finite Reynolds numbers (Re) is studied numerically. By simulating numerous cases with different Re and frequencies (f), we observed persistent oscillatio...

The width effect on contact angle hysteresis in a microchannel with patterned heterogeneous surfaces is systematically investigated. In the model, identical defects periodically appear on the background surface. To this end, a droplet's evaporation and condensation processes inside the microchannel are studied by theoretical analysis and numerical...

Fine fibre immersed in different flows is ubiquitous. For a fibre in shear flows, most motion modes appear in the flow-gradient plane. Here the two-dimensional behaviours of an individual flexible flap in channel flows are studied. The nonlinear coupling of the fluid inertia ( $\textit {Re}$ ), flexibility of the flap ( $K$ ) and channel width ( $W...

Fish schools and their potential hydrodynamic advantages are intriguing problems and many underlying mechanisms are unclear due to the complexity of the system, especially for large schools. Here large schools containing four, six, and eight self-propelled foils in a side-by-side configuration are numerically studied. The effect of different combin...

A nonlocal subgrid-scale stress (SGS) model is developed based on the convolution neural network (CNN), which is a powerful supervised data-driven method and also an ideal approach to naturally consider spatial information due to its wide receptive field. The CNN-based models used in this study take primitive flow variables as input only, and then,...

The rheological properties and microstructure of neutrally buoyant elliptical particle suspensions are studied using the immersed boundary-lattice Boltzmann method. For dilute suspensions containing only one particle, with the increase of aspect ratio Ar, the particle ceases to rotate due to the inertia at a critical aspect ratio Arc, and the value...

It is fascinating that fish groups spontaneously form different formations. The collective locomotions of two and multiple undulatory self-propelled foils swimming in a fluid are numerically studied and the deep reinforcement learning (DRL) is applied to control the locomotion. We explored whether typical patterns emerge spontaneously under the dri...

The mechanism behind stable aggregations of active swimmers is not fully understood. In particular, the in-depth quantitative explanations are notably lacking. To address this, a vorticity-based force expression is proposed to study the collective behaviors of two two-dimensional tandem flapping plates. The hydrodynamic force is directly related to...

The stability of the two-layer film flow driven by an oscillatory plate under long-wave disturbances is studied. The influence of key factors, such as thickness ratio ( $n$ ), viscosity ratio ( $m$ ), density ratio ( $r$ ), oscillatory frequency ( $\beta$ ) and insoluble surfactants on the stability behaviours is studied systematically. Four specia...

The self-organization of active swimmers is interesting but not fully understood. Lighthill conjectured that the orderly configurations may emerge passively from the hydrodynamic interactions rather than active control mechanism. To further test Lighthill's conjecture, the effect of active control on the propulsive performance of two self-propelled...

A nonlocal subgrid-scale stress (SGS) model is developed based on the convolution neural network (CNN), a powerful supervised data-driven approach. The CNN is an ideal approach to naturally consider nonlocal spatial information in prediction due to its wide receptive field. The CNN-based models used here only take primitive flow variables as input,...

The locomotion of a flapping flexible plate with different shapes and non-uniform chordwise stiffness distribution in a stationary fluid is studied numerically. The normalized effective bending stiffness K∗ for three-dimensional plates with arbitrary stiffness distribution and shape parameters is proposed, and the overall bending stiffness of non-u...

Fish schooling with stable configurations is intriguing. How individuals benefit from hydrodynamic interactions is still an open question. Here, fish are modeled as undulatory self-propelled foils, which is more realistic. The collective locomotion of two foils in a tandem configuration with different amplitude ratios Ar and frequency ratios Fr is...

The rheology of a capsule suspension in two-dimensional confined Poiseuille flow is studied numerically using an immersed-boundary lattice Boltzmann method. The effects of capsule volume fraction ϕ and bending stiffness Eb on the rheology of the suspension are investigated first. The apparent viscosity does not monotonically increase with ϕ: the va...

The effect of non-uniform chordwise stiffness distribution on the self-propulsive performance of three-dimensional flexible plates is studied numerically. Some typical stiffness distributions, including uniform, declining, and growing distribution, are considered. First, the normalized bending stiffness K̃ is derived, which can well represent the o...

Droplets interacting with deformable moving boundaries is ubiquitous. The flexible boundaries may dramatically affect the hydrodynamic behavior of droplets. A numerical method for simulating droplet impact on flexible substrates is developed. The effect of flexibility is investigated. To reduce the contact time and increase the remaining upward mom...

Effect of trailing-edge shape on the self-propulsive performance of heaving flexible plates - Volume 887 - Chengyao Zhang, Haibo Huang, Xi-Yun Lu

Two deep learning (DL) models addressing the super-resolution (SR) reconstruction of turbulent flows from low-resolution coarse flow field data are developed. One is the static convolutional neural network (SCNN), and the other is the novel multiple temporal paths convolutional neural network (MTPC). The SCNN model takes instantaneous snapshots as...

Fish may take advantage of environmental vortices to save the cost of locomotion. The complex hydrodynamics shed from multiple physical objects may significantly affect fish refuging (holding stationary). Taking a model of a self-propelled flapping plate, we numerically studied the locomotion of the plate in wakes of two tandem cylinders. In most s...

Droplet evaporation on heterogeneous or patterned surfaces has numerous potential applications, for example, inkjet printing. The effect of surface heterogeneities on the evaporation of a nanometer-sized cylindrical droplet on a solid surface is studied using molecular dynamics simulations of Lennard-Jones particles. Different heterogeneity of the...

The effective viscosities of dilute and semi-dilute suspensions in a two-dimensional shear flow are studied using the lattice Boltzmann method. The suspensions contain non-Brownian hard circular buoyant porous particles. Here a more accurate formula for intrinsic viscosity as a function of Darcy number (Da) for the whole Da regime is proposed throu...

The role of the hydrodynamic effect in the collective locomotion of several birds or fish is an interesting topic. Taking a model of a self-propelled flapping plate, we numerically investigated the collective locomotion of a pair of plates with comparable but different propulsive capacities, e.g., one long and one short plates. The longer plate is...

While hydrodynamic interactions for aggregates of swimmers have received significant attention in the low Reynolds number realm ( $Re\ll 1$ ), there has been far less work at higher Reynolds numbers, in which fluid and body inertia are involved. Here we study the collective behaviour of multiple self-propelled plates in tandem configurations, which...

Energetic benefit and enhanced performance are considered among the most fascinating achievements of collective behaviours, e.g. fish schools and flying formations. The collective locomotion of two self-propelled flapping plates initially in a side-by-side arrangement is investigated numerically. Both in-phase and antiphase oscillations for the two...

Featured Application This work can potentially be used in applications where thin film evaporation is involved, for example, cooling and vapor generation. The approach introduced in this paper may facilitate the phenomenon-level understanding of heat and mass transfer, as well as the device-level design. Abstract Thin film evaporation (TFE) plays...

The interaction of tandem inverted flexible flags in a uniform flow is investigated. For the inverted flags, their ends are fixed with their heads freely flapping. A direct numerical simulation is performed for which the Reynolds number is of order 200. Large flapping amplitude as well as large drag force is preferred because more energy may be har...

We propose an alternative method to implement the contact angle boundary condition on a solid wall and apply it in hybrid lattice-Boltzmann finite-difference simulations of two-phase flows with immersed surfaces in which the flow equations are solved by the lattice-Boltzmann method and the interface equations are solved by the finite-difference met...

The complete growth process of a single bubble in quiescent liquid is simulated using a three-dimensional hybrid thermal lattice Boltzmann model. The non-equilibrium extrapolation pressure boundary condition is extended to handle the thermal multiphase flow. Unfavorable spurious currents are usually generated in the vicinity of curved interfaces wh...

A suspended ellipsoidal particle inside a Poiseuille flow with Reynolds number up to 360 is studied numerically. The effects of tube diameter ( $D$ ), inertia of the particle and the flow, and the particle geometry (both prolate and oblate ellipsoids) are considered. When a prolate particle with $a/b=2$ is inside a wider tube (e.g. $D/A>1.9$ ), whe...

The motion and rotation of an ellipsoidal particle inside square tubes and rectangular tubes with the confinement ratio R / a ∈(1.0,4.0) are studied by the lattice Boltzmann method (LBM), where R and a are the radius of the tube and the semi-major axis length of the ellipsoid, respectively. The Reynolds numbers ( Re ) up to 50 are considered. For t...

The free locomotion of a two-dimensional flapping flexible plate near the flat ground is studied by the lattice Boltzmann method for fluid flow and a finite-element method for the plate motion. The fluid flow and plate deformation are coupled through the immersed boundary scheme. When the leading edge of the plate is forced to oscillate sinusoidall...

Interaction between two tandem flexible loops with tension and bending stiffness in a viscous flow is investigated by numerical simulations. In most cases, the heads of the loops facing the oncoming flow are fixed but flapping around the head is allowed. The effect of the gap distance between the two passive flapping loops (G) on the drag coefficie...

The self-propulsion of a three-dimensional flapping flexible plate near the ground is studied using an immersed boundary-lattice Boltzmann method for fluid flow and a finite-element method for plate motion. When the leading edge of the flexible plate is forced into a vertical oscillation near the ground, the entire plate moves freely due to the flu...

The dynamics of a capsule in general flows is studied analytically and numerically. The capsule is modeled as a liquid-filled drop enclosed by a membrane. We adapted the Keller-Skalak (KS) theory and Skotheim-Secomb model to the case of general flow, the governing equations are derived. It is found that when viscosity ratio the capsule dynamics in...

Sedimentation behaviors of an oblate ellipsoidal particle inside narrow[R/a is an element of(1.2,2.0)] infinitely long circular tubes are studied by the lattice Boltzmann method, where R and a are the radius of the tube and the length of the semimajor axis of the ellipsoid, respectively. The Archimedes numbers (Ar) up to 70 are considered. Four per...

Abstract Rock surface wettability is one of the most important factors impacting the oil recovery efficiency. Carbonate reservoir rocks show highly heterogeneous wettability, which is imposing big challenges in Enhanced Oil Recovery. Because of the complicated porous morphology and interaction between oil/water phases, the mechanism of how surface...

Theory and Application of Multiphase Lattice Boltzmann Methods presents a comprehensive review of all popular multiphase Lattice Boltzmann Methods developed thus far and is aimed at researchers and practitioners within relevant Earth Science disciplines as well as Petroleum, Chemical, Mechanical and Geological Engineering. Clearly structured throug...

Multiphase fluid phenomena and flows occur when two or more fluids that do not readily mix (such as air and water) share an interface. Computational fluid dynamics (CFD) has become very important in fluid flow studies. The Lattice Boltzmann method (LBM) has developed very quickly in the last two decades and has become a novel and powerful CFD tool,...

He et al. proposed an incompressible multiphase LBM. Recently, a series of models based on the model of He et al. have been further developed to handle higher-density ratio multiphase flows. Lee and Lin proposed the idea of directional derivatives. Later, Lee and Fischer (2006), Lee and Liu (2010), and Amaya-Bower and Lee (2010) applied an isotropi...

The model of He et al. has been extended to study axisymmetric multiphase flows, such as the two-droplet collision, break up of a liquid cylindrical column, and a drop impacting on wet walls. This chapter first illustrates the macroscopic governing equation of a developed scheme. Next, it introduces the axisymmetric multiphase HCZ LBM developed by...

Rothman and Keller proposed the first multi-component lattice gas model. The model was further developed by Gunstensen et al. through adding an extra binary fluid collision (perturbation operator) to the Lattice Boltzmann equation. Latva-Kokko and Rothman improved the recoloring step in the Rothman and Keller (RK) model, which is able to reduce the...

The original Swift free-energy-based SCMP LBM was described in Swift et al. Here detailed derivations are given to make its development easy to follow. This chapter provides the derivation according to the D2Q7 and D2Q9 velocity models. This model is developed from the free-energy model, which is Galilean invariant when both fluids are ideal gases....

This chapter briefly introduces the MCMP SC model. The derivation of pressure from the repulsive force expression is given in detail. This is followed by a discussion on an approximate method for specifying a contact angle. Usually, this model is used to simulate two-component flow with density ratios near unity. The chapter also deals with two-com...

In this chapter, the axisymmetric model of Mukherjee and Abraham, which is based on Lee and Lin, is introduced briefly and applied to simulate a droplet splashing. An axisymmetric model based on Lee and Liu first introduced and applied to head-on collisions of two droplets and bubble rise problems. Chiappini et al. applied the model of Lee and Liu...

The Inamuro model belongs to the class of free-energy models. This model simulates high-density-ratio two-phase flows but the computational load is extremely heavy. This chapter analyzes this model both theoretically and numerically. The model is applied in wetting phenomena of chemically heterogeneous surfaces. The numerical method in accordance w...

He et al. proposed a single-component multiphase Lattice Boltzmann model for simulation of multiphase flow in the incompressible limit. It is referred to as the He–Cheng–Zhang (HCZ) model. This model is used to simulate droplet spreading, 3D droplet oscillation, Rayleigh-Taylor mixing, droplet impact on dry walls, etc. In this chapter, after the me...

A multiphase lattice Boltzmann flux solver (MLBFS) is proposed in this paper for incompressible multiphase flows with low- and large-density-ratios. In the solver, the flow variables at cell centers are given from the solution of macroscopic governing differential equations (Navier-Stokes equations recovered by multiphase lattice Boltzmann (LB) mod...

We propose a numerical method for the simulation of axisymmetric binary fluids based on the phase-field theory and vorticity-streamfunction formulation. Unlike most existing methods that solve the incompressible Navier-Stokes equations in the velocity-pressure form, we recast the equations into the vorticity-streamfunction form, which only need to...

We studied several wetting boundary conditions (WBCs) in the numerical simulation of binary fluids by using phase-field method. Five WBCs, three using the linear, cubic, and sine form surface energy (LinSE, CubSE, and SinSE), the other two using the geometric formulation (Geom) and the characteristic interpolation (CI), were compared through the st...

Interaction of vortex rings with solid is an important research topic of hydrodynamic. In this study, amultiple-relaxation time (MRT) lattice Boltzmann method (LBM) is used to investigate the flow of a vortex ring impacting spheroidal particles. The MRT-LBM is validated through the cases of vortex ring impacting a flat wall. The vortex evolution du...

This study presents model extensions for a lattice Boltzmann (LB) approach to thermal axisymmetric flow including swirl or rotation. An incompressible axisymmetric lattice Boltzmann D2Q9 model was applied to solve the axial and radial velocities through inserting source terms into the two-dimensional lattice Boltzmann equation. The equations govern...

A novel flexible forcing hybrid immersed boundary-lattice Boltzmann model (IB-LBM) is introduced in the present paper for solving moving boundary problems. In conventional IB-LBM schemes, explicit formulations of force density term may not ensure no-slip boundary condition accurately, which leads to inaccurate force and torque calculations for movi...

The recently proposed (Dash et al 2013) flexible forcing immersed boundary (IB) – lattice Boltzmann method (LBM) is improved in this work to simulate three dimension fluid-solid interaction problems. In conventional IB-LBM schemes explicit calculation of the force density may produce unsatisfactory no-slip boundary condition. This further leads to...

Sedimentation behaviours of an ellipsoidal particle in narrow and infinitely long tubes are studied by a multi-relaxation-time lattice Boltzmann method (LBM). In the present study, both circular and square tubes with 12/13 <= D/A = 2.5 are considered with the Galileo number (Ga) up to 150, where D and A are the width of the tube and the length of m...

Natural convection process in an annulus of a cold square enclosure with a hot eccentric square cylinder is simulated using a novel flexible forcing immerse boundary (IB) – lattice Boltzmann method (LBM). In the conventional IB–LBM schemes, the explicit force density calculation may not ensure the exact no-slip velocity/no-jump temperature bound...

A free-energy-based phase-field lattice Boltzmann method is proposed in this work to simulate multiphase flows with density contrast. The present method is to improve the Zheng-Shu-Chew (ZSC) model [Zheng, Shu, and Chew, J. Comput. Phys. 218, 353 (2006)] for correct consideration of density contrast in the momentum equation. The original ZSC model...

A novel flexible forcing immersed boundary and lattice Boltzmann method (IB-LBM) is introduced in this paper. In the conventional IB-LBM, explicit calculation of force density term may not guarantee exact satisfaction of no-slip boundary condition. This produces unphysical streamline penetration into the solid immersed object. Therefore an implicit...

A novel flexible forcing hybrid immersed boundary (IB) – lattice Boltzmann method (LBM) is introduced to simulate flow past freely falling spheres in a three dimensional rectangular channel. Compare to conventional IB-LBM schemes proposed algorithm is advantageous in both computational simplicity and mathematical formulation. In the conventional IB...

In this work, the motion of a 2-D drop on a surface with given wettability gradient is studied numerically by a hybrid lattice-Boltzmann finite-difference method using the multiple-relaxation-time collision model. We incorporate the geometric wetting boundary condition that allows accurate implementation of a contact angle hysteresis model. The met...

Originally, the color-gradient model proposed by Rothman and Keller (R-K) was unable to simulate immiscible two-phase flows with different densities. Later, a revised version of the R-K model was proposed by Grunau et al. [D. Grunau, S. Chen and K. Eggert, Phys. Fluids A: Fluid Dyn. 5, 2557 (1993).] and claimed it was able to simulate two-phase flo...

We propose a hybrid lattice-Boltzmann finite-difference method to simulate axisymmetric multiphase flows. The hydrodynamics is simulated by the lattice-Boltzmann equations with the multiple-relaxation-time (MRT) collision model and suitable forcing terms that account for the interfacial tension and axisymmetric effects. The interface dynamics is ca...

Key Points With CT data, Lattice Boltzmann methods can measure extreme permeabilites Lattice Boltzmann methods are capable of simulating non‐Darcy flows In some aquifers, non‐Darcy flows can occur at low gradients

In this paper, a scheme for specifying contact angle and its hysteresis is incorporated into a multiphase lattice Boltzmann method. The scheme is validated through investigations of the dynamic behaviors of a droplet sliding along two kinds of walls: a smooth (ideal) wall and a rough or chemically inhomogeneous (nonideal) wall. For an ideal wall, t...

In the present paper a novel hybrid immersed boundary (IB) - thermal lattice Boltzmann model (TLBM) is proposed. A heat source term is introduced into the energy equation to model the Dirichlet temperature effect of the immersed boundary. In this study an implicit approach is followed where the heat source term is obtained from an unknown tempe...

The intrinsic viscosities for prolate and oblate spheroidal suspensions in a dilute Newtonian fluid are studied using a three-dimensional lattice Boltzmann method. Through directly calculated viscous dissipation, the minimum and maximum intrinsic viscosities and the period of the tumbling state all agree well with the analytical solution for partic...

Lattice Boltzmann (LB) algorithm is one of the allured research field among the scientists and researcher from last few decades. In this solver simulation of fluid flow in the computational domain is performed based on microscopic discrete Boltzmann equation and gas kinetics. Unlike the conventional non linear Navier-Stokes (NS) solver where pressu...

The rotation of a neutrally buoyant spheroidal particle in a Couette flow is studied by a multi-relaxation-time (MRT) lattice Boltzmann method. We find several new periodic and steady rotation modes for a prolate spheroid for Reynolds numbers () exceeding 305. The simulations cover the regime up to . The rotational behaviour of the spheroid appears...

Numerous schemes have been proposed to incorporate a bulk forcing term into the lattice Boltzmann equation. In this paper we present a simple and straightforward comparative analysis of five popular schemes in which their differences and similarities are identified. From the analysis we classify the schemes into two groups; the behaviors of the sch...

Zhang and Chen proposed a lattice Boltzmann method for simulations of liquid-vapor thermal flows [Zhang and Chen, Phys. Rev. E 67, 066711 (2003)]. In their numerical test, the authors show simulation results with a temperature ratio of approximately 1.2 for a thermal two-phase flow with T<0.8T(c). However, we believe this to be erroneous and demons...

The lattice Boltzmann method (LBM) has been applied to electrohydrodynamics (EHD) in recent years. In this paper, Shan-Chen (SC) single-component multiphase LBM is developed to study large-density-ratio EHD problems. The deformation/motion of a droplet suspended in a viscous liquid under an applied external electric field is studied with three diff...

A free energy (FE) model, the Shan–Chen (S–C) model, and the Rothman and Keller (R–K) model are studied numerically to evaluate their performance in modeling two-dimensional (2D) immiscible two-phase flow in porous media on the pore scale. The FE model is proved to satisfy the Galilean invariance through a numerical test and the mass conservation o...

Numerous lattice Boltzmann (LB) methods have been proposed for solution of the convection–diffusion equations (CDE). For the 2D problem, D2Q9, D2Q5 or D2Q4 velocity models are usually used. When LB convection–diffusion models are used to solve a CDE coupled with Navier–Stokes equations, boundary conditions are found to be critically important for a...

In this paper, the Shan–Chen-type (SC) multiphase lattice Boltzmann model was used to study the viscous coupling effects for immiscible two-phase flow in porous media. In the model, any typical equation of state can be incorporated and different contact angles of the gas–liquid interface at a solid wall can be obtained easily through adjusting the...

In this paper, the viscous coupling effects for immiscible two-phase gas-liquid flow in porous media were studied using the Shan–Chen-type single-component multiphase lattice Boltzmann model. Using the model, the two-phase flows in porous media with density ratio as high as 56 could be simulated and the contact angle of the gas-liquid interface at...

Isothermal gas flow in microtubes with a sudden expansion or contraction is studied numerically by lattice Boltzmann method. An axisymmetric D2Q9 model is used to simulate gas slip flow in micro-circular pipes. With the boundary condition combined specular and bounce-back schemes, the computed results are in excellent agreement with analytical solu...

The forcing term in the lattice Boltzmann equation (LBE) is usually used to mimic Navier-Stokes equations with a body force. To derive axisymmetric model, forcing terms are incorporated into the two-dimensional (2D) LBE to mimic the additional axisymmetric contributions in 2D Navier-Stokes equations in cylindrical coordinates. Many axisymmetric lat...

We derived two new expressions for the intrinsic permeability (k) of fractal porous media. The first approach, the probabilistic capillary connectivity (PCC) model, is based on evaluating the expected value of the cross- sectional area of pores connected along various flow paths in the direction in which the permeability is sought. The other model...

In this paper, the 3D Navier–Stokes (N–S) equation and Cahn–Hilliard (C–H) equations were solved using a free-energy-based lattice Boltzmann (LB) model. In this model, a LB equation with a D3Q19 velocity model is used to recover continuity and N–S equations while another LB equation with D3Q7 velocity model for solving C–H equation (Int. J. Numer....

A combination of cyclostratigraphic, ichnologic, and borehole geophysical analyses of continuous core holes; tracer-test analyses; and lattice Boltzmann flow simulations was used to quantify biogenic macroporosity and permeability of the Biscayne aquifer, southeastern Florida. Biogenic macroporosity largely manifests as: (1) ichnogenic macroporosit...

A parallel implementation of the three-dimensional Shan-and-Chen multicomponent, multiphase lattice Boltzmann method (LBM) was used to simulate the equilibrium distributions of two immiscible fluids in porous media. The simulations were successfully validated against cone-beam x-ray microtomographic data on the distribution of oil (decane), water,...

A parallel implementation of the three-dimensional Shan-and-Chen multicomponent, multiphase lattice Boltzmann method (LBM) was used to simulate the equilibrium distributions of two immiscible fluids in porous media. The simulations were successfully validated against cone-beam x-ray microtomographic data on the distribution of oil (decane), water,...

We propose a method for approximating the adhesion parameters in the Shan and Chen multicomponent, multiphase lattice Boltzmann model that leads to the desired fluid-solid contact angle. The method is a straightforward application of Young's equation with substitution of the Shan and Chen cohesion parameter and a density factor for the fluid-fluid...

Purpose This paper aims to examine how using lattice Boltzmann method (LBM) aids the study of the isothermal‐gas flow with slight rarefaction in long microtubes. Design/methodology/approach A revised axisymmetric lattice Boltzmann model is proposed to simulate the flow in microtubes. The wall boundary condition combining the bounce‐back and specul...

The axisymmetric flows with swirl or rotation were solved by a hybrid scheme with lattice Boltzmann method for the axial and radial velocities and finite-difference method for the azimuthal (or swirl) velocity and the temperature. An incompressible axisymmetric lattice Boltzmann D2Q9 model was proposed to solve the axial and radial velocities throu...

The Menger sponge is a three-dimensional mass fractal that provides a good approximation of the pore space geometry of natural porous media. We present new analytical expressions for the intrinsic permeability (k) of both classical (deterministic) and randomized sponges. The analytical expressions are compared with estimates of k derived from Latti...

In this paper an accurate axisymmetric lattice Boltzmann D2Q9 model is proposed to simulate the steady and pulsatile flows in circular pipes. Present model is derived from an incompressible D2Q9 model and some errors in a previous model [Halliday et al., Phys. Rev. E 64, 011208 (2001)] are revised. In the previous model, some terms relative to the...

In this paper, a recent curved non-slip wall boundary treatment for isothermal Lattice Boltzmann equation (LBE) [Z. Guo, C. Zheng and B. Shi, Phys. Fluids 14(6) (2002)] is extended to handle the thermal curved wall boundary for a double-population thermal lattice Boltzmann equation (TLBE). The unknown distribution population at a wall node which is...