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Lattice Boltzmann simulation of immiscible three-phase flows with contact-line dynamics SCIE
期刊论文 | 2019 , 99 (1) | PHYSICAL REVIEW E
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A multiphase lattice Boltzmann method is developed to simulate immiscible three-phase flows with contact-line dynamics. In this method, the immiscible three-phase flow is modeled by a multiple-relaxation-time color-gradient model, which not only allows for a full range of interfacial tensions but also can produce viscosity-independent results especially when the fluid-surface interactions are considered. To achieve the desired contact angles, a weighted contact angle model is utilized to obtain a relatively smooth transition of contact angle for each fluid, which is enforced through a geometrical wetting condition. This method is first validated by simulations of a Janus droplet resting on a surface for various contact angles and fluid properties and dynamic capillary filling of ternary fluids with different viscosity ratios. It is then used to simulate a Janus droplet on a substrate subject to Poiseuille flow. Results show that the droplet may undergo three typical modes, namely, two stable deformation modes and breakup mode, which depend not only on the inlet velocity but also on the fluid viscosity. The terminal velocity of moving droplet increases linearly with the inlet velocity in both stable modes only when three fluids do not differ much in their viscosities.

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GB/T 7714 Yu, Yuan , Liang, Dong , Liu, Haihu . Lattice Boltzmann simulation of immiscible three-phase flows with contact-line dynamics [J]. | PHYSICAL REVIEW E , 2019 , 99 (1) .
MLA Yu, Yuan 等. "Lattice Boltzmann simulation of immiscible three-phase flows with contact-line dynamics" . | PHYSICAL REVIEW E 99 . 1 (2019) .
APA Yu, Yuan , Liang, Dong , Liu, Haihu . Lattice Boltzmann simulation of immiscible three-phase flows with contact-line dynamics . | PHYSICAL REVIEW E , 2019 , 99 (1) .
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A versatile lattice Boltzmann model for immiscible ternary fluid flows SCIE
期刊论文 | 2019 , 31 (1) | PHYSICS OF FLUIDS
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We propose a lattice Boltzmann color-gradient model for immiscible ternary fluid flows, which is applicable to the fluids with a full range of interfacial tensions, especially in near-critical and critical states. An interfacial force for N-phase systems is derived and then introduced into the model using a body force scheme, which helps reduce spurious velocities. A generalized recoloring algorithm is applied to produce phase segregation and ensure immiscibility of three different fluids, where an enhanced form of segregation parameters is derived by considering the existence of Neumann's triangle and the effect of the equilibrium contact angle in a three-phase junction. The proposed model is first validated by two typical examples, namely, the Young-Laplace test for a compound droplet and the spreading of a droplet between two stratified fluids. It is then used to study the structure and stability of double droplets in a static matrix. Consistent with the theoretical stability diagram, seven possible equilibrium morphologies are successfully reproduced by adjusting the interfacial tension ratio. By simulating near-critical and critical states of double droplets where the outcomes are very sensitive to the model accuracy, we show that the present model is advantageous to three-phase flow simulations and allows for accurate simulation of near-critical and critical states. Finally, we investigate the influence of interfacial tension ratio on the behavior of a compound droplet in a three-dimensional shear flow, and four different deformation and breakup modes are observed.

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GB/T 7714 Yu, Yuan , Liu, Haihu , Liang, Dong et al. A versatile lattice Boltzmann model for immiscible ternary fluid flows [J]. | PHYSICS OF FLUIDS , 2019 , 31 (1) .
MLA Yu, Yuan et al. "A versatile lattice Boltzmann model for immiscible ternary fluid flows" . | PHYSICS OF FLUIDS 31 . 1 (2019) .
APA Yu, Yuan , Liu, Haihu , Liang, Dong , Zhang, Yonghao . A versatile lattice Boltzmann model for immiscible ternary fluid flows . | PHYSICS OF FLUIDS , 2019 , 31 (1) .
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Color-gradient lattice Boltzmann modeling of immiscible two-phase flows on partially wetting surfaces EI SCIE Scopus
期刊论文 | 2018 , 232 (3) , 416-430 | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
WoS CC Cited Count: 2 SCOPUS Cited Count: 1
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Abstract :

A zero-interfacial-force condition is derived and implemented to improve the wetting boundary scheme for a lattice Boltzmann color-gradient model. This new wetting boundary scheme is validated by two static problems, i.e. a droplet resting on a flat surface and a cylindrical surface, and one dynamic problem, i.e. the capillary filling in a two-dimensional channel. In these simulations, we observe that non-physical mass transfer is suppressed and spurious velocities become smaller. Meanwhile, accurate results including dynamic contact line movement are achieved for a broad range of contact angles. The model is then applied to study the displacement of immiscible fluids in a two-dimensional channel. Both the displacement velocity and the change rate of finger length are found to exhibit a linear dependence on the contact angle at the viscosity ratio of unity. The displacement velocity decreases but the change rate of finger length increases with increasing capillary number, while the displacement velocity tends to be constant, i.e. two-thirds of the maximum inlet velocity, at high viscosity ratios or low capillary numbers. In contrast to the displacement velocity, the change rate of finger length is negligible at high viscosity ratios or low capillary numbers, where the finger length is in an equilibrium state, while the equilibrium finger length itself is smaller at a higher viscosity ratio or a lower capillary number.

Keyword :

immiscible displacement contact line movement wetting boundary scheme interfacial force Color-gradient lattice Boltzmann model

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GB/T 7714 Yu, Yuan , Liu, Haihu , Zhang, Yonghao et al. Color-gradient lattice Boltzmann modeling of immiscible two-phase flows on partially wetting surfaces [J]. | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE , 2018 , 232 (3) : 416-430 .
MLA Yu, Yuan et al. "Color-gradient lattice Boltzmann modeling of immiscible two-phase flows on partially wetting surfaces" . | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE 232 . 3 (2018) : 416-430 .
APA Yu, Yuan , Liu, Haihu , Zhang, Yonghao , Liang, Dong . Color-gradient lattice Boltzmann modeling of immiscible two-phase flows on partially wetting surfaces . | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE , 2018 , 232 (3) , 416-430 .
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The lattice Boltzmann method and its applications in complex flows and fluid-structure interactions EI SCIE Scopus
期刊论文 | 2018 , 232 (3) , 403-404 | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
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GB/T 7714 Tian, Fang-Bao , Wang, Yong , Liu, Haihu et al. The lattice Boltzmann method and its applications in complex flows and fluid-structure interactions [J]. | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE , 2018 , 232 (3) : 403-404 .
MLA Tian, Fang-Bao et al. "The lattice Boltzmann method and its applications in complex flows and fluid-structure interactions" . | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE 232 . 3 (2018) : 403-404 .
APA Tian, Fang-Bao , Wang, Yong , Liu, Haihu , Zhang, Yonghao . The lattice Boltzmann method and its applications in complex flows and fluid-structure interactions . | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE , 2018 , 232 (3) , 403-404 .
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Multi-axis dynamic displacement measurement based on a strain shunt structure EI SCIE Scopus
期刊论文 | 2018 , 272 , 62-74 | SENSORS AND ACTUATORS A-PHYSICAL
WoS CC Cited Count: 1 SCOPUS Cited Count: 1
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Abstract :

Transient gap or crack width monitoring is essential for structural health monitoring and failure analysis of large civil structures. In this paper, an innovative multi-axis displacement sensor, which utilises metal foil strain gauges on a strain shunt structure, has been proposed. This displacement sensor has the advantages inherited from metal foil strain sensing, such as low cost, high precision, fast dynamic response and low power consumption, and can also measure displacement in two axes independently. The working principles and sensitivity are derived theoretically from key geometrical parameters of the shunt structure, and the linear response of strain values to the given displacement of two translational axes has been demonstrated experimentally. Furthermore, modal response, stress concentration, optimal gauges installation positions and bending deformation due to moment of the third axis are studied numerically. (C) 2018 Elsevier B.V. All rights reserved.

Keyword :

Wireless sensor network Crack monitoring Strain gauge Displacement sensor SHM

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GB/T 7714 Xia, Qingfeng , Liu, Haihu . Multi-axis dynamic displacement measurement based on a strain shunt structure [J]. | SENSORS AND ACTUATORS A-PHYSICAL , 2018 , 272 : 62-74 .
MLA Xia, Qingfeng et al. "Multi-axis dynamic displacement measurement based on a strain shunt structure" . | SENSORS AND ACTUATORS A-PHYSICAL 272 (2018) : 62-74 .
APA Xia, Qingfeng , Liu, Haihu . Multi-axis dynamic displacement measurement based on a strain shunt structure . | SENSORS AND ACTUATORS A-PHYSICAL , 2018 , 272 , 62-74 .
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A hybrid lattice Boltzmann and finite difference method for droplet dynamics with insoluble surfactants EI SCIE Scopus
期刊论文 | 2018 , 837 , 381-412 | JOURNAL OF FLUID MECHANICS
WoS CC Cited Count: 1 SCOPUS Cited Count: 2
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Droplet dynamics in microfluidic applications is significantly influenced by surfactants. It remains a research challenge to model and simulate droplet behaviour including deformation, breakup and coalescence, especially in the confined microfluidic environment. Here, we propose a hybrid method to simulate interfacial flows with insoluble surfactants. The immiscible two-phase flow is solved by an improved lattice Boltzmann colour-gradient model which incorporates a Marangoni stress resulting from non-uniform interfacial tension, while the convection-diffusion equation which describes the evolution of surfactant concentration in the entire fluid domain is solved by a finite difference method. The lattice Boltzmann and finite difference simulations are coupled through an equation of state, which describes how surfactant concentration influences interfacial tension. Our method is first validated for the surfactant-laden droplet deformation in a three-dimensional (3D) extensional flow and a 2D shear flow, and then applied to investigate the effect of surfactants on droplet dynamics in a 3D shear flow. Numerical results show that, at low capillary numbers, surfactants increase droplet deformation, due to reduced interfacial tension by the average surfactant concentration, and non-uniform effects from non-uniform capillary pressure and Marangoni stresses. The role of surfactants on the critical capillary number (Ca-cr) of droplet breakup is investigated for various confinements (defined as the ratio of droplet diameter to wall separation) and Reynolds numbers. For clean droplets, Cacr first decreases and then increases with confinement, and the minimum value of Ca-cr is reached at a confinement of 0.5; for surfactant-laden droplets, Ca-cr exhibits the same variation in trend for confinements lower than 0.7, but, for higher confinements, Ca-cr is almost a constant. The presence of surfactants decreases Ca-cr for each confinement, and the decrease is also attributed to the reduction in average interfacial tension and non-uniform effects, which are found to prevent droplet breakup at low confinements but promote breakup at high confinements. In either clean or surfactant-laden cases, Ca-cr first remains almost unchanged and then decreases with increasing Reynolds number, and a higher confinement or Reynolds number favours ternary breakup. Finally, we study the collision of two equal-sized droplets in a shear flow in both surfactant-free and surfactant-contaminated systems with the same effective capillary numbers. It is identified that the non-uniform effects in the near-contact interfacial region immobilize the interfaces when two droplets are approaching each other and thus inhibit their coalescence.

Keyword :

breakup/coalescence computational methods capillary flows

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GB/T 7714 Liu, Haihu , Ba, Yan , Wu, Lei et al. A hybrid lattice Boltzmann and finite difference method for droplet dynamics with insoluble surfactants [J]. | JOURNAL OF FLUID MECHANICS , 2018 , 837 : 381-412 .
MLA Liu, Haihu et al. "A hybrid lattice Boltzmann and finite difference method for droplet dynamics with insoluble surfactants" . | JOURNAL OF FLUID MECHANICS 837 (2018) : 381-412 .
APA Liu, Haihu , Ba, Yan , Wu, Lei , Li, Zhen , Xi, Guang , Zhang, Yonghao . A hybrid lattice Boltzmann and finite difference method for droplet dynamics with insoluble surfactants . | JOURNAL OF FLUID MECHANICS , 2018 , 837 , 381-412 .
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Regularized lattice Boltzmann model for immiscible two-phase flows with power-law rheology EI SCIE PubMed Scopus
期刊论文 | 2018 , 97 (3) | PHYSICAL REVIEW E
WoS CC Cited Count: 1 SCOPUS Cited Count: 1
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In this work, a regularized lattice Boltzmann color-gradient model is developed for the simulation of immiscible two-phase flows with power-law rheology. This model is as simple as the Bhatnagar-Gross-Krook (BGK) color-gradient model except that an additional regularization step is introduced prior to the collision step. In the regularization step, the pseudo-inverse method is adopted as an alternative solution for the nonequilibrium part of the total distribution function, and it can be easily extended to other discrete velocity models no matter whether a forcing term is considered or not. The obtained expressions for the nonequilibrium part are merely related tomacroscopic variables and velocity gradients that can be evaluated locally. Several numerical examples, including the single-phase and two-phase layered power-law fluid flows between two parallel plates, and the droplet deformation and break up in a simple shear flow, are conducted to test the capability and accuracy of the proposed color-gradient model. Results show that the present model is more stable and accurate than the BGK color-gradient model for power-law fluids with a wide range of power-law indices. Compared to its multiple-relaxation-time counterpart, the present model can increase the computing efficiency by around 15%, while keeping the same accuracy and stability. Also, the present model is found to be capable of reasonably predicting the critical capillary number of droplet breakup.

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GB/T 7714 Ba, Yan , Wang, Ningning , Liu, Haihu et al. Regularized lattice Boltzmann model for immiscible two-phase flows with power-law rheology [J]. | PHYSICAL REVIEW E , 2018 , 97 (3) .
MLA Ba, Yan et al. "Regularized lattice Boltzmann model for immiscible two-phase flows with power-law rheology" . | PHYSICAL REVIEW E 97 . 3 (2018) .
APA Ba, Yan , Wang, Ningning , Liu, Haihu , Li, Qiang , He, Guoqiang . Regularized lattice Boltzmann model for immiscible two-phase flows with power-law rheology . | PHYSICAL REVIEW E , 2018 , 97 (3) .
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A lattice Boltzmann method for axisymmetric thermocapillary flows EI SCIE Scopus
期刊论文 | 2017 , 104 , 337-350 | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | IF: 3.891
WoS CC Cited Count: 15 SCOPUS Cited Count: 15
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In this work, we develop a two-phase lattice Boltzmann method (LBM) to simulate axisymmetric thermocapillary flows. This method simulates the immiscible axisymmetric two-phase flow by an improved color-gradient model, in which the single-phase collision, perturbation and recoloring operators are all presented with the axisymmetric effect taken into account in a simple and computational consistent manner. An additional lattice Boltzmann equation is introduced to describe the evolution of the axisymmetric temperature field, which is coupled to the hydrodynamic equations through an equation of state. This method is first validated by simulations of Rayleigh-Benard convection in a vertical cylinder and thermocapillary migration of a deformable droplet at various Marangoni numbers. It is then used to simulate the thermocapillary migration of two spherical droplets in a constant applied temperature gradient along their line of centers, and the influence of the Marangoni number (Ca), initial distance between droplets (S-0), and the radius ratio of the leading to trailing droplets (A) on the migration process is systematically studied. As Ma increases, the thermal wake behind the leading droplet strengthens, resulting in the transition of the droplet migration from coalescence to non-coalescence; and also, the final distance between droplets increases with Ma for the non-coalescence cases. The variation of,S-0 does not change the final state of the droplets although it has a direct impact on the migration process. In contrast, A can significantly influence the migration process of both droplets and their final state: at low Ma, decreasing A favors the coalescence of both droplets; at high Ma, the two droplets do not coalesce eventually but migrate with the same velocity for the small values of A, and decreasing A leads to a shorter equilibrium time and a faster migration velocity. (C) 2016 Elsevier Ltd. All rights reserved.

Keyword :

Lattice Boltzmann method Droplet interactions Marangoni number Thermocapillary migration Axisymmetric thermal flow

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GB/T 7714 Liu, Haihu , Wu, Lei , Ba, Yan et al. A lattice Boltzmann method for axisymmetric thermocapillary flows [J]. | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER , 2017 , 104 : 337-350 .
MLA Liu, Haihu et al. "A lattice Boltzmann method for axisymmetric thermocapillary flows" . | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 104 (2017) : 337-350 .
APA Liu, Haihu , Wu, Lei , Ba, Yan , Xi, Guang . A lattice Boltzmann method for axisymmetric thermocapillary flows . | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER , 2017 , 104 , 337-350 .
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Lattice Boltzmann simulation of immiscible two-phase flow with capillary valve effect in porous media EI SCIE Scopus
期刊论文 | 2017 , 53 (5) , 3770-3790 | WATER RESOURCES RESEARCH | IF: 4.361
WoS CC Cited Count: 11 SCOPUS Cited Count: 10
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A new algorithm for imposing the contact angle on solid surfaces is proposed in the Lattice Boltzmann color-gradient model. The capability and accuracy of this algorithm are validated by simulation of contact angles for a droplet resting on a flat surface and on a cylindrical surface. The color-gradient model with the proposed contact angle algorithm is then used to study the capillary valve effect in porous media. As a preliminary study, the capillary valve effect is explained by simulating immiscible two-phase displacement within a single-pore geometry. It is shown that the capillary valve effect is accurately captured by the present simulations. Further simulations of drainage and imbibition are also conducted to understand the capillary valve effect in an experiment-matched pore-network micromodel. The simulated results are found to agree quantitatively with the experimental results reported in literature, except for a few differences which result from the exclusion of contact angle hysteresis in the proposed algorithm.

Keyword :

Lattice Boltzmann method contact angle hysteresis multiphase flow wetting boundary condition pore-scale simulation capillary valve effect

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GB/T 7714 Xu, Zhiyuan , Liu, Haihu , Valocchi, Albert J. . Lattice Boltzmann simulation of immiscible two-phase flow with capillary valve effect in porous media [J]. | WATER RESOURCES RESEARCH , 2017 , 53 (5) : 3770-3790 .
MLA Xu, Zhiyuan et al. "Lattice Boltzmann simulation of immiscible two-phase flow with capillary valve effect in porous media" . | WATER RESOURCES RESEARCH 53 . 5 (2017) : 3770-3790 .
APA Xu, Zhiyuan , Liu, Haihu , Valocchi, Albert J. . Lattice Boltzmann simulation of immiscible two-phase flow with capillary valve effect in porous media . | WATER RESOURCES RESEARCH , 2017 , 53 (5) , 3770-3790 .
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A fast iterative scheme for the linearized Boltzmann equation SCIE Scopus
期刊论文 | 2017 , 338 , 431-451 | JOURNAL OF COMPUTATIONAL PHYSICS | IF: 2.864
WoS CC Cited Count: 5 SCOPUS Cited Count: 5
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Iterative schemes to find steady-state solutions to the Boltzmann equation are efficient for highly rarefied gas flows, but can be very slow to converge in the near-continuum flow regime. In this paper, a synthetic iterative scheme is developed to speed up the solution of the linearized Boltzmann equation by penalizing the collision operator L into the form L = (L + N delta h) - N delta h, where delta is the gas rarefaction parameter, h is the velocity distribution function, and N is a tuning parameter controlling the convergence rate. The velocity distribution function is first solved by the conventional iterative scheme, then it is corrected such that the macroscopic flow velocity is governed by a diffusion-type equation that is asymptotic-preserving into the Navier Stokes limit. The efficiency of this new scheme is assessed by calculating the eigenvalue of the iteration, as well as solving for Poiseuille and thermal transpiration flows. We find that the fastest convergence of our synthetic scheme for the linearized Boltzmann equation is achieved when N delta is close to the average collision frequency. The synthetic iterative scheme is significantly faster than the conventional iterative scheme in both the transition and the near-continuum gas flow regimes. Moreover, due to its asymptotic-preserving properties, the synthetic iterative scheme does not need high spatial resolution in the near-continuum flow regime, which makes it even faster than the conventional iterative scheme. Using this synthetic scheme, with the fast spectral approximation of the linearized Boltzmann collision operator, Poiseuille and thermal transpiration flows between two parallel plates, through channels of circular/rectangular cross sections and various porous media are calculated over the whole range of gas rarefaction. Finally, the flow of a Ne-Ar gas mixture is solved based on the linearized Boltzmann equation with the Lennard-Jones intermolecular potential for the first time, and the difference between these results and those using the hard-sphere potential is discussed. (C) 2017 The Authors. Published by Elsevier Inc.

Keyword :

Linearized Boltzmann equation Rarefied gas dynamics Synthetic iterative scheme Gas mixture Lennard-Jones potential

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GB/T 7714 Wu, Lei , Zhang, Jun , Liu, Haihu et al. A fast iterative scheme for the linearized Boltzmann equation [J]. | JOURNAL OF COMPUTATIONAL PHYSICS , 2017 , 338 : 431-451 .
MLA Wu, Lei et al. "A fast iterative scheme for the linearized Boltzmann equation" . | JOURNAL OF COMPUTATIONAL PHYSICS 338 (2017) : 431-451 .
APA Wu, Lei , Zhang, Jun , Liu, Haihu , Zhang, Yonghao , Reese, Jason M. . A fast iterative scheme for the linearized Boltzmann equation . | JOURNAL OF COMPUTATIONAL PHYSICS , 2017 , 338 , 431-451 .
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