A review on the application of lattice Boltzmann method for melting and solidification problems

Samanta, Runa; Chattopadhyay, Himadri; Guha, Chandan

doi:10.1016/j.commatsci.2022.111288

Cited by 42 publications

(4 citation statements)

References 225 publications

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“…It was used to study fluid flow and fluid-solid interaction in [44,45]. LBM was used for dealing with several other problems like melting and solidification [46], gas transport into rocks [47], hydraulics fracturing [48], multiphase flow through micro-and macropores [49], fracture and flow [50], and finally, drying [51] and desiccation cracks [52].…”

Section: Lattice Boltzmann Methods (Lbm)mentioning

confidence: 99%

Review of Methods to Solve Desiccation Cracks in Clayey Soils

Levatti

2023

Geotechnics

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This paper reviews numerical methods used to simulate desiccation cracks in clayey soils. It examines five numerical approaches: Finite Element (FEM), Lattice Boltzmann (LBM), Discrete Element (DEM), Cellular Automaton (CAM), and Phase Field (PFM) Methods. The paper presents a simplified description of the methods, including their basic numerical formulations. Several factors such as the multiphase nature of soils, heterogeneity, nonlinearities, coupling, scales of analysis, and computational aspects are discussed. The review highlights the characteristics, strengths, and limitations of each method. FEM shows a good capacity to deal with the thermo-hydromechanical behavior of clays when drying that complement well with the ability of DEM to deal with particle interactions as well as LBM, PFM, and CAM to deal with complex crack patterns. The article concludes by reviewing the integration of multiple numerical methods to enhance the simulation of desiccation cracks in clayey soils and proposing what is the best option to continue improving the study of this problem.

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Section: Lattice Boltzmann Methods (Lbm)mentioning

confidence: 99%

Review of Methods to Solve Desiccation Cracks in Clayey Soils

Levatti

2023

Geotechnics

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“…Each split particle is of the same order of magnitude in the initial stage of crystal growth. Under the shear effect of the forced flow, they will continuously split until the end of solidification to refine the microstructures As an application, we have conducted the calculation of the microstructural formation of the second phase nanoparticles in a centrifugal casting experiment of as-cast Cu-Fe-Co alloys [6,7,9]. The relevant physical parameters are as follows: the equilibrium temperature of Fe T M = 1728 K, the solidification equilibrium temperature of Cu is taken as T ∞ = 1356K, the latent heat per unit volume of Fe ∆H = 2.404 × 10 9 J m −3 , the surface tension of Fe is γ 0 = 0.1010 J m −2 , the density of Fe ρ L = 7874 kg m −3 , the specific heat of Fe c p = 477.3 J kg −1 K −1 , the sound velocity V 0 = 4970 m s −1 , the mole mass fraction of Fe M 0 = 56 kg mol −1 , the gas constant R g = 8.314 J kg −1 K −1 , the kinetic coefficient of Fe: µ = 3.09 m s −1 K −1 , the anisotropy parameter of interface kinetics is taken as β = 0.25; and the melt on a disk below it rotates at 300 rpm.…”

Section: Asymptotic Solution and Analysismentioning

confidence: 99%

“…The formation of morphological patterns with respect to the solidification of microstructures is of fundamental significance in materials science and processing engineering. Extensive experimental and theoretical works have been undertaken by the inclusion of various small-scale effects such as interface kinetics, anisotropy, etc., among which convection effects of the forced flow are of utmost importance regarding morphological pattern formation [1][2][3][4][5][6][7]. The treatment of generating convection in experimental frames and practical applications is performed to exert mechanical stirring or electro-magnetic stirring on the melt.…”

Section: Introductionmentioning

confidence: 99%

The Effect of the Shear Flow on Columnar Crystal Growth in an Undercooled Melt

Chen

Jiang

et al. 2022

Metals

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Herein, the effect of the shear flow on the growth of columnar crystals in an undercooled melt is studied. The asymptotic method is used to solve the dynamic model for the growth of a columnar crystal. The resulting asymptotic solution shows that the shear flow significantly changes the interface morphology of the columnar crystal. With the shear effect of the forced flow, the growth rate of the columnar interface increases in the shear direction of the shear flow. As the shear rate of the shear flow further increases, the interface of the columnar crystal is seriously deformed and distorted. The shear flow causes the columnar crystal in the undercooled melt to tend to evolve into smaller crystals in the initial stage of crystal growth. The analytical result provides a prediction of the formation of interface microstructures during solidification through the change of processing parameters.

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“…The LBM is based on microscopic particle models and mesoscopic kinetic equations and enables the modeling of complex multiphysics phenomena in a simple and flexible manner. Recently, Tong et al [ 22 ] used the LBM in the simulation of coupled conduction and radiation heat transfer in composite materials, while Samanta et al [ 23 ] presented the review of the application of the LBM for melting and solidification problems. CA, for example, was recently used for simulation of eutectic transformation during solidification of Al–Si alloys by Gu et al [ 24 ], and for simulation of random diffusion of chloride in concrete under sustained load by Ma and Lin [ 25 ].…”

Section: Introductionmentioning

confidence: 99%

3D Model of Heat Flow during Diffusional Phase Transformations

Łach

Svyetlichnyy

2023

Materials

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The structure of metallic materials has a significant impact on their properties. One of the most popular methods to form the properties of metal alloys is heat treatment, which uses thermally activated transformations that take place in metals to achieve the required mechanical or physicochemical properties. The phase transformation in steel results from the fact that one state becomes less durable than the other due to a change in conditions, for example, temperature. Phase transformations are an extensive field of research that is developing very dynamically both in the sphere of experimental and model research. The objective of this paper is the development of a 3D heat flow model to model heat transfer during diffusional phase transformations in carbon steels. This model considers the two main factors that influence the transformation: the temperature and the enthalpy of transformation. The proposed model is based on the lattice Boltzmann method (LBM) and uses CUDA parallel computations. The developed heat flow model is directly related to the microstructure evolution model, which is based on frontal cellular automata (FCA). This paper briefly presents information on the FCA, LBM, CUDA, and diffusional phase transformation in carbon steels. The structures of the 3D model of heat flow and their connection with the microstructure evolution model as well as the algorithm for simulation of heat transfer with consideration of the enthalpy of transformation are shown. Examples of simulation results of the growth of the new phase that are determined by the overheating/overcooling and different model parameters in the selected planes of the 3D calculation domain are also presented.

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A review on the application of lattice Boltzmann method for melting and solidification problems

Cited by 42 publications

References 225 publications

Review of Methods to Solve Desiccation Cracks in Clayey Soils

Review of Methods to Solve Desiccation Cracks in Clayey Soils

The Effect of the Shear Flow on Columnar Crystal Growth in an Undercooled Melt

3D Model of Heat Flow during Diffusional Phase Transformations

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