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Lattice Boltzmann method for Conduction and Radiation Heat Transfer in Composite Materials

Journal of Thermal Science 2022年第3期31卷 777-789页

作者： TONG Zixiang LI Mingjia XIE Tao GU Zhaolin School of Human Settlements and Civil Engineering Xi’an Jiaotong UniversityXi’an710049China School of Energy&Power Engineering Xi’an Jiaotong UniversityKey Laboratory of Thermo-Fluid Science and Engineering of Ministry of EducationXi’an710049China Institute of Industrial Catalysis School of Chemical Engineering and TechnologyXi’an Jiaotong UniversityXi’an710049China

In this work,the utilization of lattice Boltzmann method(LBM)in the simulation of coupled conduction and radiation heat transfer in composite materials is studied.The novel D3Q30-LBM and D3Q38-LBM models are proposed for the simulation of radiative transfer equation(RTE).The LBM-LBM model,coupled finite volume method(FVM)and LBM are compared with the coupled FVM and discrete ordinate method(DOM)for 2D and 3D simulations.The results show that the original D3Q26-LBM is insufficient for the simulation of radiation,and both the D3Q30-LBM and D3Q38-LBM are close to the DOM for the RTE.The LBM can have large errors in the simulation of heat conduction when the relaxation time is large.Thus,its application in the composite materials is limited when the ratio between thermal conductivities of different components is large.The models with LBM for RTE can be more efficient than the FVM-DOM for the simulation of conduction-radiation heat transfer in composite materials.The FVM-D3Q30-LBM model is suggested because of its accuracy and efficiency.

关键词： lattice Boltzmann method conduction-radiation heat transfer discrete directions composite material discrete ordinate method

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A Direct Solver for Initial Value Problems of Rarefied Gas Flows of Arbitrary Statistics

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Communications in Computational Physics 2013年第6期14卷 242-264页

作者： Jaw-Yen Yang Bagus Putra Muljadi Zhi-Hui Li Han-Xin Zhang Institute of Applied Mechanics National Taiwan UniversityTaipei 10764Taiwan FCS STAE Universite Paul SabatierInstitut de math´ematiques de ToulouseToulouse 31400France National Laboratory for Computational Fluid Dynamics Beijing 100191China China Aerodynamics Research and Development Center Mianyang621000China

An accurate and direct algorithm for solving the semiclassical Boltzmann equation with relaxation time approximation in phase space is presented for parallel treatment of rarefied gas flows of particles of three statistics.The discrete ordinate method is first applied to discretize the velocity space of the distribution function to render a set of scalar conservation laws with source term.The high order weighted essentially non-oscillatory scheme is then implemented to capture the time evolution of the discretized velocity distribution function in physical space and time.The method is developed for two space dimensions and implemented on gas particles that obey the Maxwell-Boltzmann,Bose-Einstein and Fermi-Dirac statistics.Computational examples in one-and two-dimensional initial value problems of rarefied gas flows are presented and the results indicating good resolution of the main flow features can be achieved.Flows of wide range of relaxation times and Knudsen numbers covering different flow regimes are computed to validate the robustness of the method.The recovery of quantum statistics to the classical limit is also tested for small fugacity values.

关键词： Semiclassical Boltzmann-BGK equation weighted essentially non-oscillatory discrete ordinate method

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