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A joint absorbing boundary for the multiple-relaxation-time lattice Boltzmann method in seismic acoustic wavefield modeling

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Petroleum Science 2023年第4期20卷 2113-2126页

作者： Chun-Tao Jiang Hui Zhou Mu-Ming Xia Han-Ming Chen Jin-Xuan Tang State Key Laboratory of Petroleum Resources and Prospecting CNPC Key Lab of Geophysical ExplorationChina University of PetroleumBeijing102249China CAS Engineering Laboratory for Deep Resources Equipment and Technology Institute of Geology and Geophysicsand Innovation Academy for Earth ScienceChinese Academy of SciencesBeijing100029China Research Institute of Petroleum Exploration&Development PetroChinaBeijing100083China

Conventional seismic wave forward simulation generally uses mathematical means to solve the macroscopic wave equation,and then obtains the corresponding seismic ***,when the subsurface structure is finely constructed and the continuity of media is poor,this strategy is difficult to meet the requirements of accurate wavefield *** paper uses the multiple-relaxation-time lattice Boltzmann method(MRT-LBM)to conduct the seismic acoustic wavefield simulation and verify its computational *** cope with the problem of severe reflections at the truncated boundaries,we analogize the viscous absorbing boundary and perfectly matched layer(PML)absorbing boundary based on the single-relaxation-time lattice Boltzmann(SRT-LB)equation to the MRT-LB equation,and further,propose a joint absorbing boundary through comparative *** give the specific forms of the modified MRT-LB equation loaded with the joint absorbing boundary in the two-dimensional(2D)and three-dimensional(3D)cases,***,we verify the effects of this absorbing boundary scheme on a 2D homogeneous model,2D modified British Petroleum(BP)gas-cloud model,and 3D homogeneous model,*** results reveal that by comparing with the viscous absorbing boundary and PML absorbing boundary,the joint absorbing boundary has the best absorption performance,although it is a little bit ***,this joint absorbing boundary better solves the problem of truncated boundary reflections of MRT-LBM in simulating seismic acoustic wavefields,which is pivotal to its wide application in the field of exploration seismology.

关键词： multiple-relaxation-time Lattice Boltzmann method Seismic acoustic wavefield simulation Truncated Boundary reflection Joint absorbing boundary

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Two-dimensional multiple-relaxation-time Lattice Boltzmann model for compressible and incompressible flows

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Frontiers of physics 2014年第2期9卷 246-254页

作者： Feng Chen Ai-Guo Xu Guang-Cai Zhang Yong-Long Wang School of Aeronautics Shan Dong Jiaotong University Jinan 250357 China . .. National Key Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics P. O. Box 8009-26 Beijing 100088 China Institute of Condensed Matter Physics School of Science Linyi University Linyi 276005 China

In the paper we extend the multiple-relaxation-time （MRT） Lattice Boltzmann （LB） model pro- posed in [Europhys. Lctt., 2010, 90： 54003] so that it is suitable also for incompressible flows. To decrease tile artificial oscillations, the convection term is discretized by the flux linfiter scheme with splitting technique. A new model is validated by some well-known benchmark tests, including Rie- mann problem and Couette flow, and satisfying agreements are obtained between the sinmlation results and *** ones. In order to show the merit of LB model over traditional methods, the non-equilibrium characteristics of system are solved. The simulation results are consistent with the physical analysis.

关键词： lattice Boltzmann method multiple-relaxation-time flux limiter technique Prandtlnumbers effect non-equilibrium characteristic

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multiple-relaxation-time lattice Boltzmann model for binary mixtures of nonideal fluids based on the Enskog kinetic theory

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Science Bulletin 2015年第6期60卷 634-647,M0004页

作者： Kang Yang Zhaoli Guo State Key Laboratory of Coal Combustion HuazhongUniversity of Science and Technology Wuhan 430074 China

In this paper, a lattice Boltzmann equation （LBE） model with multiple-relaxation-time （MRT） colli- sion operator is developed based on the Enskog theory for isothermal nonideal mixtures, which is an extension of the previous single relaxation time （SRT） LBE model （Guo and Zhao in Phys Rev E 68：035302, 2003）. The present MRT-LBE model overcomes some inherent defects of the original SRT-LBE model such as the fixed Schmidt num- ber and limited viscosity ratio. It is also interestingly shown that the widely used Shan-Chen （SC） model, which is constructed heuristically based on the pseudo-potential concept, can also be regarded as a special case of the present model, and thus putting a solid foundation for this well-accepted multiphase LBE model. A series of nu- merical simulations, including the static droplet and lay- ered co-current flow, are conducted to test the applicability of the present model for immiscible fluids with different Schmidt numbers and large viscosity ratio, which may be difficult for the original SRT-LBE model and the SC model.

关键词： Lattice Boltzmann equation Enskogequation Bhatnagar-Gross-Krook Singlerelaxation time multiple-relaxation-time

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multiple-relaxation-time finite-difference lattice Boltzmann model for the nonlinear convection-diffusion equation

Multiple-relaxation-time finite-difference lattice Boltzmann...

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第十二届全国流体力学学术会议

作者： Xinmeng Chen Zhenhua Chai Jinlong Shang Baochang Shi School of Mathematics and Statistics Huazhong University of Science and Technology Hubei Key Laboratory of Engineering Modeling and Scientific Computing

In this paper, a multiple-relaxation-time finite-difference lattice Boltzmann method(MRT-FDLBM) is developed for the nonlinear convection-diffusion equation(NCDE). Through designing the equilibrium distribution function and the source term properly, the NCDE can be recovered exactly from MRT-FDLBM. We also conduct the von Neumann stability analysis on the present MRT-FDLBM and its special case, i.e., single-relaxationtime finite-difference lattice Boltzmann method(SRT-FDLBM). Then, a simplified version of MRT-FDLBM(SMRT-FDLBM) is also proposed, which can save about 15% computational cost. In addition, a series of real and complex-value NCDEs, including the isotropic convection-diffusion equation, Burgers-Fisher equation, sine-Gordon equation, heat-conduction equation, and Schr?dinger equation, are used to test the performance of MRT-FDLBM. The results show that both MRT-FDLBM and SMRT-FDLBM have second-order convergence rates in space and time. Finally, the stability and accuracy of five different models are compared, including the MRT-FDLBM, SMRT-FDLBM,SRT-FDLBM, the previous finite-difference lattice Boltzmann method [H. Wang, B. Shi et al., ***. Comput. 309, 334(2017)], and the lattice Boltzmann method(LBM). The stability tests show that the sequence of stability from high to low is as follows: MRT-FDLBM, SMRT-FDLBM,SRT-FDLBM, the previous finite-difference lattice Boltzmann method, and LBM. In most of the precision test results, it is found that the order from high to low of precision is MRT-FDLBM,SMRT-FDLBM, SRT-FDLBM, and the previous finite-difference lattice Boltzmann method.

关键词： lattice Boltzmann method finite-difference multiple-relaxation-time

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Three-dimensional Free-parameter multiple-relaxation-time Lattice Boltzmann Method for Navier-Stokes Equations

Three-dimensional Free-parameter Multiple-Relaxation-Time La...

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第十六届全国交叉科学会议

作者： Feng Chen Aiguo Xu Guangcai Zhang Shan Dong Jiaotong University National Key Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics

A three-dimensional（3D） free-parameter multiple-relaxation-time lattice Boltzmann method for high speed compressible and low speed incompressible flows is *** this approach the transformation matrix is constructed according to the irreducible representation basis functions of SO（3） *** of the nonconserved moments are chosen so as to recover the compressible Navier-Stokes equations through the Chapman-Enskog *** sizes of the discrete velocities are *** influence of model parameters on the numerical stability is analyzed,and some reference values of parameters are *** validate the performance of the proposed model,well-known benchmark problems are *** numerical results are found to be in good agreement with the analytical solutions and/or other numerical results.

关键词： lattice Boltzmann method compressible flows multiple-relaxation-time free-parameter

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Flux Limiter Lattice Boltzmann for Compressible Flows

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Communications in Theoretical Physics 2011年第8期56卷 333-338页

作者：陈峰许爱国张广财李英骏 State Key Laboratory for GeoMechanics and Deep Underground Engineering China University of Mining and Technology(Beijing) National Key Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics

In this paper, a new flux limiter scheme with the splitting technique is successfully incorporated into a multiple-relaxation-time lattice Boltzmann （LB） model for shacked compressible flows. The proposed flux limiter scheme is efficient in decreasing the artificial oscillations and numerical diffusion around the interface. Due to the kinetic nature, some interface problems being difficult to handle at the macroscopic level can be modeled more naturally through the LB method. Numerical simulations for the Richtmyer-Meshkov instability show that with the new model the computed interfaces are smoother and more consistent with physical analysis. The growth rates of bubble and spike present a satisfying agreement with the theoretical predictions and other numerical simulations.

关键词： lattice Boltzmann method flux limiter technique compressible flows multiple-relaxation-time Richtmyer-Meshkov instability

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Viscosity, heat conductivity, and Prandtl number effects in the Rayleigh-Taylor Instability

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Frontiers of physics 2016年第6期11卷 183-196页

作者： Feng Chen Ai-Guo Xu Guang-Cai Zhang School of Aeronautics Shah Dong Jiaotong University Jinan 250357 China National Key Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics P.O. Box 8009-26 Beijing 100088 China Center for Applied Physics and Technology MOE Key center for High Energy Density Physics Simulations College of Engineering Peking University Beijing 100871 China

The two-dimensional Rayleigh-Taylor instability problem is simulated with a multiple-relaxation-time discrete Boltzmann model with a gravity term. Viscosity, heat conductivity, and Prandtl number effects are probed from macroscopic and nonequilibrium viewpoints. In the macro sense, both viscosity and heat conduction show a significant inhibitory effect in the reacceleration stage, which is mainly achieved by inhibiting the development of the Kelvin-Helmholtz instability. Before this, the Prandtl number effect is not sensitive. Viscosity, heat conductivity, and Prandtl number effects on nonequilibrium manifestations and the degree of correlation between the nonuniformity and the nonequilibrium strength in the complex flow are systematically investigated.

关键词： discrete Boltzmann model/method multiple-relaxation-time Rayleigh-Taylor instability nonequilibrium

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Entropy Generation Analysis around Airfoil using Multi-Block Lattice Boltzmann Method

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Advances in Applied Mathematics and Mechanics 2022年第3期14卷 777-798页

作者： Wei Wang Jun Wang Zhiang Li Zhiliang Lin School of Energy and Power Engineering Huazhong University of Science and TechnologyWuhanHubei 430074China Foshan City Nanhai Jiuzhou Popula Fan Co.Ltd FoshanGuangdong 528222China

This present paper proposes aerodynamic forces and entropy generation characteristics on theﬂow past two-dimensional airfoil at low Reynolds number by multiple-relaxation-time lattice Boltzmann method to clarify theﬂow loss *** block mesh reﬁnement was adopted in which a higher accuracy was needed in parts of the domain characterized by complexﬂ*** interpolated bounce-back method was used to treat the irregular *** numerical method can effectively solve the complexﬂowﬁeld simulation problems with reasonable accuracy and reli-ability by simulatingﬂow around plate and *** on second law of thermo-dynamics,an expression of entropy generation rate for arbitrary control volume was derived theoretically which could accurately quantify the local irreversible loss of theﬂowﬁeld at any *** that,a comprehensive numerical study was conducted to analyze relationship of entropy generation and drag force by taking NACA0012 air-foil as the research *** unsteady condition,entropy generation rate and the drag force are not linearly related any *** due to steady effects mainly con-sider the irreversibility in the boundary layer and wake while the unsteady effects come from the interaction between the main separation vortex and the trailing shed-ding vortex.

关键词： Loss mechanism entropy generation ﬂow past airfoil lattice Boltzmann method multiple-relaxation-time block mesh reﬁnement

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Prandtl number effects in MRT lattice Boltzmann models for shocked and unshocked compressible fluids

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Theoretical & Applied Mechanics Letters 2011年第5期1卷 60-63页

作者： Feng Chen,1 Aiguo Xu,2,Guangcai Zhang,2 and Yingjun Li 1,1) State Key Laboratory for GeoMechanics and Deep Underground Engineering,China University of Mining and Technology (Beijing),Beijing 100083,China 2) National Key Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,P.O.Box 8009-26,Beijing 100088,China China Univ Min & Technol Beijing State Key Lab GeoMech & Deep Underground Engn Beijing 100083 Peoples R China Inst Appl Phys & Computat Math Natl Key Lab Computat Phys POB 8009-26 Beijing 100088 Peoples R China

This paper constructs a new multiple relaxation time lattice Boltzmann model which is not only for the shocked compressible fluids,but also for the unshocked compressible *** make the model work for unshocked compressible fluids,a key step is to modify the collision operators of energy flux so that the viscous coefficient in momentum equation is consistent with that in energy equation even in the unshocked *** unnecessity of the modification for systems under strong shock is *** model is validated by some well-known benchmark tests,including thermal Couette flow,Riemann *** first system is unshocked and the latter is *** both systems,the Prandtl number effects are *** agreements are obtained between new model results and analytical ones.

关键词： lattice Boltzmann method compressible flows multiple-relaxation-time Prandtl number

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