Publications
47 results found
Xu H, He Y, 2013, Some iterative finite element methods for steady Navier-Stokes equations with different viscosities, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 232, Pages: 136-152, ISSN: 0021-9991
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- Citations: 48
Luan HB, Xu H, Chen L, et al., 2012, Coupling of finite volume method and thermal lattice Boltzmann method and its application to natural convection, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Vol: 70, Pages: 200-221, ISSN: 0271-2091
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- Citations: 24
He Y, Zhang Y, Shang Y, et al., 2012, Two-level Newton iterative method for the 2D/3D steady Navier-Stokes equations, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Vol: 28, Pages: 1620-1642, ISSN: 0749-159X
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- Citations: 38
Xu H, Malaspinas O, Sagaut P, 2012, Sensitivity analysis and determination of free relaxation parameters for the weakly-compressible MRT-LBM schemes, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 231, Pages: 7335-7367, ISSN: 0021-9991
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- Citations: 28
Wei YK, Qian Y, Xu H, 2012, Lattice boltzmann simulations of single bubble deformation and breakup in a shear flow, Journal of Computational Multiphase Flows, Vol: 4, Pages: 111-118, ISSN: 1757-482X
Lattice Boltzmann method (LBM) is used to simulate the deformation and breakup of single bubble in a shear flow. Numerical simulations of single bubble deformation are qualitatively compared with experimental results in a shear flow. Respectively the rotation angle θ is quantitatively compared with experimental results according to different capillary numbers (Ca), which shows numerical simulations are in agreement with the experimental results and theoretical results. Finally, the breakup process of single bubble in a shear flow is simulated straightforwardly.
Xu H, Luan H, He Y, et al., 2012, A lifting relation from macroscopic variables to mesoscopic variables in lattice Boltzmann method: Derivation, numerical assessments and coupling computations validation, COMPUTERS & FLUIDS, Vol: 54, Pages: 92-104, ISSN: 0045-7930
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- Citations: 22
Xu H, Sagaut P, 2011, Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 230, Pages: 5353-5382, ISSN: 0021-9991
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- Citations: 58
Luan H, Xu H, Chen L, et al., 2011, Coupling of FVM and LBM for natural convection in a square cavity, Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University, Vol: 45, Pages: 78-83, ISSN: 0253-987X
On the basis of the existing density distribution function reconstruction operator, the temperature distribution function reconstruction operator was derived to calculate heat transfer by coupling of the lattice Boltzmann method (LBM) and the finite volume method (FVM). The present coupling method was validated by the 2D natural convection flow in a square cavity with various Rayleigh numbers (Ra) from 103 to 106. The results from the coupling method agree well with those by commercial software FLUENT, and all the physical quantities cross the coupled interface smoothly. According to residual history curves it is likely that the numerical stability of the present method are better than those of the pure LBM at fine grid numbers and high Ra.
Luan HB, Xu H, Chen L, et al., 2011, Coupling between FVM and LBM for fluid flow around a circular cylinder, Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, Vol: 28, Pages: 97-101, ISSN: 1007-4708
A coupling between FVM and LBM (CFVLBM) model is proposed to resolve the flow around a circular cylinder with far-field boundary. LBM with multi-block grid is adopted near the cylinder, while FVM is used far away. Careful comparisons are done between the results of CFVLBM and that of previous publications as well as multi-block LBM, and body-fitted grid LBM. The results show that the CFVLBM are accurate and reliable. Meanwhile, the CFVLBM can greatly improve the computational efficiency.
Luan H-B, Xu H, Chen L, et al., 2011, Evaluation of the coupling scheme of FVM and LBM for fluid flows around complex geometries, INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, Vol: 54, Pages: 1975-1985, ISSN: 0017-9310
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- Citations: 42
Luan HB, Xu H, Chen L, et al., 2010, Numerical Illustrations of the Coupling Between the Lattice Boltzmann Method and Finite-Type Macro-Numerical Methods, NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, Vol: 57, Pages: 147-171, ISSN: 1040-7790
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- Citations: 32
Xu H, Luan H, Tao W, 2009, Reconstruction operator for interface coupling between LBM and macro-numerical methods of finite-family, Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University, Vol: 43, Pages: 6-10, ISSN: 0253-987X
An effective and simple way to reconstruct the lattice Boltzmann method (LBM) distribution functions by macro-scale parameters has been proposed on the basis of the mathematical multiscale-approach in this paper. The reconstruction operator offers a fundamental approach to multiscale computation in engineering application. The numerical computation on lid-driven cavity flow by the coupling between the results of LBM and the finite-volume method (FVM) is performed to verify the proposed reconstruction operator. The computation results are in agreement with the data in literature, and the smoothness of the streamlines in the coupled region is reasonable and the velocity vectors have an exact overlap. In addition, the results show that the present reconstruction operator can be adopted in the coupling computation of LBM and the macro-scale method easily and reliably.
Xu H, Tao W, Zhang Y, 2009, Lattice Boltzmann model for three-dimensional decaying homogeneous isotropic turbulence, PHYSICS LETTERS A, Vol: 373, Pages: 1368-1373, ISSN: 0375-9601
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- Citations: 10
Xu H, Tao WQ, 2009, Simulations of high Reynolds number fluid flow based on entropic boltzmann method, Kung Cheng Je Wu Li Hsueh Pao/Journal of Engineering Thermophysics, Vol: 30, Pages: 129-131, ISSN: 0253-231X
The focus of this paper is on the applicability of entropic lattice Boltzmann method (ELBM) for high Reynolds number fluid flows. ELBM satisfies the second principle of thermodynamics, so ELBM possesses a stronger numerical stability compared with standard lattice Boltzmann method (LBM). In the process of implementing ELBM, the relaxation parameter is modified such that the population distributions of fluid systems satisfy the entropic H-theorem. When the relaxation parameter is adjusted, a nonlinear equation must be solved. So, ELBM need much more computation costs than that of the standard LBM. Based on Ehrenfest's theory, a simple positivity-enforcing constraint is adopted to guarantee the H-theorem. Numerical simulation of the lid-driven fluid flows is conducted to show the feasibility and efficiency of the proposed method.
Xu H, Luan H-B, Tang G-H, et al., 2009, Entropic Lattice Boltzmann Method for high Reynolds number fluid flows, PROGRESS IN COMPUTATIONAL FLUID DYNAMICS, Vol: 9, Pages: 183-193, ISSN: 1468-4349
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- Citations: 2
Xu H, Qian Y-H, Tao W-Q, 2009, Revisiting two-dimensional turbulence by Lattice Boltzmann Method, PROGRESS IN COMPUTATIONAL FLUID DYNAMICS, Vol: 9, Pages: 133-140, ISSN: 1468-4349
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- Citations: 7
Li J, He Y, Xu H, 2007, A multi-level stabilized finite element method for the stationary Navier-Stokes equations, COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, Vol: 196, Pages: 2852-2862, ISSN: 0045-7825
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- Citations: 30
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