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Lattice Boltzmann model for shallow water in curvilinear coordinate grid

Journal of Hydrodynamics 2017年第2期29卷 251-260页

作者：赵庄明黄平李少钿 South China Institute of Environmental Sciences the Ministry of Environmental Protection of PRC Department of Environmental Science School of Environmental Science and EngineeringSun Yat-sen University

In this study, a multi-relaxation time lattice Boltzmann model for shallow water in a curvilinear coordinate grid is developed using the generalized form of the interpolation supplemented lattice Boltzmann method. The Taylor-Colette flow tests show that the proposed model enjoys a second order accuracy in space. The proposed model is applied to three types of meandering channels with 180°, 90°and 60° consecutive bends. The numerical results demonstrate that the simulated results agree well with previous computational and experimental data. In addition, the model can achieve the acceptable accuracy in terms of the water depth and the depth-averaged velocities for shallow water flows in curved and meandering channels over a wide range of bend angles.

关键词： curvilinear coordinate lattice Boltzmann method meandering flow multi-relaxation-time model shallow water

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NUMERICAL SIMULATION OF 2-D TIDAL FLOW AND WATER QUALITY UNDER THE curvilinear coordinateS

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Journal of Hydrodynamics 1994年第3期6卷 78-84页

作者： Wang Jia-heDept. of Hydro-power Engineering, Hohai Univ. , Nanjing 210098, P. R. ChinaWang ChaoDept. of Environmental Engineering, Hohai Univ. , Nanjing 210098, P. R. China

This paper presents a numerical method to simulate the 2-D tidal flow and water quality under the curvilinear coordinates. In order to overcome the computational difficulties in natural rivers, such as the complicated boundary figures, the great disparity between length and width of computational domain, etc. , boundary-fitted grid is used, the irregular domain in physical plane is transformed into a rectangular domain in transformed plane, and the depth-averaged momentum equations and mass equation are rewritten and discretized based on the finite volume techniques in curvilinear coordinates. Practical application of the method is illustrated by an example for the Dachangzhen Section of the Yangtze River. A fair agreement between the values measured and computed demonstrates the validity of the method developed.

关键词： curvilinear coordinate boundary-fitted grid numerical simulation flow water quality tidal river.

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NUMERICAL SIMULATION OF TWO-DIMENSIONAL DAM-BREAK FLOWS IN CURVED CHANNELS

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Journal of Hydrodynamics 2007年第6期19卷 726-735页

作者： BAI Yu-chuan XU Dong LU Dong-qiang Institute for Sediment on River and Coast 300072 China Shanghai Institute of Applied Mathematics Engineering School of Civil Engineering Tianjin University Tianjin and Mechanics Shanghai University Shanghai 200072 China

Two-dimensional transient dam-break flows in a river with bends were theoretically studied. The river was modeled as a curved channel with a constant width and a flat bottom. The water was assumed to be an incompressible and homogeneous fluid. A channel-fitted orthogonal curvilinear coordinate system was established and the corresponding two-dimensional shallow-water equations were derived for this system. The governing equations with well-posed initial and boundary conditions were numerically solved in a rectangular domain by use of the Godunov-type finite-difference scheme, which can capture the hydraulic jump of dam-break flows. The comparison between the obtained numerical results and the experimental data of Miller and Chaudry in a semicircle channel shows the validity of the present numerical scheme. The mathematical model and the numerical method were applied to the dam-break flows in channels with various curvatures. Based on the numerical results, the influence of river curvatures on the dam-break flows was analyzed in details.

关键词： dam-break flow shallow-water equations,channel bend curvilinear coordinate Godunov-type finite-difference scheme

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Seismic wavefield modeling in media with fluid-filled fractures and surface topography

Seismic wavefield modeling in media with fluid-filled fractu...

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中国科学院地质与地球物理研究所2012年度（第12届）学术年会

作者： Lan Hai-Qiang Zhang Zhong-Jie State Key Laboratory of Lithospheric Evolution Institute of Geology and GeophysicsChinese Academy of Sciences Graduate School of Chinese Academy of Sciences

We present a finite difference(FD) method for the simulation of seismic wave fields in fractured medium with an irregular(non-flat) free surface which is beneficial for interpreting exploration data acquired in mountainous *** are introduced through the Coates-Schoenberg approach into the FD scheme which leads to local anisotropic properties of the media where fractures are *** implement surface topography,we take advantage of the boundary-conforming grid and map a rectangular grid onto a curved *** use a stable and explicit second-order accurate finite difference scheme to discretize the elastic wave equations(in a curvilinear coordinate system) in a 2D heterogeneous transversely isotropic medium with a horizontal axis of symmetry(HTI).Efficiency tests performed by different numerical experiments clearly illustrate the influence of an irregular free surface on seismic wave propagation in fractured media which may be significant to mountain seismic *** tests also illustrate that the scattered waves induced by the tips of the fracture are re-scaltered by the features of the free surface *** scattered waves provoked by the topography are re-scattered by the fractures,especially Rayleigh wave scattering whose amplitudes are much larger than others and making it very difficult to identify effective information from the fractures.

关键词： finite difference modeling fracture irregular free surface curvilinear coordinate

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