基于广义垂线坐标系的三维非结构数学模型及其在珠江口的应用

doi:10.14042/j.cnki.32.1309.2019.06.012

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (4537 KB) HTML ()
输出: BibTeX | EndNote (RIS)

摘要基于广义垂线坐标变换，构建了非结构网格的三维水动力数学模型。模型采用半隐式有限体积法对控制方程进行数值离散，其中半隐式法用于水位梯度和垂向紊动扩散以及垂向对流项的离散，显式控制体积分法用于水平对流项等的离散。广义垂线坐标系使得模型能够灵活地对垂向网格进行布置，平面非结构网格使得模型能够适应河口海岸复杂的岸线，并可对局部进行网格加密。模型通过具有解析解的风生流和异重流对模型进行检验，应用模型模拟了珠江口的三维潮流过程，计算结果与实测水文数据的比较表明，模型能够较好地模拟珠江河口的盐水楔和三维分层水动力过程。

	服务

	把本文推荐给朋友
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	王志力
	耿艳芬
	陆永军
	莫思平
	季荣耀

关键词 ：广义垂线坐标系, 非结构网格, 三维模型, 半隐式模式, 珠江口

Abstract：Based on the generalized vertical coordinate,an unstructured grid numerical method is developed to simulate three-dimensional shallow water flow. The semi-implicated finite difference and finite volume discretization are applied to the momentum equations and conservation equation,such that the model is robust,stable and mass conservation is satisfied both locally and globally. Since unstructured mesh and generalized vertical grid,the proposed numerical model is well suited to fit complicated estuaries and coastal boundaries and yet is sufficiently flexible to set the vertical layers. The test cases of wind-driven currents and lock exchange flow are used to demonstrate the model's capabilities. Comparisons between numerical results and analytical data are presented. The Pearl River Estuaries is modeled and is verified and calibrated with field measurement data. The computed results mimic the field data well.

Key words： generalized vertical coordinate unstructured mesh three-dimensional model semi-implicated method Pearl River Estuaries

收稿日期: 2019-01-10

中图分类号:

TV122

基金资助:国家重点研发计划资助项目（2017YFC1404204）；国家自然科学基金资助项目（51779150；51520105014）

作者简介: 王志力(1977-),男,河南商城人,教授级高级工程师,博士,主要从事水动力数值模拟方面研究。E-mail:zlwang@nhri.cn

引用本文:

王志力, 耿艳芬, 陆永军, 莫思平, 季荣耀. 基于广义垂线坐标系的三维非结构数学模型及其在珠江口的应用[J]. 水科学进展, 2019, 30(6): 882-891. WANG Zhili, GENG Yanfen, LU Yongjun, MO Siping, JI Rongyao. A generalized vertical coordinate three-dimensional unstructured mesh model with application to Pearl River Estuaries. Advances in Water Science, 2019, 30(6): 882-891.

链接本文:

http://journal16.magtechjournal.com/Jweb_skxjz/CN/10.14042/j.cnki.32.1309.2019.06.012 或 http://journal16.magtechjournal.com/Jweb_skxjz/CN/Y2019/V30/I6/882

[1]	GERDES R. A primitive equation ocean circulation model using a general vertical coordinate transformation:1:description and testing of the model[J]. Journal of Geophysical Research Oceans, 1993, 98(C8):14683-14701.
[2]	MELLOR G L, EZER T, OEY L. The pressure gradient conundrum of sigma coordinate ocean models[J]. Journal of Atmospheric and Oceanic Technology, 1994, 11(4):1126-1134.
[3]	MELLOR G L, OEY L, EZER T. Sigma coordinate pressure gradient errors and the seamount problem[J]. Journal of Atmospheric and Oceanic Technology, 1998, 15(5):1122-1131.
[4]	BELL M J. Vortex stretching and bottom torques in the Bryan-Cox ocean circulation model[J]. Journal of Geophysical Research, 1999, 104(c10):23545-23563.
[5]	EZER T, MELLOR G L. A generalized coordinate ocean model and a comparison of the bottom boundary layer dynamics in terrain-following and in z-level grids[J]. Ocean Modelling, 2004, 6(3/4):379-403.
[6]	ZHANG Y, BAPTISTA A M. SELFE:a semi-implicit Eulerian-Lagrangian finite-element model for cross-scale ocean circulation[J]. Ocean Modelling, 2008, 21(3):71-96.
[7]	MELLOR G, HÄKKINEN S, EZER T, et al. A generalization of a sigma coordinate ocean model and an intercomparison of model vertical grids[M]//PINARDI N, WOODS J. Ocean Forecasting:Conceptual Basis and Applications. Berlin:Springer-Verlag, 2010.
[8]	ZIJLEMA M, STELLING G S. Efficient computation of surf zone waves using the nonlinear shallow water equations with non-hydrostatic pressure[J]. Coastal Engineering, 2008, 55(10):780-790.
[9]	ZIJLEMA M, STELLING G S. Further experiences with computing non-hydrostatic free-surface flows involving water waves[J]. International Journal for Numerical Methods in Fluids, 2005, 48(2):169-197.
[10]	PIETRZAK J, JAKOBSON J B, BURCHARD H, et al. A three-dimensional hydrostatic model for coastal and ocean modelling using a generalised topography following co-ordinate system[J]. Ocean Modelling, 2002, 4(2):173-205.
[11]	DELEERSNIJDER E, RUDDICK K, KEVIN G. A generalised vertical coordinate for 3-D marine problems[J]. Bulletin De La Société Royale Des Sciences De liège, 1992, 61:489-502.
[12]	GENG Y F, WANG Z L. A coastal ocean model of semi-implicit finite volume unstructured grid[J]. China Ocean Engineering, 2012, 26(2):277-290.
[13]	WANG Z L, GENG Y F. A three-dimensional semi-implicit unstructured grid finite volume ocean model[J]. Acta Oceanologica Sinica, 2013, 32(2):68-78.
[14]	CASULLI V. Semi-implicit finite difference methods for the two-dimensional shallow water equations[J]. Journal of Computational Physics, 1990, 86:56-74.
[15]	CASULLI V, WALTERS G A. An unstructured grid, three-dimensional model based on the shallow water equations[J]. International journal for numerical methods in fluids, 2000, 32:331-348.
[16]	WANG Z L, GENG Y F. Two-dimensional shallow water equations with porosity and their numerical scheme on unstructured grids[J]. Water Science and Engineering, 2013, 6(1):91-105.
[17]	MATSOUKIS M, PAPADOPOLIS-DEZORZIS A. Three-dimensional characteristics model of wind-generated turbulent flow[J]. Journal of Hydraulic Engineering, ASCE, 1992, 118:1526-1545.
[18]	YIH C. Stratified flows[M]. New York:Academic Press, 1980:436.
[19]	王志力.珠江三角洲网河潮流动力对地形变化的响应研究[R].南京:南京水利科学研究院, 2010.(WANG Z L. Study on the response of tidal currents in the Pearl River Delta to topographic changes[R]. Nanjing:Nanjing Hydraulic Research Institute, 2010.(in Chinese))