An unstructured mesh two-dimensional coastal and estuarine hydrodynamic numerical model and its application

CHEN Bing-rui; ZHU Jian-rong; WU Hui; LI Lu; WANG Biao

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CHEN Bing-rui, ZHU Jian-rong, WU Hui, LI Lu, WANG Biao. An unstructured mesh two-dimensional coastal and estuarine hydrodynamic numerical model and its application[J]. Haiyang Xuebao, 2010, 32(2): 31-39.

Citation:

CHEN Bing-rui, ZHU Jian-rong, WU Hui, LI Lu, WANG Biao. An unstructured mesh two-dimensional coastal and estuarine hydrodynamic numerical model and its application[J]. Haiyang Xuebao, 2010, 32(2): 31-39.

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An unstructured mesh two-dimensional coastal and estuarine hydrodynamic numerical model and its application

State Key Laboratory of Estuarine and Coastal Research, East China Normal University Shanghai 200062,China

Received Date: 2009-04-15
Rev Recd Date: 2009-11-18

Abstract

Abstract

In order to perfectly fit complex coastlines and project structures in coastal and estuarine areas, an unstructured mesh two-dimensional coastal and estuarine hydrodynamic numerical model is established. Finite-volume method is used in spatial discretization to guarantee conservation and predictor-corrector method is used in temporal to improve accuracy. Elevation is solved at the centre of the triangular cell by continuity equation, while horizontal x-direction and y-direction velocities are solved at the middle of grid sides by momentum equations.In calculating velocity advection, TVD scheme is adopted. TVD flux of velocity advection is a combination of the first-order upwind flux and a second-order scheme flux.The proportion of each flux contributing to TVD flux is decided by the local velocity distribution. TVD scheme is low-diffusive and non-dispersive, which improves the stability of the model. Observed data are used to validate the model. Results show that elevation, flow velocity and flow direction are all well matched between calculated values and observed ones.
- unstructured mesh,
- hydrodynamic numerical model,
- TVD scheme

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References(21)

References

朱建荣.海洋数值计算方法和数值模式[M].北京:海洋出版社,2003.

BLUMBERG A F, MELLOR G. A Description of a Three-Dimensional Coastal Ocean Circulation Model[M]. Washington, DC: American Geophysical Union,1987.

LYNCH D R, NAIMIE C E. The M₂ tide and its residual on the outer banks of the Gulf of Maine[J]. J Phys Oceanogr, 1993, 23: 2222—2253.

NAIMIE C E. Georges Bank residual circulation during weak and strong stratification periods: Prognostic numerical model results[J]. J Geophys Res, 1996, 101(C3): 6469—6486.

PAIN C C, PIGGOTT M D, GODDARD A J H, et al. Three-dimensional unstructured mesh ocean modeling[J]. Ocean Modelling, 2005, 10: 5—33.

CHEN C, LIU H, BEARDSLEY R C. An unstructured grid, finite-volume, three-dimensional, primitive equation ocean model: Application to coastal ocean and estuaries[J]. Journal of Atmospheric and Oceanic Technology, 2003, 20:159—186.

CASSULI V, ZANOLLI P. Semi-implicit numerical modeling of nonhydrostatic free-surface flows for environmental problems[J]. Mathematical and Computer Modelling, 2002, 36: 1131—1149.

CASSULI V, ZANOLLI P. High resolution methods for multidimensional Advection-diffusion Problems in free-surface hydrodynamics [J]. Ocean Modelling, 2005, 10: 137—151.

HAM D A, PIETRZAK J, STELLING G S. A scalable unstructured grid 3-dimensional finite volume model for the shallow water equations [J]. Ocean Modelling, 2004, 10: 153—169.

HAM D A, KRAMER S C, STELLING G S, et al. The symmetry and stability of unstructured mesh C-grid shallow water models under the influence of Coriolis [J]. Ocean Modelling, 2007, 16: 47—60.

ZHANG Y, BAPTISTA A M, MYERS E P. A cross-scale model for 3D baroclinic circulation in estuary-plume-shelf systems: Ⅰ. Formulation and skill assessment [J]. Continental Shelf Research, 2004, 24: 2187—2214.

赵棣华,戚晨,庾维德,等.平面二维水流-水质有限体积法及黎曼近似解模型[J]. 水科学进展,2000,11(4):368—374.

李未,张长宽,王如云.基于无结构网格有限体积法的风暴潮数值预报模式[J]. 热带海洋学报,2007,26(2):9—14.

JAMES I D. Advection schemes for shelf sea models [J]. Journal of Marine Systems, 1996, 8: 237—254.

SWEBY P K. High resolution schemes using flux limiters for hyperbolic conservation laws[J]. SIAM J Numer Anal,1984, 21: 995—1011

ROE P L. Characteristic-based scheme for the Euler equations[J]. Ann Rev Fluid Mech, 1986, 18:337-365

YANG H Q, PRZEKWAS A J. A comparative study of advanced shock capturing schemes applied to Burgers' equation[J]. J Comp Phys, 1992, 102:139-159.

REID R Q, BODINE B R. Numerical model for storm surges in Galveston Bay[J]. Journal of the Waterways and Harbors,1968, 94 (WW1): 33—57.

HIBBERD S, PEREGRINE D H. Surf and run-up on a beach: a uniform bore[J]. Journal of Fluid Mechanics, 1979, 95(2):323—345.

LIN B, FALCONER R A. Three-dimensional layer-integrated modeling of estuarine flows with flooding and drying[J]. Estuarine, Coastal and Shelf Science, 1997, 44:737-751.

OEY L Y. A wetting and drying scheme for POM[J]. Ocean Modelling, 2005, 9:133-150.

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