WAVE-EQUATION MODEL FOR FINITE-ELEMENT TIDAL COMPUTATIONS

被引：274

作者：

LYNCH, DR

GRAY, WG

机构：

[1] Thayer School of Engineering, Dartmouth College, Hanover

[2] Water Resources Program, Department of Civil Engineering, Princeton University, Princeton

来源：

COMPUTERS & FLUIDS | 1979年 / 7卷 / 03期

关键词：

D O I：

10.1016/0045-7930(79)90037-9

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A shallow water wave equation is developed from the primitive two-dimensional shallow water equation. A finite element model based on this equation and the primitive momentum equation is developed. A finite difference formulation is used in the time domain which allows the model to be implicit or explicit while still centered in time. Results obtained with linear triangles and quadratic quadrilaterals are reported, and compare well with analytic solutions. The model incorporates all of the economical advantages of earlier models, and errors due to short wavelength spatial noise are suppressed without recourse to artificial means. © 1979.

引用

页码：207 / 228

页数：22

共 15 条

[1] Pritchard, Two Dimensional Models. Chap. 11-2 of Estuarine Modelling: An Assessment, Water Quality Office, Environmental Protection Agency, (1971)
[2] Adey, Numerical Prediction of Transient Water Quality and Tidal Motion in Estuaries and Coastal Waters, Ph.D. Thesis, (1974)
[3] Connor, Wang, Finite element modelling of hydrodynamic circulation, Numerical Methods in Fluid Dynamics, (1974)
[4] King, Norton, Iceman, A finite element solution for two-dimensional stratified flow problems, Finite Elements in Fluids, 7, (1975)
[5] Brebbia, Partridge, Finite element models for circulation studies, Mathematical Models for Environmental Problems, (1976)
[6] Brebbia, Partridge, Finite element simulation of water circulation in the North Sea, Appl. Math. Modelling, 1, 2, (1976)
[7] Wang, Connor, Mathematical Modelling of Near Coastal Circulation, MIT Parsons Laboratory Report No. 200, (1975)
[8] Gray, Lynch, Time-stepping schemes for finite element tidal model computations, Advances in Water Resources, 1, 2, (1977)
[9] Pinder, Gray, Finite Element Simulation in Surface and Subsurface Hydrology, (1977)
[10] Zienkiewicz, The Finite Element Method in Engineering Science, (1971)

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