Two- and three-dimensional nested simulation by using FEM and FVA to analyze flows in an estuary

Citation
L. Yu et al., Two- and three-dimensional nested simulation by using FEM and FVA to analyze flows in an estuary, MATH COMP M, 28(11), 1998, pp. 115-134
Citations number
40
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
28
Issue
11
Year of publication
1998
Pages
115 - 134
Database
ISI
SICI code
0895-7177(199812)28:11<115:TATNSB>2.0.ZU;2-B
Abstract
This paper presents an mixed-dimensional model which was developed to simul ate numerically complex current patterns in a classical horn-type estuary, the Hang-Zhou Bay, situated in the East China's coast line. The multidimens ional mathematical model consists of a three-dimensional finite volume appr oach submodel being nested with a two-dimensional finite element model. The two-dimensional Finite Element Method (FEM) was employed to solve shallow- water equation in whole estuary (far field) and the three-dimensional Finit e Volume Approach (FVA) was utilized to solve nonsimplified Reynolds equati on in the near field of the intake structure of the cooling water system of an electric power plant, namely, the Jia-Xing Electric Power Plant. Reason able agreement was found between modeled currents and observed field data. The results of numerical computations were directly used to analyze the tid al currents, to analyze the effect of a deep pool in front of the intake st ructure, and to predict the possible variation of bottom topography in asso ciation with empirical analyzing and modeling. The established model, explo ited the merits possessed by both FEM and FVA, can provide sufficient detai l of current patterns in natural waters for engineering application, with a reasonable accuracy demanded by a practical problem and at a lower computa tional cost. The development of this computational method provided a feasib le approach for simulating three-dimensional flows in natural waters, which is different from the conventional layered quasi-three-dimensional models. (C) 1998 Elsevier Science Ltd. All rights reserved.