Analysis and application of Eulerian finite element methods for the transport equation

被引：0

作者：

Hench, JL ^{[1
]}

Luettich, RA ^{[1
]}

机构：

[1] Univ N Carolina, Inst Marine Sci, Morehead City, NC 28557 USA

来源：

ESTUARINE AND COASTAL MODELING | 1998年

关键词：

D O I：

暂无

中图分类号：

U6 [水路运输]; P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

摘要：

A comparison of various Eulerian finite element schemes for the transport equation is made using Fourier analysis. The relative merits of each scheme are discussed and one scheme is selected for a two-dimensional field application. A series of runs are made to test global scalar mass conservation which is found to depend on the complexity of the flow field. Difficulties with global scalar mass conservation are related to local fluid mass errors. The results stress the importance to transport modeling of using hydrodynamic schemes which conserve fluid mass on both a local and global basis.

引用

页码：138 / 152

页数：15

共 19 条

[1]

[Anonymous], FINITE ELEMENT METHO

[2]

[Anonymous], 1982, Finite elements in fluids

[3] STREAMLINE UPWIND PETROV-GALERKIN FORMULATIONS FOR CONVECTION DOMINATED FLOWS WITH PARTICULAR EMPHASIS ON THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].

BROOKS, AN ;

HUGHES, TJR .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 32 (1-3) :199-259

[4] NON-DIFFUSIVE N+2 DEGREE PETROV-GALERKIN METHODS FOR 2-DIMENSIONAL TRANSIENT TRANSPORT COMPUTATIONS [J].

CANTEKIN, ME ;

WESTERINK, JJ .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1990, 30 (03) :397-418

[5]

CAREY GF, 1997, 4 SIAM C MATH COMP I, P69

[6] A Godunov-type finite volume method for the system of Shallow Water Equations [J].

Chippada, S ;

Dawson, CN ;

Martinet, ML ;

Wheeler, MF .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 151 (1-2) :105-129

[7] A COMPARISON OF THE NONLINEAR FRICTIONAL CHARACTERISTICS OF 2-DIMENSIONAL AND 3-DIMENSIONAL MODELS OF A SHALLOW TIDAL EMBAYMENT [J].

GRENIER, RR ;

LUETTICH, RA ;

WESTERINK, JJ .

JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 1995, 100 (C7) :13719-13735

[8] DONT SUPPRESS THE WIGGLES - THEYRE TELLING YOU SOMETHING [J].

GRESHO, PM ;

LEE, RL .

COMPUTERS & FLUIDS, 1981, 9 (02) :223-253

[9] ASPECTS OF NONLINEAR SIMULATIONS USING SHALLOW-WATER MODELS BASED ON THE WAVE CONTINUITY EQUATION [J].

KOLAR, RL ;

WESTERINK, JJ ;

CANTEKIN, ME ;

BLAIN, CA .

COMPUTERS & FLUIDS, 1994, 23 (03) :523-538

[10]

Luettich R., 1992, DRP926 US ARM CORPS, P143

← 1 2 →