A Higher Order Upwind Scheme for Three-Dimensional Finite Difference Model of Conservative Pollutants Transport

被引：0

作者：

Liu Yuling ^{[1
]}

Gao Sheng ^{[1
]}

机构：

[1] Xian Univ Technol, Inst Water Conservancy & Hydraul Engn, Xian 710048, Shanxi, Peoples R China

来源：

2010 ASIA-PACIFIC POWER AND ENERGY ENGINEERING CONFERENCE (APPEEC) | 2010年

关键词：

convection-diffusion equation; a higher order upwind scheme; finite difference method; ADVECTION-DIFFUSION EQUATION; CONVECTION;

D O I：

暂无

中图分类号：

TE [石油、天然气工业]; TK [能源与动力工程];

学科分类号：

0807 ; 0820 ;

摘要：

A three-dimensional finite difference transport model appropriate for the coastal environment is developed for the solution of the three-dimensional convection-diffusion equation. A higher order upwind scheme is used for the convective terms of the convection-diffusion equation, to minimize the numerical diffusion. The validity of the numerical model is verified through a test problem, whose exact solutions are known.

引用

页数：3

共 9 条

[1]

Barrett K. S., 1982, NUMERICAL MODELING D

[2] MODIFIED FORMS OF THE 3RD-ORDER CONVECTION, 2ND-ORDER DIFFUSION SCHEME FOR THE ADVECTION-DIFFUSION EQUATION [J].

CHEN, YP ;

FALCONER, RA .

ADVANCES IN WATER RESOURCES, 1994, 17 (03) :147-170

[3]

Gentry R.A., 1966, J COMPUT PHYS, V8, P55

[4] THE STABILITY OF EXPLICIT EULER TIME-INTEGRATION FOR CERTAIN FINITE-DIFFERENCE APPROXIMATIONS OF THE MULTI-DIMENSIONAL ADVECTION DIFFUSION EQUATION [J].

HINDMARSH, AC ;

GRESHO, PM ;

GRIFFITHS, DF .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1984, 4 (09) :853-897

[5]

Lam D. C., 1975, WATER POLLUT, V25, P75

[6] AN ALGORITHM FOR 3-DIMENSIONAL CONVECTION AND DIFFUSION WITH VERY DIFFERENT HORIZONTAL AND VERTICAL LENGTH SCALES [J].

LARDNER, RW ;

SONG, Y .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1991, 32 (06) :1303-1319

[7] SIMPLE HIGH-ACCURACY RESOLUTION PROGRAM FOR CONVECTIVE MODELING OF DISCONTINUITIES [J].

LEONARD, BP .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1988, 8 (10) :1291-1318

[8] STABLE AND ACCURATE CONVECTIVE MODELING PROCEDURE BASED ON QUADRATIC UPSTREAM INTERPOLATION [J].

LEONARD, BP .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1979, 19 (01) :59-98

[9]

Shankar N. J., 1996, INT J OCEAN ENG, V24, P785

← 1 →