Truncation errors of selected finite difference methods for two-dimensional advection-diffusion equation with mixed derivatives

被引：6

作者：

Kalinowska, Monika B. ^{[1
]}

Rowinski, Pawel M. ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Geophys, PL-01452 Warsaw, Poland

来源：

ACTA GEOPHYSICA | 2007年 / 55卷 / 01期

关键词：

truncation error; numerical diffusion; numerical dispersion; modified equation approach; advection-diffusion equation;

D O I：

10.2478/s11600-006-0046-3

中图分类号：

P3 [地球物理学]; P59 [地球化学];

学科分类号：

0708 ; 070902 ;

摘要：

with use of a two- dimensional advection- diffusion equation with the included off-diagonal dispersion coefficients. This paper presents the calculation of truncation errors, namely numerical diffusion and numerical dispersion for various finite difference schemes. The accuracy of the considered finite- difference approximations is analysed by deriving and studying the relevant modified partial differential equation.

引用

页码：104 / 118

页数：15

共 50 条

[1] Truncation errors of selected finite difference methods for two-dimensional advection-diffusion equation with mixed derivatives
Monika B. Kalinowska
Paweł M. Rowiński
[J]. Acta Geophysica, 2007, 55 : 104 - 118
[2] FINITE-DIFFERENCE METHODS FOR SOLVING THE TWO-DIMENSIONAL ADVECTION DIFFUSION EQUATION
NOYE, BJ
TAN, HH
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1989, 9 (01) : 75 - 98
[3] Stochastic solutions for the two-dimensional advection-diffusion equation
Wang, XL
Xiu, DB
Karniadakis, GE
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2004, 26 (02): : 578 - 590
[4] Explicit Finite Difference Methods for the Solution of the One Dimensional Time Fractional Advection-Diffusion Equation
Al-Shibani, F. S.
Ismail, A. I. Md
Abdullah, F. A.
[J]. PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY, 2014, 1605 : 380 - 385
[5] FINITE-DIFFERENCE APPROXIMATIONS TO THE ADVECTION-DIFFUSION EQUATION
WRIGHT, DG
[J]. TELLUS SERIES A-DYNAMIC METEOROLOGY AND OCEANOGRAPHY, 1992, 44A (03) : 261 - 269
[6] Finite difference approximations for the fractional advection-diffusion equation
Su, Lijuan
Wang, Wenqia
Yang, Zhaoxia
[J]. PHYSICS LETTERS A, 2009, 373 (48) : 4405 - 4408
[7] Weighted finite difference techniques for the one-dimensional advection-diffusion equation
Dehghan, M
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (02) : 307 - 319
[8] A comparison of splines interpolations with standard finite difference methods for one-dimensional advection-diffusion equation
Thongmoon, Montri
Tangmanee, Suwon
Mckibbin, Robert
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2008, 19 (08): : 1291 - 1304
[9] Discretization of two-dimensional advection-diffusion equation with unstructured cell center finite volume method
Transportation College, Southeast University, Nanjing 210096, China
不详
[J]. Jisuan Wuli, 2009, 1 (17-26): : 17 - 26
[10] Positivity-preserving scheme for two-dimensional advection-diffusion equations including mixed derivatives
du Toit, E. J.
O'Brien, M. R.
Vann, R. G. L.
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2018, 228 : 61 - 68

← 1 2 3 4 5 →