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Finite difference methods for solving the two‐dimensional advection–diffusion equation

 

作者: B. J. Noye,   H. H. Tan,  

 

期刊: International Journal for Numerical Methods in Fluids  （WILEY Available online 1989）
卷期: Volume 9, issue 1  

页码: 75-98

 

ISSN:0271-2091

 

年代: 1989

 

DOI:10.1002/fld.1650090107

 

出版商: John Wiley&Sons, Ltd

 

关键词: 2D Advection–diffusion equation;Finite difference method;Weighted discretization;Modified equivalent PDE approach;Stability;Accuracy

 

数据来源: WILEY

 

摘要:

AbstractUsing weighted discretization with the modified equivalent partial differential equation approach, several accurate finite difference methods are developed to solve the two‐dimensional advection–diffusion equation following the success of its application to the one‐dimensional case. These new methods are compared with the conventional finite difference methods in terms of stability and accuracy. The new methods are more accurate and often more stable than the conventional sc

 

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