Higher order finite volume methods on selfadaptive grids for convection dominated reactive transport problems in porous media

2004 ◽  
Vol 7 (1) ◽  
pp. 41-51 ◽  
Author(s):  
Mario Ohlberger
2021 ◽  
Vol 26 (3) ◽  
pp. 04021002
Author(s):  
Yifan Xie ◽  
Zhenze Xie ◽  
Jichun Wu ◽  
Yong Chang ◽  
Chunhong Xie ◽  
...  

2013 ◽  
Author(s):  
Rohan Panchadhara ◽  
Laurent White ◽  
Dimitar Trenev

2014 ◽  
Vol 14 (4) ◽  
pp. 473-483 ◽  
Author(s):  
Milan Dotlić

AbstractWe consider a finite volume method for flow simulations in an anisotropic porous medium in the presence of a well. The hydraulic head varies logarithmically and its gradient changes rapidly in the well vicinity. Thus, the use of standard numerical schemes results in a completely wrong total well flux and an inaccurate hydraulic head. In this article we propose two finite volume methods to model the well singularity in an anisotropic medium. The first method significantly reduces the total well flux error, but the hydraulic head is still not even first-order accurate. The second method gives a second-order accurate hydraulic head and at least first-order accurate total well flux.


2002 ◽  
Vol 25 (5) ◽  
pp. 513-531 ◽  
Author(s):  
Bill X. Hu ◽  
Hai Huang ◽  
Ahmed E. Hassan ◽  
John H. Cushman

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