In-situ testing method of the permeability coefficient in a coal seam based on the finite volume method and its application

2022 ◽  
Vol 97 ◽  
pp. 104370
Author(s):  
Minghua Lin ◽  
Baiquan Lin ◽  
Wei Yang ◽  
Yang Zhao ◽  
Zheng Wang
Keyword(s):  
Coal Seam ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Permeability Coefficient ◽  
In Situ Testing ◽  
Testing Method ◽  
Volume Method

scholarly journals A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws

2018 ◽  
Vol 40 (1) ◽  
pp. 405-421 ◽  
Author(s):  
N Chatterjee ◽  
U S Fjordholm
Keyword(s):  
Initial Data ◽  
Conservation Laws ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Numerical Examples ◽  
Continuity Equations ◽  
Multiple Dimensions ◽  
Nonlocal Conservation Laws ◽  
Volume Method ◽  
Singular Data

Abstract We derive and study a Lax–Friedrichs-type finite volume method for a large class of nonlocal continuity equations in multiple dimensions. We prove that the method converges weakly to the measure-valued solution and converges strongly if the initial data is of bounded variation. Several numerical examples for the kinetic Kuramoto equation are provided, demonstrating that the method works well for both regular and singular data.

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