Developing an All-speed Finite Volume Method to Predict Short Duration Pressure Peaks of Water Column Separation

2015 ◽  
Author(s):  
Masoud Darbandi ◽  
Amir Beige ◽  
G E. Schneider
Keyword(s):  
Finite Volume Method ◽  
Water Column ◽  
Finite Volume ◽  
Short Duration ◽  
Column Separation ◽  
Volume Method

A second-order Finite Volume Method for pipe flow with water column separation

2017 ◽  
Vol 17 ◽  
pp. 47-55 ◽  
Author(s):  
Ling Zhou ◽  
Huan Wang ◽  
Deyou Liu ◽  
Jiajie Ma ◽  
Pei Wang ◽  
...  
Keyword(s):  
Finite Volume Method ◽  
Water Column ◽  
Finite Volume ◽  
Pipe Flow ◽  
Second Order ◽  
Column Separation ◽  
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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