scholarly journals A finite volume method for scalar conservation laws with stochastic time–space dependent flux functions

2013 ◽  
Vol 237 (1) ◽  
pp. 614-632 ◽  
Author(s):  
Kamel Mohamed ◽  
Mohammed Seaid ◽  
Mostafa Zahri
Keyword(s):  
Conservation Laws ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Scalar Conservation Laws ◽  
Time Space ◽  
Scalar Conservation ◽  
Volume Method ◽  
Stochastic Time

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.

scholarly journals Finite volume method in curvilinear coordinates for hyperbolic conservation laws

2011 ◽  
Vol 32 ◽  
pp. 163-176 ◽  
Author(s):  
A. Bonnement ◽  
T. Fajraoui ◽  
H. Guillard ◽  
M. Martin ◽  
A. Mouton ◽  
...  
Keyword(s):  
Conservation Laws ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Hyperbolic Conservation Laws ◽  
Curvilinear Coordinates ◽  
Hyperbolic Conservation ◽  
Volume Method

scholarly journals Validation of a 4D Finite Volume Method for Blade Flutter

1996 ◽  
Author(s):  
Pieter Groth ◽  
Hans Mårtensson ◽  
Lars-Erik Eriksson
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Three Dimensional ◽  
Transfinite Interpolation ◽  
Time Space ◽  
Blade Flutter ◽  
Time Marching ◽  
External Flows ◽  
Nicolson Scheme ◽  
Volume Method

A finite volume method for blade flutter analyses, using moving grids is presented and partly validated. The method which solves the unsteady three-dimensional Euler equations is formulated in the four-dimensional time-space domain. An algebraic grid generation technique based on transfinite interpolation is used to move and deform the grid to conform to the blade motion. Fluxes are calculated using a third-order upwind-biased scheme. For time marching both an explicit three-stage Runge-Kutta scheme and a Crank-Nicolson scheme is used. Internal and external flows are calculated using the present method. Calculated results agree well with the corresponding experiments and with results obtained using other methods.

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