Finite Volume Method for the Launch Safety of Energetic Materials

It is important to examine the ignition of energetic materials for launch safety. Given that there is a paucity of experimental tests, numerical simulations are important for analysing energetic materials. A computer program based on the finite volume method and viscoelastic statistical crack mechanics model is developed to study the ignition of energetic materials. The trends of temperature and stress of energetic materials subjected to projectile base pressure are studied by numerical examples. The results are compared with those in an extant study, which verified the correctness of the proposed method. Additionally, the relationships between the temperature increase and nonimpact ignition of energetic materials were analysed. The results show that when the temperature at the bottom of the explosive rises to a certain value, it will cause the explosive to ignite. This research has significance to the study of the base gap of explosives, and it provides a reference for launch safety evaluation of energetic materials.

Download Full-text

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

IMA Journal of Numerical Analysis ◽

10.1093/imanum/dry074 ◽

2018 ◽

Vol 40 (1) ◽

pp. 405-421 ◽

Cited By ~ 1

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.

Download Full-text

A Discontinuous Finite Volume Method for the Darcy-Stokes Equations

Journal of Applied Mathematics ◽

10.1155/2012/761242 ◽

2012 ◽

Vol 2012 ◽

pp. 1-16 ◽

Cited By ~ 2

Author(s):

Zhe Yin ◽

Ziwen Jiang ◽

Qiang Xu

Keyword(s):

Error Estimate ◽

Finite Volume Method ◽

Finite Volume ◽

Stokes Equations ◽

Optimal Error Estimate ◽

Optimal Error ◽

Numerical Examples ◽

First Order ◽

Theoretical Predictions ◽

Volume Method

This paper proposes a discontinuous finite volume method for the Darcy-Stokes equations. An optimal error estimate for the approximation of velocity is obtained in a mesh-dependent norm. First-orderL2-error estimates are derived for the approximations of both velocity and pressure. Some numerical examples verifying the theoretical predictions are presented.

Download Full-text

A Discrete Duality Finite Volume Method for Coupling Darcy and Stokes Equations

Moroccan Journal of Pure and Applied Analysis ◽

10.2478/mjpaa-2019-0005 ◽

2019 ◽

Vol 5 (1) ◽

pp. 46-62

Author(s):

M. Rhoudaf ◽

N. Staïli

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Stokes Equations ◽

Contact Interface ◽

Numerical Examples ◽

Lack Of Information ◽

Darcy Problem ◽

Darcy Equations ◽

Normal Continuity ◽

Volume Method

AbstractWe present a general finite volume method to solve a coupled Stokes-Darcy problem, we propose two domains corresponding to fluid region and porous region with a physical intersection. At the contact interface between the fluid region and the porous media we impose two conditions; the first one is the normal continuity of the velocity and the second one is the continuity of the pressure. Furthermore, due to the lack of information about both the velocity and the pressure on the interface, we will use Schwarz domain decomposition. In Darcy equations, the tensor of permeability will be considered as variable, since it depends on both the properties of the porous medium and the viscosity of the fluid. Numerical examples are presented to demonstrate the efficiency of the proposed method.

Download Full-text