The Godunov method for conservation laws produces numerical solutions that are total-variation diminishing (TVD) and converge to weak solutions which satisfy the entropy condition (Entropy Consistency), but the method is only first order accurate. Many second and higher order accurate Godunov–type methods have been developed by various researchers. Although these high order methods perform very...

The current device-centric protection model against security threats has serious limitations from the final user perspective, among the other the necessity to keep each device updated with the latest security updates and the necessity to replicate all the security polices across all devices. In our model, the protection is decoupled from the users terminals and it is provided through a Trusted ...

We present a second-order accurate numerical method for class of nonlocal nonlinear conservation laws called the "nonlocal pair-interaction model" which was recently introduced by Du, Huang, and LeFloch. Our uses reconstruction-based schemes local in conjunction with appropriate integration. show that resulting is total variation diminishing (TVD) converges towards weak solution. In fact, contr...

A numerical study on mixing of hydrogen injected transversely into a supersonic air stream has been performed by solving Two-Dimensional full Navier-Stokes equations. An explicit Harten-Yee Non-MUSCL Modified-flux-type TVD scheme has been used to solve the system of equations, and a zero-equation algebraic turbulence model to calculate the eddy viscosity coefficient. The main objectives of this...

This work deals with numerical solution of first order hyperbolic equation or system in 2D or 3D. In the first part, the solution of a 2D linear scalar equation is investigated. Using this model problem, the results of different numerical schemes are compared from the point of view of accuracy and parallel efficiency. The next part describes 2D and 3D steady numerical solutions of the transonic...