A numerical investigation of high-resolution schemes for solving the compressible Navier-Stokes equations in the context of Implicit Large Eddy Simulation (ILES) is presented. Computations have been performed using a hybrid total variation-diminishing (TVD) scheme. The hybrid TVD scheme combines third-order Godunov-type fluxes with first-order (dissipative) schemes using the flux limiters appro...

Modern high-resolution conservative numerical schemes (see [1–3]) are widely used for simulating flows of liquids, gases, or plasmas. They provide a robust and accurate method for capturing discontinuities, such as shock waves. A total-variation-diminishing (TVD) principle is an important element of such schemes. A TVD scheme is constructed in such a way that the total variation, TV 1⁄4 P ikUi ...

We present a new multi–fluid, grid MHD code PIERNIK, which is based on the Relaxing TVD scheme (Jin and Xin, 1995). The original scheme (see Trac & Pen (2003) and Pen et al. (2003)) has been extended by an addition of dynamically independent, but interacting fluids: dust and a diffusive cosmic ray gas, described within the fluid approximation, with an option to add other fluids in an easy way. ...

In this paper, a mathematical model based on the T-S fuzzy is proposed to solve fault estimation (FE) and fault-tolerant control (FTC) problem for singular nonlinear time-varying delay (TVD) systems with sensor fault. TVD extremely difficult Laplace transform devised build an equal system free of TVD. Additionally, changed actuator by developed coordinate transformation. A learning estimator fi...

The purpose of this paper is twofold. Firstly we carry out an extension of the fully discrete third order TVD scheme, for linear case, presented in [8] to nonlinear scalar hyperbolic conservation laws for one and two dimensions. Secondly, we propose a semi-discrete version of the scheme. Time evolution is carried out by the third order TVD RungeKutta method. The advantages of the scheme are its...