The contribution presents our approach to numerical modelling of processes in a combustion engine and its present situation. The modelling was motivated by the aim of computation of production of nitrogen oxides during the work cycle of such engine. There are the models of flow of compressible gas, heat and mass transport, and chemical reactions and their connection presented here. The model of...

Ying-Qing Wu Abstra t. We prove a conjecture of Menasco and Zhang that if a tangle is completely tubing compressible then it consists of at most two families of parallel strands. This is related to problems of graphs in 3-manifold. A 1-vertex graph Γ in a 3manifold M with a genus 1 Heegaard splitting is standard if it consists of one or two parallel sets of core curves lying in the Heegaard spl...

This study used the reinforcing spirals model to investigate the mutual influence between individuals’ media use and their global warming perceptions. Data from the science module of the 2006 General Social Survey were analyzed using structural equation modeling. Results offered support for the reinforcing spirals model’s predictions. Media use mediated the effects of age, race, and education o...

The asymptotic behavior as well as the global existence of classical solutions to the 3D compressible Euler equations are considered. For polytropic perfect gas P ρ P0ρ , time asymptotically, it has been proved by Pan and Zhao 2009 that linear damping and slip boundary effect make the density satisfying the porous medium equation and the momentum obeying the classical Darcy’s law. In this paper...

In this article we consider iterative operator-splitting methods for nonlinear differential equations. The main feature of the proposed idea is the embedding of Newton’s method for solving the split parts of the nonlinear equation at each step. The convergence properties of such a mixed method are studied and demonstrated. We confirm with numerical applications the effectiveness of the proposed...

The flow of a compressible fluid with slip through a cylinder with an asymmetric local constriction has been considered both numerically, as well as analytically. For the numerical work, a particle-based method whose dynamics is governed by the multiparticle collision (MPC) rule has been used together with a generalized boundary condition that allows for slip at the wall. Since it is well known...

A generalized approach to decompose the compressible Navier-Stokes equations into an equivalent set of coupled for flow and acoustics is introduced. As a significant extension standard hydrodynamic/acoustic splitting methods, provides essential coupling terms, which account feedback from flow. unique simplified version split equation system with derived that conforms in subsonic regime, where r...

We present results with a parallel CFD code that computes steady-state solutions of the Reynolds-Favre averaged Navier-Stokes equations for the simulation of the turbulent motion of compressible and incompressible Newtonian fluids. We report on preliminary experiments on 2D and 3D problems, for both internal and external flow configurations. In this communication we present numerical results wi...