Asymptotic reductions of the Fanno model for one-dimensional turbulent compressible flow of a perfect gas in a long tube are investigated. Conservation laws are derived using the multiplier method for a nonlinear wave equation and a nonlinear diffusion equation for the mean velocity and a nonlinear diffusion equation for the mean pressure. Two conserved quantities for the mean velocity are obta...

Abstract. We propose finite difference schemes for multidimensional quasilinear parabolic systems whose main feature is the introduction of correctors which control the second-order terms with mixed derivatives. We show that with these correctors the schemes inherit physically relevant properties present at the continuous level, such as the existence of invariant domains and/or the nonincrease ...

This paper presents a new dynamic one equation eddy viscosity model for LES of compressible flows. Based on the compressible version of dynamic Smagorinsky model (DSM), the transport equation for sub-grid scale (SGS) kinetic energy (KE) is introduced to predict SGS KE, instead of the commonly used Yoshizawa’s model. The SGS KE transport equation for compressible flow is derived, and the unclose...

Numerical simulation of compressible fluid flows is performed using the Euler equations. They include the scalar advection equation for the density, the vector advection equation for the velocity and a given pressure dependence on the density. An approximate solution of an initial–boundary value problem is calculated using the finite element approximation in space. The fully implicit two–level ...

In the present work, the Roe, the Steger and Warming, the Van Leer, the Chakravarthy and Osher, the Harten, the Frink, Parikh and Pirzadeh, the Liou and Steffen Jr. and the Radespiel and Kroll schemes are implemented, on a finite volume context and using an upwind structured spatial discretization, to solve the Euler equations in the three-dimensional space. The Roe, the Harten, the Chakravarth...

The purpose of this work is to investigate whether a cascading process can be associated with the rotational motions compressible three-dimensional turbulence. This question examined through lens circulicity, concept related angular momentum carried by large turbulent scales. Point-splitting and coarse-graining analyses are performed in order uncover some properties circulicity nonlinear transf...

Flux-vector and tlux-difference splittings for the inviscid terms of :hs compressible flc:\ equations are derived under the assumption of a general equation of state for a reai gas in squilibrium. No unnecessary assumptions. approximations, or auxiliary quantities are introduced. The formulas derived include several particular cases known for ideal gases and ;cadilq appi) to curvilinear coordin...

A new family of Monte Carlo schemes has been recently introduced for the numerical solution of the Boltzmann equation of rarefied gas dynamics[14]. After a splitting of the equation the time discretization of the collision step is obtained from the Wild sum expansion of the solution by replacing high order terms in the expansion with the equilibrium Maxwellian distribution. The corresponding ti...

Two time-splitting methods for integrating the elastic equations are presented. The methods are based on a third-order Runge–Kutta time scheme and the Crowley advection schemes. The schemes are combined with a forward–backward scheme for integrating high-frequency acoustic and gravity modes to create stable splitexplicit schemes for integrating the compressible Navier–Stokes equations. The time...