Mathematical Theory of Transport Processes in Gases

Ferziger, Joel H.; Kaper, Hans G.; Gross, Eugene P.

doi:10.1119/1.1987312

Cited by 483 publications

(535 citation statements)

References 0 publications

Supporting

Mentioning

522

Contrasting

Unclassified

Order By: Relevance

“…The procedure is standard and can be found classic monographs [55,68]. The departure functions are expanded in terms of some chosen basis functions g n as…”

Section: Viscositiesmentioning

confidence: 99%

Quasiparticle theory of shear and bulk viscosities of hadronic matter

2011

View full text Add to dashboard Cite

A theoretical framework for the calculation of shear and bulk viscosities of hadronic matter at finite temperature is presented. The framework is based on the quasi-particle picture. It allows for an arbitrary number of hadron species with point-like interactions, and allows for both elastic and inelastic collisions. Detailed balance is ensured. The particles have temperature dependent masses arising from mean field or potential effects, which maintains self-consistency between the equation of state and the transport coefficients. As an example, we calculate the shear and bulk viscosity in the linear σ model. The ratio of shear viscosity to entropy density shows a minimum in the vicinity of a rapid crossover transition, while the ratio of bulk viscosity to entropy density shows a maximum.

show abstract

“…The procedure is standard and can be found classic monographs [55,68]. The departure functions are expanded in terms of some chosen basis functions g n as…”

Section: Viscositiesmentioning

confidence: 99%

Quasiparticle theory of shear and bulk viscosities of hadronic matter

2011

View full text Add to dashboard Cite

show abstract

“…This construction of the normal solution by expansion around the corresponding homogeneous solution will be referred to as the Chapman-Enskog method (the Chapman-Enskog method was originally developed to construct the normal solution to the Boltzmann equation. See for example, [8,9]). This presumes the existence and determination of a reference homogeneous solution ρ h to Eq.…”

Section: Normal Solutions Constitutive Equations and Hydrodynamicsmentioning

confidence: 99%

Choosing Hydrodynamic Fields

Dufty

Brey

2011

Math. Model. Nat. Phenom.

View full text Add to dashboard Cite

Abstract. Continuum mechanics (e.g., hydrodynamics, elasticity theory) is based on the assumption that a small set of fields provides a closed description on large space and time scales. Conditions governing the choice for these fields are discussed in the context of granular fluids and multi-component fluids. In the first case, the relevance of temperature or energy as a hydrodynamic field is justified. For mixtures, the use of a total temperature and single flow velocity is compared with the use of multiple species temperatures and velocities.

show abstract

“…(61), in the case ǫ → 0. The NDF is solved using a Chapman-Enskog development (see classical references of kinetic theory of gases [24,16,7,46]), that is to say that f is decomposed into powers of ǫ:…”

Section: Aerosolsmentioning

confidence: 99%

A high order moment method simulating evaporation and advection of a polydisperse liquid spray

Kah

Laurent

Massot

et al. 2012

Journal of Computational Physics

109

View full text Add to dashboard Cite

In this paper, we tackle the modeling and numerical simulation of sprays and aerosols, that is dilute gasdroplet flows for which polydispersity description is of paramount importance. Starting from a kinetic description for point particles experiencing transport either at the carrier phase velocity for aerosols or at their own velocity for sprays as well as evaporation, we focus on an Eulerian high order moment method in size and consider a system of partial differential equations (PDEs) on a vector of successive integer size moments of order 0 to N , N > 2, over a compact size interval. There exists a stumbling block for the usual approaches using high order moment methods resolved with high order finite volume methods: the transport algorithm does not preserve the moment space. Indeed, reconstruction of moments by polynomials inside computational cells coupled to the evolution algorithm can create N -dimensional vectors which fail to be moment vectors: it is impossible to find a size distribution for which there are the moments. We thus propose a new approach as well as an algorithm which is second order in space and time with very limited numerical diffusion and allows to accurately describe the advection process and naturally preserves the moment space. The algorithm also leads to a natural coupling with a recently designed algorithm for evaporation which also preserves the moment space; thus polydispersity is accounted for in the evaporation and advection process, very accurately and at a very reasonable computational cost. These modeling and algorithmic tools are referred to as the EMSM (Eulerian Multi Size Moment) model. We show that such an approach is very competitive compared to multi-fluid approaches, where the size phase space is discretized into several sections and low order moment methods are used in each section, as well as with other existing high order moment methods. An accuracy study assesses the order of the method as well as the low level of numerical diffusion on structured meshes. Whereas the extension to unstructured meshes is provided, we focus in this paper on cartesian meshes and two 2D test-cases are presented: Taylor-Green vortices and turbulent free jets, where the accuracy and efficiency of the approach are assessed.

show abstract

Mathematical Theory of Transport Processes in Gases

Abstract: Articles you may be interested inThe modified moment method and theory of nonlinear transport processes in gases: Third order cumulant approximation

Cited by 483 publications

References 0 publications

Quasiparticle theory of shear and bulk viscosities of hadronic matter

Quasiparticle theory of shear and bulk viscosities of hadronic matter

Choosing Hydrodynamic Fields

A high order moment method simulating evaporation and advection of a polydisperse liquid spray

Contact Info

Product

Resources

About