Fluid dynamic and kinetic theory models for a nonprovocative land defense of central Europe

1986 ◽  
Vol 54 (7) ◽  
pp. 607-611 ◽  
Author(s):  
Alvin M. Saperstein
Keyword(s):  
Kinetic Theory ◽  
Central Europe ◽  
Fluid Dynamic

Hyperbolic versus Parabolic Asymptotics in Kinetic Theory toward Fluid Dynamic Models

2013 ◽  
Vol 73 (4) ◽  
pp. 1327-1346 ◽  
Author(s):  
Abdelghani Bellouquid ◽  
Juan Calvo ◽  
Juan Nieto ◽  
Juan Soler
Keyword(s):  
Kinetic Theory ◽  
Dynamic Models ◽  
Fluid Dynamic

Kinetic Theory for Bubbly Flow II: Fluid Dynamic Limit

1996 ◽  
Vol 56 (2) ◽  
pp. 358-371 ◽  
Author(s):  
Giovanni Russo ◽  
Peter Smereka
Keyword(s):  
Kinetic Theory ◽  
Fluid Dynamic ◽  
Bubbly Flow ◽  
Fluid Dynamic Limit

Kinetic Theory of Dense Fluids

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Kinetic Theory ◽  
Lattice Boltzmann ◽  
Fluid Dynamic ◽  
Formal Theory ◽  
Many Body ◽  
Multicomponent Flows ◽  
Ideal Fluids ◽  
Complex Fluid ◽  
Many Body Systems ◽  
To Come

This chapter presents the basic elements of the kinetic theory of non-ideal fluids, to which both kinetic and potential energy contribute on comparable footing. Non-ideal fluids lie at the heart of many complex fluid-dynamic applications, such as those involving multiphase and multicomponent flows. This chapter features a degree of abstraction which may not come by handy to the reader with limited interest to the formal theory of classical many-body systems. The interested readers can safely skip the math and retain the basic bottomline. They may just skip this chapter altogether, but in this author’s opinion, this is likely to come with a toll on the full appreciation of Lattice Boltzmann theory for non-ideal fluids, in fact one of the most successful offsprings of Lattice Boltzmann theory.

scholarly journals Opacity dependence of elliptic flow in kinetic theory

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
Aleksi Kurkela ◽  
Urs Achim Wiedemann ◽  
Bin Wu
Keyword(s):  
Kinetic Theory ◽  
Particle Production ◽  
Fluid Dynamic ◽  
Elliptic Flow ◽  
Mean Free Path ◽  
System Size ◽  
Proton Proton ◽  
Hybrid Approaches ◽  
Particle Spectra ◽  
Large Systems

Abstract The observation of large azimuthal anisotropies $$v_n$$vn in the particle spectra of proton–proton (pp) and proton–nucleus (pA) collisions challenges fluid dynamic interpretations of $$v_n$$vn, as it remains unclear how small collision systems can hydrodynamize and to what extent hydrodynamization is needed to build up $$v_n$$vn. Here, we study in a simple kinetic theory how the same physics that leads to hydrodynamization in large systems represents itself in small systems. We observe that one third to one half of the elliptic flow signal seen in fully hydrodynamized systems can be built up in collisions that extend over only one mean free path $$l_\mathrm{mfp}$$lmfp and that do not hydrodynamize. This is qualitatively in line with observing a sizeable $$v_2$$v2 in pp collisions for which other characteristics of soft multi-particle production seem well-described in a free-streaming picture. We further expose a significant system size dependence in the accuracy of hybrid approaches that match kinetic theory to viscous fluid dynamics. The implications of these findings for a reliable extraction of shear viscosity are discussed.

scholarly journals The Homogeneous Cooling State as a Verification Test for Kinetic Theory-Based Continuum Models of Gas–Solid Flows

2017 ◽  
Vol 2 (4) ◽  
Author(s):  
William D. Fullmer ◽  
Christine M. Hrenya
Keyword(s):  
Analytical Solution ◽  
Kinetic Theory ◽  
Stokes Equations ◽  
Fluid Dynamic ◽  
Time Integration ◽  
Continuum Models ◽  
Integration Scheme ◽  
Backward Euler ◽  
Verification Test ◽  
Homogeneous Cooling State

Granular and multiphase (gas–solids) kinetic theory-based models have emerged a leading modeling strategy for the simulation of particle flows. Similar to the Navier–Stokes equations of single-phase flow, although substantially more complex, kinetic theory-based continuum models are typically solved with computational fluid dynamic (CFD) codes. Under the assumptions of the so-called homogeneous cooling state (HCS), the governing equations simplify to an analytical solution describing the “cooling” of fluctuating particle velocity, or granular temperature. The HCS is used here to verify the implementation of a recent multiphase kinetic theory-based model in the open source mfix code. Results from the partial verification test show that the available implicit (backward) Euler time integration scheme converges to the analytical solution with the expected first-order rate. A second-order accurate backward differentiation formula (BDF) is also implemented and observed to converge at a rate consistent with its formal accuracy.

Relativistic Kinetic Theory

2017 ◽  
Author(s):  
Gregory V. Vereshchagin ◽  
Alexey G. Aksenov
Keyword(s):  
Kinetic Theory ◽  
Relativistic Kinetic Theory
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