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Aerothermodynamics, Nonlinear Acoustics and the Meteorological Equations
The study of low-Mach-number flows occurs in the general context of asymptotic modelling of fluid flows, and in a recent book (Zeytounian 2004, Chap....
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Some Aspects of Low-Mach-Number External Flows
In this chapter, we consider first, in Sect. 4.1, a detailed derivation of the Navier–Fourier initial–boundary–value problem for the Navier velocity...
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Comparison of Single and Two‐Fluid Approaches
The results of the “0D„ analyses gathered in Tables 5.1 and 6.1 and discussed in Sects. 5.3 and 6.2 provide the basis for comparing Dam's к–ε and...
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Conclusion, Future Modeling Trends
The relevance of this study stands not in the topics that have been discussed, since most of them have already been explored for many years now, but...
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Single‐Fluid Approach: Example of Dam's к–ε Model
The statistical equations for the turbulent flow of an incompressible fluid are found in the literature [58], but they are adapted here to the...
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Specific Treatment of Shocks: Constraints on Models1
Before examining the phenomenology of the interaction between a shock and turbulent or material heterogeneities, it is useful to recall that the...
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Two‐Fluid Approach: Example of Awe's Model
Two‐fluid descriptions often use explicitly separate treatments for the conservation equations in each fluid, along with expressions for exchange...
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Computer Simulations of the Electric Double Layer
We describe the Lekner–Sperb summation technique used to calculate the Coulomb interaction in 2D periodic systems, and discuss in detail the methods...
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Molecular Dynamics of Complex Systems: Non-Hamiltonian, Constrained, Quantum-Classical
A theoretically sound and computationally tractable treatment for non-Hamiltonian molecular dynamics is needed for simulations of complex systems....
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Reverse Non-equilibrium Molecular Dynamics
We review non-equilibrium methods for calculating transport coefficients with emphasis on the reverse non-equilibrium molecular dynamics (RNEMD)...
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On the Reduction of Molecular Degrees of Freedom in Computer Simulations
Molecular simulations, based on atomistic force fields are a standard theoretical tool in materials, polymers and biosciences. While various methods,...
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Lattice Boltzmann Modeling of Complex Fluids: Colloidal Suspensions and Fluid Mixtures
The study of complex fluid dynamics requires development of numerical tools that capture the essentials of the dynamic coupling among the different...
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Mesoscopic Multi-particle Collision Model for Fluid Flow and Molecular Dynamics
Several aspects of modeling dynamics at the mesoscale level are discussed: (1) The construction of a mesoscopic description of fluid dynamics. The...
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Some Aspects of Low-Mach-Number Internal Flows
In the present chapter, the main problem concerns low-Mach-number flow affected by acoustic effects in a confined gas over a long time.
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Slow Atmospheric Motion as a Low-Mach-Number Flow
First, in Sect. 6.1, we discuss in detail various facets of the applicability of the Boussinesq approximation to slow atmospheric motion. In Sect....
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The Many Faces of the Asymptotics of Low-Mach-Number Flows
It has long been known (Janzen 1913 and Rayleigh 1916) that asymptotic methods provide a sound way of describing incompressible aerodynamics...
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A First Approach to the Asymptotics of Low-Mach-Number Flows
In this chapter, we describe an initial (rather ‘naive’) approach to the asymptotics of low-Mach-number flows, based mainly on consideration of the...
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Review of Different Instability Types and Regimes
The three major types of “ideal„ instabilities studied here are [92]:
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Simulating the Dynamics of Mesoscopic Systems
We consider how to simulate quantitatively the dynamics of mesoscopic systems on macroscopic time-scales. In this respect we consider two relatively...