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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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Dumbbell Model for Dilute and Semi-Dilute Solutions
Dumbbell models are very crude representations of polymer molecules. Too crude to be of much interest to a polymer chemist, since it in no way...
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Applications of the Correlation Length
The correlation length is the system–dependent parameter, which defines the structure of the dominant current–carrying (electric or fluid) paths....
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Pressure Saturation Curves and the Critical Volume Fraction for Percolation
The pressure-saturation curves of porous media give fundamental information about the pore space. In equilibrium, ignoring effects due to hysteresis,...
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Effects of Multi-Scale Heterogeneity
It is generally agreed that problems with multi-scale heterogeneity present the biggest challenge to computation and understanding. A few such...
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Equilibrium Statistics: Monte Carlo Methods
Monte Carlo methods use random numbers, or ‘random’ sequences, to sample from a known shape of a distribution, or to extract distribution by other...
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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,...