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ENO Approximations for Compressible Fluid Dynamics

ZAMM, 1999
Summary: We describe in detail some technique to construct high order ENO type schemes on general meshes. We discuss means of improving the efficiency using Harten's multiresolution analysis and a parallel version of the algorithm. We also provide several numerical examples and comparisons with more conventional schemes.
Abgrall, R., Lantéri, S., Sonar, Thomas
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The anyon fluid in the Bogoliubov approximation

Physical Review D, 1992
We study the free anyon fluid by extending the usual Bogoliubov approximation to the case of nonlocal "statistical" interactions. We thereby compute the ground-state energy, the spectrum of low-lying excitations, the static structure factor, and the pair distribution function.
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Approximating the heterogeneous fluid queue with a birth-death fluid queue

IEEE Transactions on Communications, 1995
Recent research has shown that fluid-flow queueing models accurately determine the burst level component of the ATM multiplexer process, and fluid models therefore constitute an efficient tool for the investigation of admission control in ATM networks.
Soren Blaabjerg   +2 more
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Dispersive approximations in fluid dynamics

Communications on Pure and Applied Mathematics, 1991
The authors analyze von Neumann's algorithm for solving the initial value problem for Lagrangian equations of compressible flow. Von Neumann's difference scheme consists of replacing the time and space derivatives by central difference quotients. The scheme is linearly stable in \(\ell^ 2\) sense when GFL condition is satisfied.
Hou, Thomas Y., Lax, Peter D.
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Numerical approximation of viscoelastic fluids

ESAIM: Mathematical Modelling and Numerical Analysis, 2017
Stable finite element schemes are developed for the solution of the equations modeling the flow of viscoelastic fluids. In contrast with classical statements of these equations, which introduce the stress as a primary variable, these schemes explicitly involve the deformation tensor and elastic energy. Energy estimates and existence of solutions to the
Louis Perrotti   +2 more
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Beyond one-fluid approximations for the thermodynamics of fluid mixtures

The Journal of Chemical Physics
Developing analytic equations of state for fluid mixtures based on perturbation theories requires simplifying approximations, in which mixture properties are determined from effective pure component properties. While these one-fluid approximations reduce model complexity, they also introduce inaccuracies.
Anja Reimer   +2 more
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Hypervertex approximations for fluids. I. General formalism and the linear hypervertex approximation for symmetric fluids

The Journal of Chemical Physics, 1982
A method for generating Dyson equations for two-particle fluid correlation functions is applied to the case of ionic and polar fluids to systematically yield a sequence of approximations that go beyond the lowest-order gamma-ordered approximation. The first two such approximations are given here. For the simplest class of such fluid models—those having
J. S. Ho/ye, G. Stell
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Energy-Equation Approximations in Fluid Mechanics

Journal of the Aerospace Sciences, 1962
Fig. 1 is a dimensionless plot of the digital-computer solution of Eq. (1). Each constant-^ curve peaks at a depth Froude Number, c/vgH < 1. A s ^ decreases the peaks become sharper and larger in magnitude, approaching the two-dimensional solution which gives infinite drag at c/vgH = l.
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A one molecular fluid approximation for diatomic fluid mixtures

The Journal of Chemical Physics, 1984
We investigate a one component molecular fluid approximation for conformally similar molecules. We test this scheme on (two) mixtures of rigid homonuclear diatomic Lennard-Jones (LJ) fluids for which a limited amount of information from molecular dynamics simulations is available.
Eduardo M. Waisman   +2 more
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The Electrostatic and Fluid Approximations

1998
Abstract In contrast to what occurs in vacuum or in ordinary dielectrics, the electric field of a plane wave propagating in a plasma generally has a nonvanishing longitudinal component, Eς = k · E/k ‘F- 0.
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