Results 261 to 270 of about 9,938 (296)

A microscopic model of interface related to the Burgers equation

Journal of Statistical Physics, 1989
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DE MASI, Anna, FERRARI P. A., VARES M. E.   +2 more
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On the transfer of energy in Burgers’ model of turbulence

Applied Scientific Research, 1956
The distribution of energy transfer is examined for two given energy spectra: one corresponding to an exponential correlation function and the other a block spectrum. Due to the absence of a pressure term, it is found that Burgers’ equation does not lead to an algebraic behaviour of the correlation functions for large separations. It is also found that,
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On Burgers' model equations for turbulence

Journal of Fluid Mechanics, 1973
Burgers’ (1939) model equations for turbulence are considered analytically using a singular perturbation and nonlinear wave approach. The results indicate that there is an ultimate steady turbulent state. This is in agreement with the numerical results of Lee (1971) but not with Case & Chiu (1969): the last two papers start with a Fourier series ...
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On the correlation function in Burgers’ model of turbulence

Applied Scientific Research, 1954
The equation for the correlation function in Burgers’ recent approach (Istanbul, 1952) is investigated. It is shown that the parameter β must have the value zero. Both from qualitative arguments and numerical integration, it appears that the solution of the equation is consistent with experiments; thus Burgers’ approach might be profitably pursued.
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Closure in reduced-order model of Burgers equation

2015 12th International Bhurban Conference on Applied Sciences and Technology (IBCAST), 2015
Proper orthogonal decomposition based reduced-order models is a significant model reduction technique in computational fluid dynamics, which are used in many industrial and practical applications e.g., flow control, design, and optimization. The reduced-ordered model works well for laminar flows however, lacks accuracy for complex and turbulent flows ...
Haroon Imtiaz, Imran Akhtar
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On Burgers' original model of turbulence

Nonlinearity, 1990
In a series of papers Burgers introduced various mathematical models to illustrate some aspects of turbulence. The major paper initiating this endeavour seems to be forgotten and Burgers' name is only attached to the nonlinear equations vt+2vvy-vyy=0, that model free turbulence.
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Burgers’ model with a renormalized Wiener–Hermite representation

The Physics of Fluids, 1975
The use of the Wiener–Hermite expansion for the turbulence problem is reviewed. The expansion is known to give good results for lower Reynolds’ number flows, up to a fluctuation Reynolds’ number of 20 using more recent time-dependent bases. The use and meaning of these bases is discussed.
Meecham, W. C., Iyer, P., Clever, W. C.
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Model predictive control of Burgers equation based on Galerkin models

2013 American Control Conference, 2013
A feedback control design for Burgers equation is proposed using a model predictive control approach. A low-order POD Galerkin model derived from a numerical simulation of Burgers equation is used as internal controller model. The reduced-order model accurately predicts the system dynamics as a function of the actuated Dirichlet boundary condition ...
Mathias Hakenberg, Dirk Abel
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Statistical mechanics of the Burgers model of turbulence

Journal of Fluid Mechanics, 1972
The velocity field of the Burgers one-dimensional model of turbulence at extremely large Reynolds numbers is expressed as a train of random triangular shock waves. For describing this field statistically the distributions of the intensity and the interval of the shock fronts are defined. The equations governing the distributions are derived taking into
Tatsumi, Tomomasa, Kida, Shigeo
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Quantum Lattice-Gas Model for the Burgers Equation

Journal of Statistical Physics, 2002
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