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Energy decay of Burgers’ model of turbulence
The Physics of Fluids, 1976The previously developed numerical method, using Monte Carlo quadrature, is applied to Burgers’ model of turbulence for many cases of initial energy spectrums. It turns out that the power index of the energy decay ranges continuously from −2/3 to −2, depending on the cases.
K. Yamamoto, I. Hosokawa
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Burgers' Turbulence Model with Two Velocity Components
The Physics of Fluids, 1972Burgers' turbulence model with two velocity components has a periodic motion as the equilibrium turbulent state. Numerical experiments have shown that this equilibrium state is a stable limit cycle and hence attainable from the arbitrary initial conditions except for some singular ones.
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Burgers turbulence model for a channel flow
Journal of Fluid Mechanics, 1971The truncated Burgers models have a unique equilibrium state which is defined continuously for all the Reynolds numbers and attainable from a realizable class of initial disturbances. Hence, they represent a sequence of convergent approximations to the original (untruncated) Burgers problem.
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Relativistic Burgers Models on Curved Background Geometries
2019Relativistic Burgers model and its generalization to various spacetime geometries are recently studied both theoretically and numerically. The numeric implementation is based on finite volume and finite difference approximation techniques designed for the corresponding model on the related geometry.
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Nonlinear Wave Expansion for Turbulence in the Burgers' Model of a Fluid
The Physics of Fluids, 1969A new scheme of expansion of the turbulent velocity field is proposed and applied to the Burgers' one-dimensional model turbulence. The velocity field of the Burgers' turbulence is expanded into a series of nonlinear waves of sawtooth profile, each of which is an asymptotic solution of the Burgers' equation for extremely large Reynolds numbers R.
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Model-based control of the Burgers equation
Physical Review A, 1991, Shermer, , Hübler, , Packard
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The decay of turbulence in the burgers model
Physica D: Nonlinear Phenomena, 1981S.S. Moiseev, A.V. Toor, V.V. Yanovsky
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Burger's Original Model of Turbulence.
AIAA Journal, 2005S. K. Versteeg, J. K. Clutter
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Reactive Burgers model for detonation propagation in a non-uniform medium
Proceedings of the Combustion Institute, 2021Aslan R Kasimov
exaly