Results 241 to 250 of about 94,618 (289)

Burgers--Poisson: A Nonlinear Dispersive Model Equation

SIAM Journal on Applied Mathematics, 2004
Summary: A dispersive model equation is considered, which has been proposed by \textit{G. B. Whitham} [Linear and nonlinear waves, John Wiley, New York (1974; Zbl 0373.76001)] as a shallow water model, and which can also be seen as a caricature of two-species Euler-Poisson problems.
Fellner, Klemens Andreas, Schmeiser, Christian   +1 more
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LPV Modelling and Control of Burgers’ Equation

IFAC Proceedings Volumes, 2011
Linear parameter-varying (LPV) modelling and control of a nonlinear PDE is presented in this paper. The one-dimensional viscous Burgers' equation is discretized using a finite difference scheme and the boundary conditions are taken as control inputs. A nonlinear high-order state space model is generated and proper orthogonal decomposition is used for ...
Hashemi, Seyed Mahdi, Werner, Herbert
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Entropic lattice Boltzmann model for Burgers's equation

Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2004
Entropic lattice Boltzmann models are discrete-velocity models of hydrodynamics that possess a Lyapunov function. This feature makes them useful as nonlinearly stable numerical methods for integrating hydrodynamic equations. Over the last few years, such models have been successfully developed for the Navier-Stokes equations in two and three dimensions,
Boghosian, Bruce M., Love, Peter John, Yepez, Jeffrey   +2 more
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Subgrid modelling studies with Burgers’ equation

Journal of Fluid Mechanics, 1980
Burgers’ equation, a one-dimensional analogue of the Navier–Stokes equation, has been solved numerically in full detail at high (equivalent) Reynolds numbers. These fine-mesh solutions have been used to study the dynamics of the Burgers’ equation analogue of three-dimensional turbulence and in particular the drain of energy from the large to the small ...
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Burgers’ equation and the sticky particles model

Journal of Mathematical Physics, 2012
Under general assumptions on the initial data, we show that the entropy solution (x, t) ↦ u(x, t) of the one-dimensional inviscid Burgers’ equation is the velocity function of a sticky particles model whose initial mass distribution is Lebesgue measure.
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Burger's model of turbulence as a stochastic process

Journal of Physics A: Mathematical and General, 1992
Summary: A recently proposed mesoscopic description of fluid dynamics leads to a new approach to turbulence. In contrast to the classical statistical theory of turbulence the new approach introduces a probabilistic time evolution of the random velocity governed by a master equation.
Breuer, H. P., Petruccione, F.
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Burgers' Turbulence Model with Two Velocity Components

The Physics of Fluids, 1972
Burgers' 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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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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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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