Results 251 to 260 of about 9,938 (296)

Lattice Boltzmann model for the modified Burgers’ equation

Applied Mathematics and Computation, 2008
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Yali Duan, Ruxun Liu, Yanqun Jiang
exaly   +3 more sources

SIMULATION OF KdV-BURGERS EQUATION WITH LATTICE BGK MODEL

International Journal of Modern Physics B, 2011
The lattice BGK method is a recently developed numerical scheme for simulating a variety of physical systems in recent years. In this paper, a four-speed lattice BGK model is given for simulating KdV-Burgers equation ut+uux-αuxx+βuxxx = 0. Simulating results are compared with the analytical solution of the KdV-Burgers equation and they are in ...
Chen, Linjie, Ma, Changfeng
openaire   +2 more sources

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
openaire   +1 more source

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.
openaire   +2 more sources

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.
Christian Schmeiser, Klemens Fellner
openaire   +2 more sources

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 ...
openaire   +2 more sources

A lattice Boltzmann model for the Burgers–Fisher equation

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2010
A lattice Boltzmann model is developed for the one- and two-dimensional Burgers-Fisher equation based on the method of the higher-order moment of equilibrium distribution functions and a series of partial differential equations in different time scales. In order to obtain the two-dimensional Burgers-Fisher equation, vector sigma(j) has been used.
Zhang, Jianying, Yan, Guangwu
openaire   +2 more sources

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.
openaire   +1 more source

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
openaire   +2 more sources