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Lattice Boltzmann model for the modified Burgers’ equation
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duan, Yali, Liu, Ruxun, Jiang, Yanqun
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A lattice Boltzmann model for the Burgers–Fisher equation
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2010A 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
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On Burgers' model equations for turbulence
Journal of Fluid Mechanics, 1973Burgers’ (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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Study of one‐dimensional space‐time fractional‐order Burgers‐Fisher and Burgers‐Huxley fluid models
Mathematical Methods in the Applied Sciences, 2019The shifted Legendre collocation method is used to solve the one‐dimensional nonlinear reaction‐advection‐diffusion equation having spatial and temporal fractional‐order derivatives with initial and boundary conditions. The solution profiles of the normalized solute concentration of space‐time fractional‐order Burgers‐Fisher and Burgers‐Huxley ...
Anup Singh +3 more
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On Burgers' original model of turbulence
Nonlinearity, 1990In 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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Formulation of thermodynamically consistent fractional Burgers models
Acta Mechanica, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Okuka, Aleksandar, Zorica, Dušan
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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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Quantum Lattice-Gas Model for the Burgers Equation
Journal of Statistical Physics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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SIMULATION OF KdV-BURGERS EQUATION WITH LATTICE BGK MODEL
International Journal of Modern Physics B, 2011The 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
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A microscopic model of interface related to the Burgers equation
Journal of Statistical Physics, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE MASI, Anna +2 more
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