Variational multiscale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling
Sign Up to like & getrecommendations! Published in 2018 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4420
Abstract: Summary A numerical approximation for the one-dimensional Burgers equation is proposed by means of the Orthogonal Sub-Grid Scales - Variational Multi-Scale (OSGS-VMS) method. We evaluate the role of the variational subscales in describing the Burgers… read more here.
Keywords: approximation; one dimensional; burgers equation; approximation one ... See more keywords
(3 + 1)‐Dimensional time‐fractional modified Burgers equation for dust ion‐acoustic waves as well as its exact and numerical solutions
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5823
Abstract: In this paper, the theoretical model of dust ion‐acoustic waves in collisionless, unmagnetized dust plasma is analyzed. According to the (3 + 1)‐dimensional nonlinear dynamic propagation equations with the electron distribution in the presence of… read more here.
Keywords: burgers equation; modified burgers; ion acoustic; dust ... See more keywords
Viscous Shock Solutions to the Stochastic Burgers Equation
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DOI: 10.1007/s00205-021-01696-7
Abstract: We define a notion of a viscous shock solution of the stochastic Burgers equation that connects "top" and "bottom" spatially stationary solutions of the same equation. Such shocks generally travel in space, but we show… read more here.
Keywords: shock solutions; solutions stochastic; burgers equation; stochastic burgers ... See more keywords
Zero Temperature Limit for Directed Polymers and Inviscid Limit for Stationary Solutions of Stochastic Burgers Equation
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DOI: 10.1007/s10955-018-2104-z
Abstract: We consider a space-continuous and time-discrete polymer model for positive temperature and the associated zero temperature model of last passage percolation type. In our previous work, we constructed and studied infinite-volume polymer measures and one-sided… read more here.
Keywords: temperature limit; stationary solutions; temperature; limit ... See more keywords
Lie algebra of coupled higher-dimensional forced Burgers’ equation
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DOI: 10.1007/s13370-021-00926-1
Abstract: Symmetry analysis of coupled higher-dimensional forced Burgers’ equation is investigated for various cases. The Lie algebra for the various cases of forcing terms is investigated. Interestingly, for a linear forcing term, the symmetry analysis leads… read more here.
Keywords: burgers equation; dimensional forced; forced burgers; coupled higher ... See more keywords
Spectrally accurate approximate solutions and convergence analysis of fractional Burgers’ equation
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DOI: 10.1007/s40065-020-00286-x
Abstract: In this paper, a new numerical technique implements on the time-space pseudospectral method to approximate the numerical solutions of nonlinear time- and space-fractional coupled Burgers’ equation. This technique is based on orthogonal Chebyshev polynomial function… read more here.
Keywords: accurate approximate; time space; time; burgers equation ... See more keywords
Spectral Analysis on Burgers’ Equation and Its Solutions Using Three Different Basis Functions
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-018-0525-7
Abstract: In this study, Spectral Collocation method with three different basis functions are used to analyse the famous Burgers’ equation. It is the simplest nonlinear model which represents diffusive waves in fluid dynamics and is a… read more here.
Keywords: basis functions; analysis; burgers equation; different basis ... See more keywords
CAS Wavelet Picard Technique for Burger’s–Huxley and Burgers Equation
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DOI: 10.1007/s40819-018-0565-z
Abstract: In this paper, solutions of generalized Burger’s–Huxley equation and Burgers equation are proposed through a numerical method. The method is developed by using CAS wavelet in conjunction with Picard technique. Operational matrices for CAS wavelet… read more here.
Keywords: burger huxley; cas wavelet; wavelet picard; burgers equation ... See more keywords
Traveling and Shock Wave Simulations in A Viscous Burgers’ Equation with Periodic Boundary Conditions
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DOI: 10.1007/s40819-018-0582-y
Abstract: A fourth order numerical method based on cubic B-spline functions has been proposed to solve the periodic Burgers’ equation. The method is capable of capturing the physical behavior of the Burgers’ equation very efficiently. Obtained… read more here.
Keywords: traveling shock; burgers equation; shock wave; diffusion term ... See more keywords
A novel finite difference scheme for Burgers' equation on unbounded domains
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DOI: 10.1016/j.apnum.2016.09.002
Abstract: Abstract This paper studies a finite difference method for one-dimensional nonhomogeneous Burgers' equation on the infinite domain. Two exact nonlinear artificial boundary conditions are applied on two artificial boundaries to limit the original problem onto… read more here.
Keywords: difference scheme; finite difference; novel finite; burgers equation ... See more keywords
Stabilization of Burgers’ equation by constrained control
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DOI: 10.1016/j.ifacol.2020.12.1314
Abstract: Abstract The work addresses constrained control of Burgers’ equation by using distributed in space point actuation and measurements. An observer-based distributed-in-domain point control law is suggested to stabilize the system, where the controller employs averaged… read more here.
Keywords: equation constrained; burgers equation; control; constrained control ... See more keywords