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
On Ill‐Conditioning of Descent Methods to Recover Initial Data for the Burgers Equation With Small Viscosity
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DOI: 10.1002/mma.10768
Abstract: The identification of the initial condition of a parabolic equation given terminal data is a problem arising in several applications. In this work, we consider the problem for the semilinear parabolic viscous Burgers equation in… read more here.
Keywords: descent methods; ill conditioning; conditioning descent; burgers equation ... See more keywords
(3 + 1)‐Dimensional time‐fractional modified Burgers equation for dust ion‐acoustic waves as well as its exact and numerical solutions
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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
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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
Numerical Solution of the Burgers’ Equation Using Chelyshkov Polynomials
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DOI: 10.1007/s40819-023-01663-8
Abstract: A numerical approach to approximate the nonlinear Burgers’ equation solution is presented in this article. By temporally discretizing the problem using the Crank-Nicolson scheme, we present a discrete formulation along with approximate solutions at each… read more here.
Keywords: numerical solution; solution burgers; solution; using chelyshkov ... See more keywords