Search Results - Spectral methods applied to problems in fluid mechanics

De-biasing the dynamic mode decomposition for applied Koopman spectral analysis of noisy datasets by Hemati, Maziar S., Rowley, Clarence W., Deem, Eric A., Cattafesta, Louis N.

“…The dynamic mode decomposition (DMD)—a popular method for performing data-driven Koopman spectral analysis…”
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Spectral proper orthogonal decomposition by Sieber, Moritz, Paschereit, C. Oliver, Oberleithner, Kilian

“… To overcome the deficit of these ‘rigid’ approaches, we propose a new method termed spectral proper orthogonal decomposition (SPOD…”
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Current Problems and Advances in Computational and Applied Mechanics

“… This Special Edition illustrates the latest advances in computational solid mechanics, fluid mechanics, and coupled problems, and their application to practical engineering problems…”
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Lucas polynomials based spectral methods for solving the fractional order electrohydrodynamics flow model by Sahlan, M. Nosrati, Afshari, H.

“…The aim of this paper is to study the fractional order nonlinear singular boundary value problem arising in electrohydrodynamics flow, which describes the velocity of the ionized fluid in a circular cylindrical conduit…”
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Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering

“… “Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering…”
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On the formulation and numerical simulation of distributed-order fractional optimal control problems by Zaky, M.A., Machado, J.A. Tenreiro

“…•Distributed fractional optimal control problems are formulated.•The Euler–Lagrange equations for DFOCPs are derived…”
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An overset adaptive time spectral method for periodic flows by Ghasemi, Samad, Jafarian, Seyyed Majid Malek

“…The time spectral approach, a spectral method based on the Fourier series with an appropriate convergence speed, can be utilized for a time-varying problem like the flow around a pitching airfoil…”
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Fourier spectral method for higher order space fractional reaction–diffusion equations by Pindza, Edson, Owolabi, Kolade M.

“…•Fractional Fourier Transform method is proposed to solve fractional reaction – diffusion problems.•We investigate the linear stability analysis of the model, in our analysis results…”
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Uncertain viscoelastic models with fractional order: A new spectral tau method to study the numerical simulations of the solution by Ahmadian, A., Ismail, F., Salahshour, S., Baleanu, D., Ghaemi, F.

“… We propose here a new model based on fractional calculus to deal with the Kelvin–Voigt (KV) equation and non-Newtonian fluid behavior model with fuzzy parameters…”
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Error estimates of a space–time Legendre spectral method for solving the Korteweg–de Vries equation by Sang, Lin, Wu, Hua

“…In this paper, a space–time spectral method for solving the Korteweg–de Vries equation is considered…”
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On the Application of Reduced Basis Methods to Bifurcation Problems in Incompressible Fluid Dynamics by Pitton, Giuseppe, Rozza, Gianluigi

“…) problems in fluid dynamics. The proposed method aims at reducing the complexity and the computational time required for the construction of bifurcation and stability diagrams…”
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Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis by Towne, Aaron, Schmidt, Oliver T., Colonius, Tim

“…). Spectral POD is derived from a space–time POD problem for statistically stationary flows and leads to modes that each oscillate at a single frequency…”
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Reduced‐order extrapolation technique for coefficient vectors of numerical solutions about fluid mechanics equation by Luo, Zhendong, Liu, Xiangdong, Zeng, Yihui, Li, Yuejie

“…For convenience, this study mainly focuses on the reduced order of coefficient vectors for the classical finite spectral element Crank–Nicolson (CFSECN…”
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A novel time-spectral BEM for efficient 2D dynamic analysis by Babeshko, Vladimir

“…This study presents a new boundary element method (BEM) framework for the numerical solution of general time-dependent or transient problems…”
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HOS-ocean: Open-source solver for nonlinear waves in open ocean based on High-Order Spectral method by Ducrozet, Guillaume, Bonnefoy, Félicien, Le Touzé, David, Ferrant, Pierre

“…HOS-ocean is an efficient High-Order Spectral code developed to solve the deterministic propagation of nonlinear wavefields in open ocean…”
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Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity by Neustupa, Jiří, Penel, Patrick, Yang, Minsuk

“…We deal with a weak solution v to the Navier–Stokes initial value problem in R 3 × ( 0…”
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Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives: a stable scheme based on spectral meshless radial point interpolation by Shivanian, Elyas, Jafarabadi, Ahmad

“… The time fractional derivative is described in the Riemann–Liouville sense. The applied approach is based on combination of meshless methods and spectral collocation techniques…”
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Estimation of dispersion and attenuation of Rayleigh waves in viscoelastic inhomogeneous layered half-space based on spectral method by Li, Caiguang, Wei, Peijun, Guo, Xiao

“… The rectangular window function is used to merge the surface boundary conditions. The complicated problem of solving the complex wave number in the complex region is ultimately…”
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Proper Generalized Decomposition method for incompressible Navier–Stokes equations with a spectral discretization by Dumon, A., Allery, C., Ammar, A.

“…Proper Generalized Decomposition (PGD) is a method which consists in looking for the solution to a problem in a separate form…”
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Revisiting the spectral analysis for high-order spectral discontinuous methods by Vanharen, Julien, Puigt, Guillaume, Vasseur, Xavier, Boussuge, Jean-François, Sagaut, Pierre

“…The spectral analysis is a basic tool to characterise the behaviour of any convection scheme…”
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