Journal ArticleDOI
A spectral element method for fluid dynamics: Laminar flow in a channel expansion
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TLDR
In this article, a spectral element method was proposed for numerical solution of the Navier-Stokes equations, where the computational domain is broken into a series of elements, and the velocity in each element is represented as a highorder Lagrangian interpolant through Chebyshev collocation points.About:
This article is published in Journal of Computational Physics.The article was published on 1984-06-01. It has received 2133 citations till now. The article focuses on the topics: Spectral element method & Spectral method.read more
Citations
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Journal ArticleDOI
Analytical and numerical solutions for thick beams with thermoelastic damping
TL;DR: In this paper, an analytical solution for thermoelastic damping (TED) quality factor in beams based on Timoshenko beam theory has been proposed along the lines of a previous analytical solution obtained by Lifshitz and Roukes.
Posted ContentDOI
A Reduced Basis Technique for Long-Time Unsteady Turbulent Flows
TL;DR: An \emph{a posteriori} error indicator, which corresponds to the dual norm of the residual associated with the time-averaged momentum equation, is proposed and demonstrated that the error indicator is highly-correlated with the error in mean flow prediction, and can be efficiently computed through an offline/online strategy.
Journal ArticleDOI
Application of an elastoplastic spectral‐element method to 3D slope stability analysis
Horn Nath Gharti,Horn Nath Gharti,Dimitri Komatitsch,Dimitri Komatitsch,Volker Oye,Roland Martin,Jeroen Tromp +6 more
TL;DR: In this paper, a spectral-element method for 3D time-independent elastoplastic problems in geomechanics is implemented for slope stability analyses ranging from small to large scales.
Journal ArticleDOI
A new spectral element method for the reliable computation of viscoelastic flow
Cédric Chauvière,Robert G. Owens +1 more
TL;DR: In this article, a stabilised spectral element method was developed for the accurate integration of the mixed elliptic-hyperbolic system of partial differential equations governing certain viscoelastic flows.
Journal ArticleDOI
Global stability and sensitivity analysis of boundary-layer flows past a hemispherical roughness element
TL;DR: In this article, the authors study the full three-dimensional instability mechanism past a hemispherical roughness element immersed in a laminar Blasius boundary layer and show the spatial structure of the linear direct and adjoint global eigenmodes of the Navier-Stokes equations and use the structural sensitivity field to locate the region where the instability mechanism acts.
References
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MonographDOI
Numerical analysis of spectral methods : theory and applications
David Gottlieb,Steven A. Orszag +1 more
TL;DR: Spectral Methods Survey of Approximation Theory Review of Convergence Theory Algebraic Stability Spectral Methods Using Fourier Series Applications of algebraic stability analysis Constant Coefficient Hyperbolic Equations Time Differencing Efficient Implementation of Spectral Method as discussed by the authors.
Journal ArticleDOI
Experimental and Theoretical Investigation of Backward-Facing Step Flow
TL;DR: In this paper, the velocity distribution and reattachment length of a single backward-facing step mounted in a two-dimensional channel were measured using laser-Doppler measurements.
Journal ArticleDOI
Computational and experimental study of a captive annular eddy
Enzo O. Macagno,Tin-Kan Hung +1 more
TL;DR: In this article, the main flow and the captive eddy between it and the walls are analyzed, and it is concluded that the main role of the eddy is to shape the flow with a rather small energy exchange.
Book
Finite Element Computational Fluid Mechanics
TL;DR: In this paper, a finite element solution methodology is derived, developed, and applied directly to the differential equation systems governing classes of problems in fluid mechanics, including turbulence closure and the solution of turbulent flows.
Journal ArticleDOI
Practical evaluation of three finite difference schemes for the computation of steady-state recirculating flows
TL;DR: In this article, the authors examined the performance of three steady-state finite difference formulations, namely: (i) the hybrid central/upwind differencing scheme, 2.
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