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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ReportDOI
CFD validation in OECD/NEA t-junction benchmark.
Aleksandr Obabko,Paul Fischer,Timothy J. Tautges,Sergey A. Karabasov,V. M. Goloviznin,M. A. Zaytsev,V. V. Chudanov,Valeri A. Pervichko,A. E. Aksenova +8 more
TL;DR: In this paper, the authors compare and contrast simulation results for three computational fluid dynamics codes CABARET, Conv3D, and Nek5000 for the T-junction thermal striping problem that was the focus of a recent OECD/NEA blind benchmark.
Dissertation
Ocean current Variability in Relation to Offshore Engineering
TL;DR: In this article, a set of observed data that were recorded close to the seabed on the continental slope west of Norway are presented, which suggest that some strong and abrupt current events (changes in flow speed of ~0.4 m/s in just a couple of hours) were caused by motions of the deep pycnocline2, driven by variations in the surface wind field.
Journal ArticleDOI
On semi-infinite spectral elements for Poisson problems with re-entrant boundary singularities
TL;DR: In this paper, a spectral element method is described which enables Poisson problems defined in irregular infinite domains to be solved as a set of coupled problems over semi-infinite rectangular regions.
Journal ArticleDOI
Spectral-element preconditioners for the Uzawa pressure operator applied to incompressible flows
W. Couzy,Michel Deville +1 more
TL;DR: Seven preconditioners for the Uzawa pressure operator are discussed in the context of the spectral-element discretization of unsteady, incompressible flows and a twostage preconditionsing technique is set up to solve efficiently problems at high Reynold numbers.
Journal ArticleDOI
A Dynamical Pseudo-Spectral Domain Decomposition Technique
François Renaud,Serge Gauthier +1 more
TL;DR: It is shown that both the overall accuracy and the matching at the interfaces are improved with respect to a fixed interface calculation and on some functions that the total norm of the Chebyshev series depends on the location of the interfaces.
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.
Related Papers (5)
Numerical analysis of spectral methods : theory and applications
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