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
Stream function vorticity solution using high‐p element‐by‐element techniques
E. Barragy,G. F. Carey +1 more
TL;DR: A p-type finite-element scheme is introduced for Navier-Stokes problems in a fully coupled stream function/vorticity formulation and Pseudo-element block preconditioners produce a practical PBCG method, even for ill-conditioned systems arising from high-p elements in the case of Stokes flow.
Journal ArticleDOI
The Adaptive Spectral Element Method and Comparisons with More Traditional Formulations for Ocean Modeling
Frédéric Dupont,Charles A. Lin +1 more
TL;DR: In this article, a family of discontinuous Galerkin formulations is proposed, in which each element of the mesh leads to a local matrix problem and all the fluid equations must be prognostic and solved explicitly in time.
Journal ArticleDOI
A modeling approach to transitional channel flow
TL;DR: In this article, a low-dimensional dynamical model of transitional flow in a periodically grooved channel is numerically obtained using a spectral element method for Reynolds number Re=430.
Journal ArticleDOI
Comparison of h and p finite element approximations of the shallow water equations
Roy A. Walters,E. J. Barragy +1 more
TL;DR: In this paper, a p-type finite element scheme is introduced for the three-dimensional shallow water equations with a harmonic expansion in time, and the wave continuity equation formulation is used which decouples the problem into a Helmholtz equation for surface elevation and a momentum equation for horizontal velocity.
Proceedings ArticleDOI
A time-spectral hybridizable discontinuous Galerkin method for periodic flow problems
TL;DR: The Time-Spectral method solves the entire time-periodic solution simultaneously, thereby avoiding the cost of resolving undesired initial transient behavior and allowing re-use of many parts of a conventional time-marching code.
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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Numerical analysis of spectral methods : theory and applications
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