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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Large eddy simulation of wire-wrapped fuel pins I: Hydrodynamics in a periodic array.
TL;DR: In this article, large-eddy simulations of flow in a wire-wrapped fuel assembly at subchannel Reynolds numbers of Re{sub h} = 4684-29184 were presented.
Journal ArticleDOI
Coupling spectral elements and modes in a spherical Earth: an extension to the ‘sandwich’ case
TL;DR: In this article, the spectral element method (SEM) is extended with a normal-mode solution in spherical geometry, which is based on a high-order variational formulation in space and a second-order explicit scheme in time.
Journal ArticleDOI
Mean-flow correction as non-linear saturation mechanism
TL;DR: In this paper, the mean-flow correction in the development of an instability was identified in the presence of a 2D jet confined in a rectangular cavity that presents an oscillating instability.
Journal ArticleDOI
Aspect ratio effect on particle transport in turbulent duct flows
TL;DR: In this article, the authors studied the dynamics of dilute micron-sized spherical inertial particles in turbulent duct flows by means of direct numerical simulations of the carrier phase turbulence with one-way coupled Lagrangian particles.
Journal ArticleDOI
Effect of geometry and Reynolds number on the turbulent separated flow behind a bulge in a channel
TL;DR: In this article, the effect of the wall curvature and the Reynolds number on the dynamics of the recirculating bubble behind the bump is investigated using direct numerical simulations, revealing a non-trivial behaviour of the energy fluxes.
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
David Gottlieb,Steven A. Orszag +1 more