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
Aspect ratio effect on particle transport in turbulent duct flows
TL;DR: In this paper, the effect of turbulence-driven secondary motion on the particle dynamics in turbulent duct flows is studied by means of direct numerical simulations of the carrier phase turbulence with one-way coupled Lagrangian particles.
Journal ArticleDOI
Control of the Unsteady Flow in a Stator Blade Row Interacting With Upstream Moving Wakes
T. Valkov,C. S. Tan +1 more
TL;DR: In this article, a spectral-element Navier-Stokes solver was applied to the study of the unsteady flow arising from wake-stator interaction and the results showed that the interaction between the wakes and the stator blades produces a characteristic pattern of vortical disturbances, which have been correlated to the pressure fluctuations.
Journal ArticleDOI
Spectral element method for vector radiative transfer equation
TL;DR: Numerical results show that the SEM is accurate, flexible and effective to solve multidimensional polarized radiative transfer problems.
Journal ArticleDOI
Optimal Three-Dimensional Placement of Heat Generating Electronic Components
TL;DR: In this article, an algorithm that uses simulated annealing to perform electronic component layout while incorporating constraints related to thermal performance is introduced, and a hierarchical heat transfer analysis is developed which is used in conjunction with the simulated AN algorithm to produce final layout configurations that are densely packed and operate within specified temperature ranges.
Journal ArticleDOI
Numerical prediction of extrudate swell of branched polymer melts
TL;DR: In this paper, numerical prediction of the extrudate swell behavior of branched polymer melts in a planar configuration using the multi-mode extended pom-pom (XPP) model is presented.
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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