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
Evaluation of the Spectral Finite Element Method with the Theory of Phononic Crystals
Nicolás Guarín-Zapata,Juan Gomez +1 more
TL;DR: In this paper, the performance of the classical and spectral finite element method in simulation of elastodynamic problems is evaluated, and the results from both the classical (consistent or mass-lumped) and spectral (non-dispersive) finite element methods coincide with the analytically determined curves.
Journal ArticleDOI
Analyzing first symmetric and antisymmetric Lamb wave modes in functionally graded thick plates by using spectral plate elements
TL;DR: In this paper, a series of differential equations which can predict the propagation and dispersive behavior of first symmetric and antisymmetric Lamb wave modes in functionally graded material (FGM) thick plates are developed.
Dissertation
Efficient finite element methods for aircraft engine noise prediction
TL;DR: In this paper, four high order finite element methods are used to solve the convected wave equation, and their performances are compared to the adaptive-order method, which automatically chooses the most efficient order for a given element, depending on the element size and the problem parameters on that element.
Journal ArticleDOI
Shock capturing by Bernstein polynomials for scalar conservation laws
TL;DR: It is proved that the resulting Bernstein procedure is total variation diminishing and preserves monotone (shock) profiles, and can be modified to not just preserve but also to enforce certain bounds for the solution, such as positivity.
Proceedings ArticleDOI
Heat transfer enhancement by flow destabilization in electronic chip configurations
TL;DR: In this paper, numerical simulations of the flow pattern and forced convective heat transfer in geometries such as those encountered in cooling systems for electronic devices are presented, and the best enhancement system regarding minimum power dissipation corresponds to passive flow modulation in the range of low Nusselt numbers.
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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