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
Port reduction in parametrized component static condensation: approximation and a posteriori error estimation
Jens L. Eftang,Anthony T. Patera +1 more
TL;DR: A port (interface) approximation and a posteriori error bound framework for a general component‐based static condensation method in the context of parameter‐dependent linear elliptic partial differential equations is introduced.
Journal ArticleDOI
Adhesive Layer Effects on PZT-induced Lamb Waves at Elevated Temperatures
TL;DR: In this article, the role of the adhesive layer on PZT-induced Lamb wave propagation in structures exposed to elevated temperatures is investigated, and the spectral element package (PESEA) is adopted to simulate the test results.
Journal ArticleDOI
Computations of the drag coefficients for low-Reynolds-number flow past rings
TL;DR: In this paper, the variation in the drag coefficient for low-Reynolds-number flow past rings orientated normal to the direction of flow is investigated numerically, where an aspect ratio parameter is used for a ring, which describes at its limits a sphere and a circular cylinder.
Journal ArticleDOI
A spectral multidomain method for the solution of hyperbolic systems
TL;DR: A multidomain Chebyshev spectral collocation method for solving hyperbolic partial differential equations has been developed and it reduces the stiffness associated with the use of explicit time integration as a relaxation scheme.
Journal ArticleDOI
A novel formulation of a spectral plate element for wave propagation in isotropic structures
TL;DR: In this paper, a spectral plate finite element for analysis of elastic wave propagation in isotropic plate structures is presented, which makes use of on an extended form of the displacement field that enables one to investigate selectively or simultaneously both symmetric and anti-symmetric modes of Lamb waves propagating in plate structures.
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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