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
Time-Domain Spectral Element Method for Built-In Piezoelectric-Actuator-Induced Lamb Wave Propagation Analysis
TL;DR: In this article, a spectral element method was used to simulate piezoelectric-actuator-induced acousto-ultrasonic wave propagation in a metallic structure.
Book ChapterDOI
Structural Health Monitoring
TL;DR: can be found at: Structural Health Monitoring Additional services and information for http://shm.sagepub.com/subscriptions.
Journal ArticleDOI
Marangoni convection in binary mixtures with Soret effect
TL;DR: In this article, a spectral-element time-stepping code is adapted to calculate bifurcation points and solution branches via Newton's method for a differentially heated binary mixture.
Journal ArticleDOI
Coupling finite element and spectral methods: first results
TL;DR: In this paper, a Poisson equation on a rectangular domain is solved by coupling two methods: the domain is divided in two squares, a finite element approximation is used on the first square and a spectral discretization on the second one.
Journal ArticleDOI
Adaptive mesh strategies for the spectral element method
TL;DR: In this paper, an adaptive spectral method was developed for the efficient solution of time dependent partial differential equations for driven flow in a cavity, where sharp gradients, singularities, and regions of poor resolution were resolved optimally as they developed in time using error estimators which indicate the choice of refinement to be used.
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