Journal ArticleDOI
A spectral element method for fluid dynamics: Laminar flow in a channel expansion
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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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Questioning Degree of Accuracy Offered by the Spectral Element Method in Computational Electromagnetics
TL;DR: In this article, a comparison between the spectral element method (SEM), the finite difference method (FDM), and the first-order finite element method(FEM) is presented.
Journal ArticleDOI
Flame dynamics in lean premixed CO/H2/air combustion in a mesoscale channel
Andrea Brambilla,Andrea Brambilla,Christos E. Frouzakis,John Mantzaras,Rolf Bombach,Konstantinos Boulouchos +5 more
TL;DR: In this article, the dynamics and stabilization of fuel lean premixed CO / H 2 /air atmospheric pressure flames in meso-scale channels were investigated numerically, using detailed gas phase chemistry and transport.
Book ChapterDOI
Efficiency of High Order Spectral Element Methods on Petascale Architectures
TL;DR: High order methods for the solution of PDEs expose a trade-off between computational cost and accuracy on a per degree of freedom basis, and as architectures tend towards wider vector instructions and expect higher arithmetic intensities, the best order for a particular simulation may change.
Journal ArticleDOI
Semi-analytical hybrid approach for the simulation of layered waveguide with a partially debonded piezoelectric structure
Mikhail V. Golub,Alisa N. Shpak +1 more
TL;DR: In this article, a semi-analytical hybrid approach for simulating the dynamic interaction of perfectly bonded or damaged piezoelectric structures with a layered elastic waveguide is presented.
Journal ArticleDOI
Bubble-stabilized spectral methods for the incompressible Navier-Stokes equations
Claudio Canuto,V. Van Kemenade +1 more
TL;DR: In this paper, a stabilized spectral Legendre schemefor approximating the incompressible Navier-Stokes equations is presented, which is obtained by adding local bubble functions to the usual global polynomial trial and testvelocities.
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.
Related Papers (5)
Numerical analysis of spectral methods : theory and applications
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