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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Journal ArticleDOI
Effects of debonding on Lamb wave propagation in a bonded composite structure under variable temperature conditions
TL;DR: In this article, a combined theoretical analysis, time-domain spectral element simulation and experimental analysis of elastic wave propagation in a carbon-fibre reinforced adhesively-bonded composite structure have been carried out.
Journal ArticleDOI
Linear stability analysis of thermocapillary flow in a slowly rotating shallow annular pool using spectral element method
TL;DR: In this article, the authors investigated the stability of thermocapillary flow in a slowly rotating shallow annular pool by using the Legendre spectral element method and showed that thermocAPillary flow is the dominant factor of the instability.
Journal ArticleDOI
Propagation of in-plane elastic waves in a composite panel
TL;DR: In this article, the analysis of in-plane elastic wave propagation in a composite panel is solved by the use of the Spectral Element Method, which is modelled by a 36-node spectral membrane finite elements with nodes defined at Gauss-Lobatto-Legendre points.
Journal ArticleDOI
Natural Convection in an Anisotropic Porous Enclosure Due to Nonuniform Heating From the Bottom Wall
Ashok Kumar,P. Bera +1 more
TL;DR: In this article, a comprehensive numerical investigation on the natural convection in a hydrodynamically anisotropic porous enclosure is presented, which is due to nonuniformly heated bottom wall and maintenance of constant temperature at cold vertical walls along with adiabatic top wall.
Dissertation
Modelling and advanced simulation of wave propagation phenomena in 3D geophysical media.
TL;DR: In this paper, the authors gather some of their contribution to the modeling and simulation of seismic wave propagation, and present some of the results of their work in modeling and simulating the propagation of seismic waves.
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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