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
Higher-order adaptive finite-element methods for Kohn-Sham density functional theory
TL;DR: An a priori mesh-adaption technique is developed to construct a close to optimal finite-element discretization of Kohn-Sham density-functional theory (DFT), and it is suggested that the hexic spectral-element may be an optimal choice for the finite- element discretizations of the Kohn -Sham DFT problem.
Journal ArticleDOI
Blood flow in abdominal aortic aneurysms: pulsatile flow hemodynamics
Ender A. Finol,Cristina H. Amon +1 more
TL;DR: A comparison between predictions for steady and pulsatile flow is presented, illustrating the importance of considering time-dependent flow for the evaluation of hemodynamic indicators.
Journal ArticleDOI
Simulation Methods for Guided Wave-Based Structural Health Monitoring: A Review
TL;DR: The state-of-the-art in numerical wave propagation analysis on guided wave-based structural health monitoring (SHM) applications is reviewed, and various numerical methods are discussed and assessed with respect to their capability of simulating guided wave propagation phenomena.
Journal ArticleDOI
A staggered spectral element model with application to the oceanic shallow water equations
TL;DR: In this paper, a staggered spectral element model for the solution of the oceanic shallow water equations is presented, and both an implicit and an explicit time integration scheme are compared, showing the performance of the implicit scheme to lag that of the explicit scheme because of the unpreconditioned implementation of GMRES.
Journal ArticleDOI
Modeling of wave propagation in plate structures using three-dimensional spectral element method for damage detection
Haikuo Peng,Guang Meng,Fucai Li +2 more
TL;DR: In this article, a 3D spectral finite element (SFEs)-based model is developed to simulate the wave propagation in plate structures, and different Lamb wave modes are generated using different excitation approaches and subsequently, characteristics of those modes are analyzed.
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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