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
Interactive Simulation and Visualization of Lamb Wave Propagation in Isotropic and Anisotropic Structures
TL;DR: In this article, an integrated simulation and visualization environment is presented that enables a detailed study of Lamb wave propagation in isotropic and anisotropic materials, and the results are displayed interactively showing that the scattered wave-field at the defect is highly directional.
Journal ArticleDOI
Adaptive mesh refinement for steady flows in Nek5000
TL;DR: Adaptive mesh refinement is performed in the framework of the spectral element method augmented by approaches to error estimation and control.
Journal ArticleDOI
Large eddy simulation of turbulent flows via domain decomposition techniques. Part 1: theory
TL;DR: In this article, large eddy simulations of incompressible turbulent flows in complex geometries are discussed and the application of the Schur complement method for the solution of the elliptic equations arising from the fractional step procedure and/or the semi-implicit discretization of the momentum equations in velocity-pressure representation.
Journal ArticleDOI
Fully numerical Hartree-Fock and density functional calculations. I. Atoms
TL;DR: HelFEM as discussed by the authors is a variational atomic finite element solver for Hartree-Fock (HF) or density functional (DF) calculations on atoms, which can be used to calculate electric properties.
Journal ArticleDOI
A Spectral Element Approximation to Price European Options. II. The Black-Scholes Model with Two Underlying Assets
Wuming Zhu,David A. Kopriva +1 more
TL;DR: A Legendre quadrilateral spectral element approximation for the Black-Scholes equation is developed to price European options with two underlying assets and it is found that GMRES with a fully implicit approximation in time, preconditioned with the mass matrix is the most efficient.
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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