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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Proceedings ArticleDOI
An Efficient Localized RBF Meshless Method Applied to FLuid Flow and Conjugate Heat Transfer
Eduardo Divo,Alain J. Kassab +1 more
TL;DR: In this article, a localized radial basis function (RBF) meshless method is developed for coupled viscous fluid flow and convective heat transfer problems, which is applicable to explicit or implicit time marching schemes as well as steady-state iterative methods.
Journal ArticleDOI
A high-order embedded domain method combining a Predictor–Corrector-Fourier-Continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains
TL;DR: A novel, high-order numerical method is introduced that brings into play domain embedding into a regular, square computational domain in combination with integral reformulation, fully exponentially convergent Fourier PS collocation, and the Fourier-Continuation (FC)-Gram method integrated with a novel predictor–corrector-continuation algorithm to improve the accuracy of the extrapolated data.
Journal ArticleDOI
Numerical investigation of the subcritical effects at the onset of three-dimensionality in the circular cylinder wake
TL;DR: In this paper, a non-linear marginal stability curve is defined and the authors investigate the bi-stability interval of the subcritical bifurcation as a function of the spanwise periodicity of simulations.
Journal ArticleDOI
On Hybrid Multigrid-Schwarz Algorithms
TL;DR: It is shown that the Schwarz smoother that best performs in the above reference, is equivalent to a special case of the weighted restricted additive Schwarz, for which convergence analysis is presented.
Journal ArticleDOI
Simulation strategies for the Food and Drug Administration nozzle using Nek5000
TL;DR: This work performs direct numerical simulations of the flow through the FDA nozzle configuration, at Reynolds numbers based on the throat diameter Ret = 500, 2000, 3500, and 5000, using the spectral-element code Nek5000 to highlight the very high sensitivity of this flow case to the inflow conditions and the disturbances at the throat.
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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