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
Modeling the equations of state using a flamelet approach in LRE-like conditions
TL;DR: In this article, the authors investigate the averaging and modeling of real fluid equations of state (EoS) used in the context of numerical simulations of flows under conditions relevant to liquid rocket engine (LRE) thrust chambers.
Journal ArticleDOI
A second order splitting algorithm for thermally‐driven flow problems
TL;DR: In this paper, a splitting technique for solutions of the Navier-Stokes and the energy equations, in Boussinesq approximately, is presented, where the equations are first integrated in time using a splitting procedure and then discretized spatially by means of a high-order spectral element method.
Dissertation
Eléments finis mixtes spectraux et couches absorbantes parfaitement adaptées pour la propagation d'ondes élastiques en régime transitoire
TL;DR: Cette nouvelle methode permet, par un choix judicieux d'espaces d'approximation et une condensation de masse, d'obtenir un schema explicite de stockage reduit, en donnant la meme solution que la methode des elements finis spectraux.
Journal ArticleDOI
A numerical comparison of Chebyshev methods for solving fourth order semilinear initial boundary value problems
TL;DR: The best Chebyshev method to use for high resolution computations of solutions to initial boundary value problems is the spectral space ChebysHEv integration method which uses sparse matrix operations and has a computational cost comparable to Fourier spectral discretization.
DissertationDOI
Liner impedance modeling in the time domain with flow
TL;DR: In this paper, the authors present a survey of the state-of-the-art methods in the field of bio-medical data collection, and their application in medical data collection.
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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