Journal ArticleDOI
A spectral element method for fluid dynamics: Laminar flow in a channel expansion
Reads0
Chats0
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
More filters
Book ChapterDOI
An overlapping Schwarz method for spectral element simulation of three-dimensional incompressible flows
TL;DR: In this paper, a Schwarz preconditioner for the spectral element method using overlapping subdomains for the pressure was developed, and a coarse grid projection operator whose solution was computed via a fast parallel direct solver.
Marangoni convection in binary mixtures with Soret eect
TL;DR: In this paper, the authors studied Marangoni convection in a dierentially heated binary mixture, where the fluid is subject to the Soret eect and is contained in a two-dimensional small-aspect-ratio rectangular cavity with one undeformable free surface.
Journal ArticleDOI
Lamb wave interaction with composite delamination
TL;DR: In this article, a detailed account of guided wave interaction with delamination in laminated composites modeled using time domain spectral finite element (TSFE) method is studied. But the results of this paper are limited to the case of composite laminate.
Journal ArticleDOI
Strong formulation finite element method for arbitrarily shaped laminated plates - Part I. Theoretical analysis
TL;DR: In this article, a new technique for solving the static analysis of arbitrarily shaped composite plates by using Strong Formulation Finite Element Method (SFEM) is presented, which is an extension of the classic Generalized Differential Quadrature (GDQ) procedure.
Journal ArticleDOI
Spectral method solution of the Stokes equations on nonstaggered grids
TL;DR: In this paper, the Stokes equations are solved using spectral methods with staggered and non-staggered grids, and pseudospectral methods using nonstagggered grids have comparable or better accuracy than the staggered grid formulations.
References
More filters
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.
Related Papers (5)
Numerical analysis of spectral methods : theory and applications
David Gottlieb,Steven A. Orszag +1 more