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
Grid dispersion and stability criteria of some common finite-element methods for acoustic and elastic wave equations
Jonás D. De Basabe,Mrinal K. Sen +1 more
TL;DR: In this paper, the dispersive behavior of FEMs for acoustic or elastic wave propagation is analyzed and compared with grid-dispersion results of classical finite-difference methods.
Journal ArticleDOI
The exponential accuracy of Fourier and Chebyshev differencing methods
TL;DR: In this article, it was shown that when differencing analytic functions using pseudospectral Fourier or Chebyshev methods, the error committed decays to zero at an exponential rate.
Journal ArticleDOI
A numerical and theoretical study of the first Hopf bifurcation in a cylinder wake
TL;DR: In this paper, the first Hopf bifurcation of the infinite cylinder wake is analyzed theoretically and by direct simulation, and it is shown that a decomposition into a series of harmonics is a convenient theoretical and practical tool for this investigation.
Journal ArticleDOI
Modelling of wave propagation in composite plates using the time domain spectral element method
TL;DR: In this paper, the authors present results of numerical simulation of the propagation of transverse elastic waves corresponding to the A0 mode of Lamb waves in a composite plate, using the Spectral Element Method.
Journal ArticleDOI
Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
TL;DR: A discontinuous Galerkin finite element method (DGFEM) along with recently introduced high-order implicit-explicit Runge-Kutta (IMEX-RK) schemes to overcome geometry-induced stiffness in fluid-flow problems.
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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