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
Wave Propagation Analysis in Composite Laminates Containing a Delamination Using a Three-Dimensional Spectral Element Method
TL;DR: In this paper, a three-dimensional spectral element (SEM) method was developed for analysis of Lamb wave propagation in composite laminates containing a delamination, and the effectiveness of the method was validated by comparison of the simulation results with analytical solutions based on transfer matrix method.
Journal ArticleDOI
A time-domain high-order spectral finite element for the simulation of symmetric and anti-symmetric guided waves in laminated composite strips
TL;DR: In this article, a time domain spectral finite element is developed for improving the efficiency of numerical simulations of guided waves in laminated composite strips, which relies on a new generalized laminate mechanics model formulated to represent symmetric and anti-symmetric Lamb waves.
Journal ArticleDOI
A Legendre spectral element method on a large spatial domain to solve the predator–prey system modeling interacting populations
Mehdi Dehghan,Mania Sabouri +1 more
TL;DR: In this paper, a Legendre spectral element method is developed for solving a one-dimensional predator-prey system on a large spatial domain, where the predator response is Holling type II and the initial data are discontinuous.
Journal ArticleDOI
Spectral element methods for nonlinear spatio-temporal dynamics of an Euler-Bernoulli beam
TL;DR: In this paper, the space-time spectral element (STSE) method is employed to solve a simply supported modified Euler-Bernoulli nonlinear beam undergoing forced lateral vibrations.
Journal ArticleDOI
Some uses of Green's theorem in solving the Navier-Stokes equations
TL;DR: In this paper, a review of methods where Green's theorem may be employed in solving numerically the Navier-Stokes equations for incompressible fluid motion is given, based on the concept of using the theorem to transform local boundary conditions given on the boundary of a closed region in the solution domain into global, or integral, conditions taken over it.
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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