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
Swept wing boundary-layer receptivity to localized surface roughness
TL;DR: In this article, the receptivity to localized surface roughness of a swept-wing boundary layer is studied by direct numerical simulation (DNS) and computations using the parabolized stability equations (PSEs), where micron-sized cylinders were used to trigger steady crossflow modes.
Journal ArticleDOI
Spectral/hp element methods: recent developments, applications, and perspectives
Hui Xu,Chris D. Cantwell,Carlos Monteserin,Claes Eskilsson,Allan Peter Engsig-Karup,Spencer J. Sherwin +5 more
TL;DR: The spectral/hp element method as mentioned in this paper combines the geometric flexibility of the classical h-type finite element technique with the desirable numerical properties of spectral methods, employing high-degree piecewise polynomial basis functions on coarse finite element-type meshes.
Journal ArticleDOI
Lattice Boltzmann method for direct numerical simulation of turbulent flows
Shyam S. Chikatamarla,Christos E. Frouzakis,Iliya V. Karlin,Ananias G. Tomboulides,Konstantinos Boulouchos +4 more
TL;DR: In this article, a high-order lattice Boltzmann (LB) model was used to simulate the Kida vortex flow, a prototypical turbulent flow, using direct numerical simulations.
Journal ArticleDOI
An exact spectral-dynamic stiffness method for free flexural vibration analysis of orthotropic composite plate assemblies – Part I: Theory
Xiang Liu,J.R. Banerjee +1 more
TL;DR: An exact spectral-dynamic stiffness method (S-DSM) for free vibration analysis of composite plates and plate assemblies has been proposed in this paper, which gives exact solutions with high computational efficiency within low as well as high frequency ranges.
Journal ArticleDOI
Stabilization of spectral methods by finite element bubble functions
TL;DR: In this paper, a standard spectral collocation scheme can be stabilized by adding extra trial/test functions with local support (bubbles), and applications are given to a scalar advection-diffusion problem and to the Stokes problem.
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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