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
Particles in turbulent separated flow over a bump: Effect of the Stokes number and lift force
TL;DR: In this paper, the effects of the Stokes number and the lift force on the particle spatial distribution were analyzed in a particle-laden turbulent flow that separates due to a bump inside a channel, and the results showed that the effect of lift forces on particle concentration is dominant in regions of high spanwise vorticity, particularly at the walls and in the shear layer.
Journal ArticleDOI
A higher order transversely deformable shell-type spectral finite element for dynamic analysis of isotropic structures
Arkadiusz Żak,Marek Krawczuk +1 more
TL;DR: In this article, the authors deal with certain aspects related to the dynamic behaviour of isotropic shell-like structures analyzed by the use of a higher order transversely deformable shell-type spectral finite element newly formulated and the approach known as the Time-domain Spectral Finite Element Method (TD-SFEM).
Journal ArticleDOI
A Spectral Multidomain Method for the Numerical Simulation of Turbulent Flows
TL;DR: In this article, the primitive variable formulation of the unsteady incompressible Navier?Stokes equations in three space dimensions is discretized with a combined Fourier?Legendre spectral method.
Journal ArticleDOI
A global shallow-water model on an icosahedral–hexagonal grid by a multi-moment constrained finite-volume scheme
TL;DR: In this article, a third-order global shallow-water model was developed on an icosahedral-hexagonal grid with the application of the multi-moment constrained finite volume (MCV) method.
Journal ArticleDOI
Heat transfer enhancement in grooved channels due to flow bifurcations
TL;DR: In this article, the spectral element methods for increasing Reynolds numbers in the laminar and transitional regimes were used to simulate the flow bifurcation scenario and heat transfer characteristics in grooved channels.
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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