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 Article
Numerical models of polymeric composite to simulate fatigue and ageing processes
TL;DR: In this paper, the possibility of applying numerical model of polymer composite, consisting of finite elements, to simulate dynamic acoustic and thermal processes was proved, which could allow to simulate complex structural processes taking place during fatigue and ageing degradation of composite.
Journal ArticleDOI
A novel quadrilateral element for analysis of functionally graded porous plates/shells reinforced by graphene platelets
TL;DR: In this paper, the authors presented numerical analyses of functionally graded porous plates/shells with graphene platelets reinforcement using a novel four-node quadrilateral element with five degrees of freedom per node, namely SQ4P, based on the first-order shear deformation theory and Chebyshev polynomials.
Journal ArticleDOI
Reduced basis model order reduction for Navier–Stokes equations in domains with walls of varying curvature
TL;DR: In this article, the Navier-Stokes equations in a channel with a narrowing and walls of varying curvature were considered and the empirical interpolation method was applied to generate an affine parameter dependency.
Journal ArticleDOI
A spectral solver for the Navier–Stokes equations in the velocity–vorticity formulation
TL;DR: In this paper, a numerical algorithm intended for the study of flows in a cylindrical container under laminar flow conditions is proposed, governed by the Navier-Stokes equation.
Journal ArticleDOI
A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations
Lizhen Chen,Jie Shen,Chuanju Xu +2 more
TL;DR: An unstructured nodal spectral-element method for the Navier-Stokes equations is developed, based on a triangular and tetrahedral rational approximation and an easy-to-implement nodal basis which fully enjoys the tensorial product property.
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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