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
Performance and Scalability of Finite Element Analysis for Distributed Parallel Computation
TL;DR: A two-dimensional (h, p) finite element scheme for distributed parallel computation is developed based on an element-by-element domain decomposition and is implemented on the nCUBE2 system.
Programa de maestría y doctorado en ingeniería
TL;DR: This thesis presents a model that estimates the time duration of routes formed by several intermediate nodes in mobile ad-hoc networks and shows that the timeduration of a route formed by N intermediate nodes can be accurately computed by considering the minimum route duration of a set of N routes of 3 nodes each.
Journal ArticleDOI
Dynamic Analysis of a Timoshenko Beam Subjected to an Accelerating Mass Using Spectral Element Method
TL;DR: In this paper, the spectral element method in time domain (TSEM) was used for a Timoshenko beam subjected to an accelerating mass using Lagrange polynomials supported on the Gauss-Lobatto-Legendre (GLL) points.
Journal ArticleDOI
Soft transition between subcritical and supercritical currents through intermittent cascading interfacial instabilities
Jorge Salinas,S. Balachandar,Mrugesh Shringarpure,Juan Fedele,David C. Hoyal,Mariano I. Cantero +5 more
TL;DR: The existence of an intermediate transcritical regime where the flow along the interface undergoes a cyclical transition between quiescent and highly intermittent turbulent states is reported on.
Journal ArticleDOI
Weak-inertial flow between two rough surfaces
TL;DR: In this paper, an asymptotic formulation of the three-dimensional Navier-Stokes equations is developed to study the influence of weak inertia on flows between rough surfaces, and the impact of the first correction on macroscopic flow due to inertia has been determined by solving these equations numerically.
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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