Journal ArticleDOI
A spectral element method for fluid dynamics: Laminar flow in a channel expansion
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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
Numerical analysis of elastic wave mode conversion on discontinuities
TL;DR: In this article, numerical analysis of S0/A0 elastic wave mode conversion at discontinuities in glass fiber reinforced polymer (GFRP) plates is presented, based on spectral element method in the time domain.
Journal ArticleDOI
Numerical simulation of propagating circular and cylindrical lean premixed hydrogen/air flames
TL;DR: In this article, the evolution of expanding, lean (equivalence ratio ϕ = 0.6), premixed 2-D circular and 3-D cylindrical H2/air flames is investigated numerically using a single-step reaction and detailed transport.
DissertationDOI
Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications
TL;DR: This thesis addresses the numerical approximation of the incompressible Navier-Stokes equations evolving in a moving domain with the spectral element method and high order time integrators and applies the developed method with an implicit fully coupled and semi-implicit approach to solve a fluid-structure interaction problem.
Direct numerical simulation of three-dimensional flow and augmented heat transfer in a grooved channel
TL;DR: In this paper, the spectral element technique was used to simulate three-dimensional flow and augmented convective heat transfer in a transversely grooved channel for the Reynolds number range 140 < Re < 2000.
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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