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
A spectral-element/finite-element analysis of a ship-like structure subjected to an underwater explosion
TL;DR: In this paper, an improved procedure for simulating the response of a surface ship to an underwater explosion is demonstrated by examining transient responses for a 31,000-degree-of-freedom finite-element model of ship-like structure.
Journal ArticleDOI
On multi-scale dispersion under the influence of surface mixed layer instabilities and deep flows
Tamay M. Özgökmen,Andrew C. Poje,Paul Fischer,Hank Childs,Harinarayan Krishnan,Christoph Garth,Angelique C. Haza,Edward H. Ryan +7 more
TL;DR: In this paper, a series of large eddy simulations is used to assess the transport properties of multi-scale ocean flows and the authors compare scale-dependent measures of Lagrangian relative dispersion and the evolution of passive tracer releases in models containing only submesoscale mixed layer instabilities and those containing mixed-layer instabilities modified by deeper, baroclinic mesoscale disturbances.
Journal ArticleDOI
The Optimized Schwarz Method with a Coarse Grid Correction
TL;DR: Numerical experiments illustrating the effectiveness of OSM with a coarse grid correction, both as an iteration and as a preconditioner, are reported.
Journal ArticleDOI
A 3-D Discontinuous Spectral Element Time-Domain Method for Maxwell's Equations
TL;DR: A discontinuous spectral element time-domain method is proposed to analyze transient electromagnetic properties of general 3-D structures and the validity of the proposed approach is demonstrated through several numerical examples of initial value problems and scattering problems.
Journal ArticleDOI
BeamDyn: a high-fidelity wind turbine blade solver in the FAST modular framework
TL;DR: In this article, a numerical implementation of the geometrically exact beam theory based on the Legendre-spectral-finite element (LSFE) method is presented, and the special treatment of three-dimensional rotation parameters is reviewed.
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.
Related Papers (5)
Numerical analysis of spectral methods : theory and applications
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