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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Two-Dimensional Multi-Domain Hybrid Spectral-WENO Methods for Conservation Laws
TL;DR: The main idea of the Hybrid scheme is to conjugate the spectral and WENO methods for solving problems with shock or high gradients such that the scheme adapts its solver spatially and temporally depending on the smoothness of the solution in a given subdomain.
Journal ArticleDOI
Animation of Deformable Bodies with Quadratic Bézier Finite Elements
Adam W. Bargteil,Elaine Cohen +1 more
TL;DR: This article considers both integrating quadratic elements with conventional linear elements to achieve a computationally efficient adaptive-degree simulation framework as well as wholly quadratics elements for the simulation of nonlinear rest shapes for graphical animation of deformable bodies.
Book ChapterDOI
Advances in Computational Methods for Free-Surface Flows
TL;DR: In this article, a wide variety of mechanisms, including inhomogeneities or foreign matter in the coating solutions, disturbances induced by equipment vibration or uncontrolled air flow, various wetting phenomena, and flow instabilities that grow in a coating device but partially decay further downstream, almost exclusively arise from catastrophic hydrodynamic instabilities.
Journal ArticleDOI
Experimental and numerical study on damage detection in an L-joint using guided wave propagation
TL;DR: In this paper, the authors considered longitudinal and flexural wave propagation in a steel L-joint and compared the usefulness of axial and flexurant wave propagation for non-destructive damage detection for this typical structural component.
Journal ArticleDOI
High-order Galerkin methods for scalable global atmospheric models
TL;DR: Three different high-order finite element methods are used to solve the advection problem-two implementations of a discontinuous Galerkin and a spectral element (high-order continuousGalerkin) method, which are shown to be easily and efficiently scaled across multiple-processor distributed memory machines.
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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