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
Seismic imaging: From classical to adjoint tomography
Qinya Liu,Yu Jeffrey Gu +1 more
TL;DR: In this article, the authors provide an overview of classical tomography methods, key debates pertaining to the resolution of mantle tomographic models, as well as recent theoretical and computational advances in forward-modeling methods that spearheaded the developments in accurate computation of sensitivity kernels and adjoint tomography.
Journal ArticleDOI
Spectral element multigrid. I. Formulation and numerical results
TL;DR: A variational spectral element multigrid algorithm that is readily parallelized within the context of a medium-grained paradigm, and results are presented for a one-dimensional Poisson equation on a finite interval.
Journal ArticleDOI
Analysis of iterative methods for the steady and unsteady Stokes problem: application to spectral element discretizations
TL;DR: A new and detailed analysis of the basic Uzawa algorithm for decoupling of the pressure and the velocity in the steady and unsteady Stokes operator is presented, focusing on explicit construction of the Uzawa pressure-operator spectrum for a semiperiodic model problem.
Journal ArticleDOI
Minimum-dissipation transport enhancement by flow destabilization: Reynolds’ analogy revisited
TL;DR: In this paper, it is shown that the addition of small cylinders to a plane channel results in stability modes that are little changed in form or frequency from plane-channel Tollmien-Schlichting waves, and it thus follows from the transport-stability theory that eddy-promoter flows achieve the same heat transfer rates as turbulent flows while incurring significantly less dissipation.
Journal ArticleDOI
Spectral Methods on Arbitrary Grids
Mark H. Carpenter,David Gottlieb +1 more
TL;DR: Stable and spectrally accurate numerical methods are constructed on arbitrary grids for partial differential equations that are equivalent to conventional spectral methods but do not rely on specific grid distributions.
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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