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 new triangular spectral element method I: implementation and analysis on a triangle
TL;DR: This paper serves as the first effort to develop a new triangular spectral element method (TSEM) on unstructured meshes, using the rectangle–triangle mapping, and shows that this transform only induces a logarithmic singularity, which allows for a fast, stable and accurate numerical algorithm for its removal.
Book ChapterDOI
Simulation of Seismic Wave Propagation in an Asteroid Based upon an Unstructured MPI Spectral-Element Method: Blocking and Non-blocking Communication Strategies
TL;DR: In this paper, seismic wave propagation in asteroid 433-Eros is performed numerically based on a spectral-element method at frequencies lying between 2 Hz and 22 Hz, where the unstructured meshes are partitioned using the METIS software package in order to minimize edge cuts and therefore optimize load balancing in parallel blocking or non-blocking MPI implementations.
Book ChapterDOI
Some Current Issues In The Analysis Of Reacting Shear Layers: Computational Challenges
Peyman Givi,James J. Riley +1 more
TL;DR: An overview of modern computational techniques for the numerical treatments of chemically reacting unsteady shear layers is presented in this paper, with emphasis placed upon the physical phenomena described by the simulations of these flows, together with an explanation of the capabilities and limitations of various CFD techniques in capturing these phenomena.
Journal ArticleDOI
Domain decomposition algorithms for spectral methods
TL;DR: In this paper, the alternating Schwarz algorithm and a flux preserving domain decomposition algorithm are considered and some theoretical convergence results are given for both of them.
Journal ArticleDOI
Effect of artificial length scales in large eddy simulation of a neutral atmospheric boundary layer flow: A simple solution to log-layer mismatch
Tanmoy Chatterjee,Yulia Peet +1 more
TL;DR: In this article, the effect of artificial length scales due to subgrid scale (SGS) and near wall modeling (NWM) on the scaling laws and structure of the inner and outer layer eddies is studied using varying SGS and NWM parameters in the spectral element framework.
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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