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
Regularization modelling for large-eddy simulation in wall-bounded turbulence: An explicit filtering-based approach
Tanmoy Chatterjee,Yulia Peet +1 more
TL;DR: In this article, a comprehensive analysis of a filtering-based regularization model for large-eddy simulation has been carried out for fully developed turbulent channel flow, and its potency as a largeeddy simulation candidate has been tested by comparison with eddy-viscosity subgrid-scale models.
Journal ArticleDOI
Thermoacoustic tomography forward modeling with the spectral element method.
TL;DR: A thermoacoustic tomography forward solver based on the spectral element method (SEM) with perfectly matched layer absorbing boundary condition has been developed and is able to simulate a large-scale and realistic TAT problem.
Journal ArticleDOI
Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics
TL;DR: In this paper, the dispersion properties of a plane square biquadratic serendipity finite element are examined and compared with a bilinear one, and a dispersive improved lumped mass matrix is proposed.
Journal ArticleDOI
Performance of continuous mass-lumped tetrahedral elements for elastic wave propagation with and without global assembly
TL;DR: This work considers isotropic elastic wave propagation with continuous mass-lumped finite elements on tetrahedra with explicit time stepping and finds that among the three degrees, the element of degree 3 is the most efficient in terms of accuracy at a given cost.
Journal ArticleDOI
Heat-transfer analysis of a transitional boundary layer over a concave surface with Görtler vortices by means of direct numerical simulations
TL;DR: In this paper, the development of a thermal boundary layer during the laminar-to-turbulent transition process over a concave surface is studied, where the temperature variable is treated as a passive scalar.
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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