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
Nonlinear interaction of shear flow with a free surface
TL;DR: In this paper, the authors studied the nonlinear evolution of two-dimensional shear-flow instabilities near the ocean surface using a direct simulation of the incompressible Euler equations subject to the dynamic and kinematic boundary conditions at the free surface.
Journal ArticleDOI
Least-squares spectral element method for radiative heat transfer in semitransparent media
Junming Zhao,Li Liu +1 more
TL;DR: In this article, a least square spectral element method based on the discrete-ordinate equation is developed to solve multidimensional radiative heat transfer problems in semitransparent media.
Journal ArticleDOI
Stable spectral methods for conservation laws on triangles with unstructured grids
Jan S. Hesthaven,David Gottlieb +1 more
TL;DR: Lagrange interpolation on a general two-dimensional nodal set is employed and, by imposing the boundary conditions weakly through a penalty term, the scheme is proven stable in L-2 and shown to result in an O(n(-2) restriction on the time-step when considering explicit time-stepping.
Journal ArticleDOI
Certain numerical issues of wave propagation modelling in rods by the Spectral Finite Element Method
Arkadiusz Żak,Marek Krawczuk +1 more
TL;DR: In this paper, the results of numerical simulations obtained by the authors and related with the use of single-mode, two-mode and higher order rod behaviour theories are discussed and studied in details.
Journal ArticleDOI
Progress in direct numerical simulation of turbulent transport and its control
TL;DR: In this article, a direct numerical simulation of a channel flow under coupled dynamical effects of buoyant and Coriolis forces reveals peculiar phenomena of momentum and heat transfer with the quasi-coherent structures being strikingly altered.
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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