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
Localized Meshless Modeling of Natural-Convective Viscous Flows
Eduardo Divo,Alain J. Kassab +1 more
TL;DR: In this article, a localized radial basis function (RBF) collocation meshless method is developed for natural-convection heat transfer problems in fully viscous fluid flows, and the expansion method is based on the localized collocation of polynomial-augmented Hardy multiquadrics RBF.
Journal ArticleDOI
Direct numerical simulation of the flow around a wall-mounted square cylinder under various inflow conditions
TL;DR: In this article, the effect of inflow conditions is assessed by considering two different cases with matching momentum-thickness Reynolds numbers Reθ ≃ 1000 at the obstacle: the first case is a fullyturbulent zero pressure gradient boundary layer, and the second one is a laminar boundary layer with prescribed Blasius inflow profile further upstream.
Journal ArticleDOI
Secondary flow in turbulent ducts with increasing aspect ratio
TL;DR: Direct numerical simulations of turbulent duct flows with aspect ratios 1, 3, 5, 7, 10, and 14.4 at a center-plane friction Reynolds number Re-tau,Re- c similar or equal to 180, and aspect ratio 1...
Journal ArticleDOI
Mechanically based models: Adaptive refinement for B‐spline finite element
TL;DR: In this article, two new methods for adaptive refinement of a B-spline finite element solution within an integrated mechanically-based computer aided engineering system are presented, a local variant of np-refinement and a local version of h-refining.
Journal ArticleDOI
On scaling of diffuse-interface models
TL;DR: In this paper, the authors studied the mixing of two immiscible fluids in a lid-driven cavity flow where the interface between the two fluids is stretched roughly linearly with time, before break-up events start.
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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