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
Numerical study of unstable hydrogen/air flames: Shape and propagation speed
TL;DR: In this paper, extensive numerical simulations with detailed chemistry and transport are performed to identify the range of dominance (in terms of equivalence ratio and domain size) of the hydrodynamic instability, the shape of the structures that evolve at long times, and their propagation speed.
Journal ArticleDOI
Galerkin and discontinuous Galerkin spectral/hp methods
TL;DR: The basic algorithms of spectral/ hp methods on tetrahedral and hybrid grids in the context ofGalerkin and discontinuous Galerkin projections are presented and algorithms for incompressible as well as compressible flows are formulated.
Journal ArticleDOI
Direct numerical simulations of laminar and transitional flows in diverging pipes
TL;DR: In this article, the authors investigated fluid flow in expansion pipe systems using direct numerical simulations and found that the onset of disordered motion and the dynamics of the localised turbulence patch are controlled by the Reynolds number, the perturbation amplitude and the half angle of the pipe.
Journal ArticleDOI
Recent advances in parallel spectral element simulation of unsteady incompressible flows
TL;DR: A high-efficiency medium-grained parallel spectral (high-order finite) element method for numerical solution of the unsteady incompressible Navier-Stokes equations in general time-dependent domains is presented.
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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