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
Coupling Spectral and Finite Elements for Second Order Elliptic Three-Dimensional Equations
Faker Ben Belgacem,Yvon Maday +1 more
TL;DR: This paper deals with the approximation of elliptic second order problems with a nonconforming domain decomposition method that allows for coupling spectral and finite element discretizations in three dimensions and presents two kinds of matching conditions at the interfaces between the subdomains.
Journal ArticleDOI
Newmark local time stepping on high-performance computing architectures
TL;DR: An efficient multilevel LTS-Newmark scheme is developed and implemented in a widely used continuous finite element seismic wave-propagation package that can be implemented very efficiently with very strong element-size contrasts.
Posted Content
A spectral-infinite-element solution of Poisson's equation: an application to self gravity
Hom Nath Gharti,Jeroen Tromp +1 more
TL;DR: In this paper, a spectral element method with a mapped infinite-element method was proposed to solve the weak form of the Poisson/Laplace equation in geostatics and geodynamics.
Journal ArticleDOI
Laminar syngas–air premixed flames in a closed rectangular domain: DNS of flame propagation and flame/wall interactions
TL;DR: In this article, the propagation of a lean laminar premixed syngas-air flame is investigated numerically in a confined rectangular domain with isothermal walls at a temperature that is lower than that of the unburned mixture.
Journal ArticleDOI
Effect of turbulent inflow boundary condition in les of flow over a backward-facing step using spectral element method
TL;DR: In this paper, a stochastic model for generating inflow turbulence is implemented and compared to the method of generating Inflow turbulence with random fluctuations, which leads to laminarization of the flow in the inlet channel.
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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