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
A three-dimensional explicit sphere function-based gas-kinetic flux solver for simulation of inviscid compressible flows
Liming Yang,Chang Shu,Jie Wu +2 more
TL;DR: Numerical results showed that the present flux solver can provide accurate numerical results for three-dimensional inviscid flows with strong shock waves, and is derived from a simple distribution function defined on the spherical surface in the phase velocity space.
Journal ArticleDOI
Influence of pulsating submerged liquid jets on chip-level thermal phenomena
Proceedings Article
Domain decomposition methods in computational fluid dynamics
William Gropp,David E. Keyes +1 more
TL;DR: The divide-and-conquer paradigm of iterative domain decomposition has become a practical tool in computational fluid dynamic applications because of its flexibility in accommodating adaptive refinement through locally uniform (or quasi-uniform) grids, its ability to exploit multiple discretizations of the operator equations, and the modular pathway it provides towards parallelism as discussed by the authors.
Journal ArticleDOI
Critical assessment of different mass lumping schemes for higher order serendipity finite elements
Sascha Duczek,Hauke Gravenkamp +1 more
TL;DR: In this paper, a detailed analysis of the influence and performance of these mass-lumping schemes on the numerical results is conducted, showing that only suboptimal rates of convergence are attained if serendipity finite elements based on a diagonal mass matrix are employed.
Journal ArticleDOI
A mixed-grid finite element method with PML absorbing boundary conditions for seismic wave modelling
TL;DR: In this paper, a mixed-grid finite element method (MGFEM) is proposed to simulate seismic wave propagation in 2D structurally complex media, which divides the physical domain into two subdomains.
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.
Related Papers (5)
Numerical analysis of spectral methods : theory and applications
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