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
High-resolution coupled physics solvers for analysing fine-scale nuclear reactor design problems
Vijay S. Mahadevan,Elia Merzari,Timothy J. Tautges,Rajeev Jain,Aleksandr Obabko,Michael Smith,Paul Fischer +6 more
TL;DR: An integrated multi-physics simulation capability for the design and analysis of current and future nuclear reactor models is being investigated, to tightly couple neutron transport and thermal-hydraulics physics under the SHARP framework.
Domain Decomposition: A Bridge between Nature and Parallel Computers
TL;DR: This paper progresses from a mathematically informal motivation for domain decomposition methods to a specific focus on fluid dynamics applications, and employs simple examples, and leaves convergence proofs and algorithmic details to the original references.
Journal ArticleDOI
Controllability method for the Helmholtz equation with higher-order discretizations
TL;DR: Higher-order approximation reduces the pollution effect associated with finite element approximation of time-harmonic wave equations, and mass lumping makes explicit time-stepping schemes for the wave equation very efficient.
Journal ArticleDOI
High-order computational fluid dynamics tools for aircraft design
TL;DR: The accuracy, efficiency, robustness, scalability and geometric flexibility will determine which methods will be adopted in the design process and these aspects are explored and identifies pacing items.
Journal ArticleDOI
Chaotic advection in a steady, three-dimensional, Ekman-driven eddy
TL;DR: In this paper, the authors investigated and quantified the stirring due to chaotic advection within a steady, three-dimensional, Ekman-driven, rotating cylinder flow, characterized by strong background rotation, and explored variations in Ekman and Rossby numbers, and, over ranges appropriate for the ocean mesoscale and submesoscale.
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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