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Using sparse matrices and splines-based interpolation in computational fluid dynamics simulations

2004/09/29 by Gianluca Argentini, Argentini, Gianluca
Computer Science · Earth and Planetary Sciences · Physics and Astronomy · #C.1.4 #Computational Engineering #Computational Physics (physics.comp-ph) #D.1.3 #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Finance #G.1.0 #Geophysics and Gravity Measurements #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Scientific Research and Discoveries #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.cs/0409056

openalex publication_date 2004/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this relation I present a technique of construction and fast evaluation of a family of cubic polynomials for analytic smoothing and graphical rendering of particles trajectories for flows in a generic geometry. The principal result of the work was implementation and test of a method for interpolating 3D points by regular parametric curves and their fast and efficient evaluation for a good resolution of rendering. For the purpose a parallel environment using a multiprocessor cluster architecture has been used. This work has been developed for the Research and Development Department of my company for planning advanced customized models of industrial burners.

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