English

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

Numerical Analysis 2025-10-20 v1 Computational Engineering, Finance, and Science Numerical Analysis Computational Physics

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.

Keywords

Cite

@article{arxiv.cs/0409056,
  title  = {Using sparse matrices and splines-based interpolation in computational fluid dynamics simulations},
  author = {Gianluca Argentini},
  journal= {arXiv preprint arXiv:cs/0409056},
  year   = {2025}
}

Comments

Talk at SIMAI (Societa' Italiana di Matematica Applicata e Industriale) 2004 Congress, Venice, San Servolo Island, September 20-24, 2004