کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4670697 | 1633979 | 2010 | 5 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A new class of fractional step techniques for the incompressible Navier–Stokes equations using direction splitting A new class of fractional step techniques for the incompressible Navier–Stokes equations using direction splitting](/preview/png/4670697.png)
A new direction-splitting-based fractional time stepping is introduced for solving the incompressible Navier–Stokes equations. The main originality of the method is that the pressure correction is computed by solving a sequence of one-dimensional elliptic problems in each spatial direction. The method is very simple to program in parallel, very fast, and has exactly the same stability and convergence properties as the Poisson-based pressure-correction technique, either in standard or rotational form.
RésuméNous proposons une nouvelle famille d'algorithmes à pas fractionnaires basés sur la technique des directions alternées pour la résolution des équations de Navier–Stokes. Chaque étape de l'algorithme consiste à résoudre une série de problèmes uni-dimensionels. On démontre que la méthode est unconditionellement stable et convergente.
Journal: Comptes Rendus Mathematique - Volume 348, Issues 9–10, May 2010, Pages 581-585