@inproceedings{3935c5fc8fe8420aa36266e64aa5f3dc,

title = "Stability investigation of a difference scheme for incompressible navier-stokes equations",

abstract = "We investigate the stability of the modified difference scheme of Kim and Moin for numerical integration of two-dimensional incompressible Navier-Stokes equations by the Fourier method and by the method of discrete perturbations. The obtained analytic-form stability condition gives the maximum time steps allowed by stability, which are by factors from 2 to 58 higher than the steps obtained from previous empirical stability conditions. The stability criteria derived with the aid of CAS Mathematica are verified by numerical solution of two test problems one of which has a closed-form analytic solution.",

author = "Dmytro Chibisov and Victor Ganzha and Mayr, {Ernst W.} and Vorozhtsov, {Evgenii V.}",

year = "2007",

doi = "10.1007/978-3-540-75187-8_8",

language = "English",

isbn = "9783540751861",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "102--117",

booktitle = "Computer Algebra in Scientific Computing - 10th International Workshop, CASC 2007, Proceedings",

note = "10th International Workshop on Computer Algebra in Scientific Computing, CASC 2007 ; Conference date: 16-09-2007 Through 20-09-2007",

}