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Article information
2011 , Volume 16, ¹ 6, p.38-47
Kovenya V.M.
On the stability of splitting schemes and approximate factorization for solving systems of multivariate equations
The analysis of properties of the implicit difference schemes for numerical solution of Euler and Navier---Stokes equations for incompressible fluid is carried out. It is shown that difference schemes of approximate factorization with splitting based on spatial variables already lose properties of unconditional stability in the two-dimensional case.
[full text]
Keywords: Euler end Navier - Stokes equations, difference scheme, splitting methods, factorization method
Author(s):
Kovenya Viktor Mikhailovich
Dr. , Professor
Position: General Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, academician M.A. Lavrentiev avenue, 6
Phone Office: (383) 330 61 68
E-mail: kovenya@ict.nsc.ru
Bibliography link:
Kovenya V.M. On the stability of splitting schemes and approximate factorization for solving systems of multivariate equations // Computational technologies. 2011. V. 16. ¹ 6. P. 38-47
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