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Article information
2001 , Volume 6, ¹ 4, p.51-60
Ovchinnikova E.V., Frank A.M.
On approximation properties of one discrete model of incompressible fluid
The approximation of fluid dynamics equations by a discrete model which is in fact symplified version of method of particles for incompressible fluid is studied. It is shown that when the discrete conditions of incompressibility are imposed only in the nodes of a certain grid, the momentum equation is approximated in the weak sense. The strong approximation takes place when the discrete conditions of incompressibility are satisfied for each particle.
[full text] Classificator Msc2000:- *76M28 Particle methods and lattice-gas methods
Keywords: discrete model, weak approximation, strong approximation, momentum equation, particle method, discrete incompressibility condition
Author(s):
Ovchinnikova E.V.
Address: 660036, Russia, Krasnoyarsk
Frank A.M.
Dr. , Professor
Position: General Scientist
Address: 660036, Russia, Krasnoyarsk
E-mail: frank@icm.krasn.ru
Bibliography link:
Ovchinnikova E.V., Frank A.M. On approximation properties of one discrete model of incompressible fluid // Computational technologies. 2001. V. 6. ¹ 4. P. 51-60
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