2012 2(10)

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   Short abstract

 

Pages:

220 - 225

Language:

EN

Ref.:

6


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2012_2(10)_39.pdf

 

 

NUMERICAL IMPLEMENTATION OF THE METHOD OF BOUNDARY INTEGRAL EQUATIONS IN BOUNDARY VALUE PROBLEMS OF HYDRODYNAMICS

Krashanitsa Yu.A.

National aerospace university named after N.E.Zhukovsky, Kharkov, Ukraine


Citation:

Krashanitsa, Yu.A., (2012) Numerical implementation of the method of boundary integral equations in boundary value problems of hydrodynamics, Modern Science: Researches, Ideas, Results, Technologies, Iss. #2(10), PP. 220 - 225.


Keywords:

system of differential equations of Navier-Stokes; hydrodynamic potentials; boundary integral equations; numerical solutions


Abstracts:

Abstract.Presents the results of some generalizations of the original vector and tensor analysis and its applications in terms of the method of boundary integral equations and its numerical implementation for solving nonlinear boundary value problems of hydrodynamics. In this work, a new generalized approach to obtain analytical and numerical solutions for a wide class of nonlinear problems in continuum mechanics is presented. New approach and required formal apparatus for the formulation of the boundary integral equations, equivalent to the initial-boundary problems of the main mathematical models in mechanics of fluid and gas, are developed.


References:

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  3. B. Pobedrya. Lectures on Tensor Analysis.М.: Publishing house МSU, 1979. - 223 p.

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  6. Yu. Krashanitsa. Triangulation method of numerical realization of the spatial boundary value problems of viscous fluid dynamics / YA Krashanitsa, MT Ngo / / Proceedings of the Academy of Engineering Sciences of Ukraine. Special Issue. Mechanical engineering and advanced technology. - 2009 - № 1 (38), 158 - 161.

 

 
     

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