R-FUNCTIONS METHOD FOR MATHEMATICAL MODELING OF VISCOUS INCOMPRESSIBLE FLUID FLOW PAST OBLATE ELLIPSOID OF REVOLUTION
Journal Title: World Science - Year 2018, Vol 2, Issue 5
Abstract
The stationary problem of flow past a body of revolution by viscous incompressible fluid is considered in the paper. To solve the above problem, the R-functions method is applied. With the help of R-functions the problem solution structure, which accurately takes into account all the boundary conditions of the problem and depends on some indeterminate components, is constructed. To determine these uncertain components, the nonlinear Galerkin method is applied. As a result, solution of the original problem is reduced to solving nonlinear algebraic equations system. A computational experiment was carried out for the problem of flow past an oblate ellipsoid of revolution at various Reynolds numbers. For the linear problem of slow flow (Stokes flow) a comparison of the obtained approximate solution with the known exact solution of the problem under consideration was made.
Authors and Affiliations
S. N. Lamtyugova
Keywords
Related Articles
- EP ID EP294279
- DOI -
- Views 120
- Downloads 0
СУЧАСНІ ПІДХОДИ ДО ВИРІШЕННЯ КОНФЛІКТІВ У НАВЧАЛЬНО-ВИХОВНОМУ ПРОЦЕСІ
As modern teaching involves necessity for the future teachers to acquire basic knowledge at conflictology, which are the ways of solving conflicts and peculiarities of the conflicts which arise during educational and bri...
ТЕОРЕТИЧЕСКИЕ И ПРАКТИЧЕСКИЕ ПОДХОДЫ К ОПРЕДЕЛЕНИЮ ОСОБЕННОСТИ ПСИХОЛОГИЧЕСКОЙ ПОМОЩИ ЖЕНАМ ПОГИБШИХ ПРАВООХРАНИТЕЛЕЙ ПРИ УТРАТЕ
The preambule gives the reasons for the relevance of the problem of experiencing the loss and grief of the perished law enforcers` wives in Ukraine, providing them with psychological counseling and the necessary psycholo...
UPGRADING THE PRESENT-DAY EDUCATION WITH THE HELP OF DISTANCE LEARNING
Quality education is one of the international community requirements to the training of specialists. The Republic of Kazakhstan is actively introducing new information technologies in the educational process to promote t...
IMPROVING THE PRODUCTIVITY STABILITY GRASSLANDS WITH GLOBAL CLIMATE CHANGE
Climate warming cannot but be reflected in the future on the structural and functional organization of grasslands and their productivity, as well as on strategic methods of their improvement. Our 20-years long studies sh...
ШЛЯХИ ФОРМУВАННЯ МАТЕМАТИЧНОЇ КОМПЕТЕНЦІЇ УЧНЯ
The article deals with the definition of mathematical competence. The basic ways of forming mathematical competence of students at the lessons of mathematics are determined.