|
1 |
Name of the course |
Numerical methods for fluid mechanics |
|
2 |
Course of study, specialty |
4, specialty “ Mechanics and mathematical modeling” |
|
3 |
Semester |
7 |
|
4 |
number of credits |
4 |
|
5 |
Lecturer |
Senior lecturer D. E. Shevchenko |
|
6 |
objectives of the discipline |
to Study the class of problems of fluid motion in a porous medium. Application of the boundary integral equation method and numerical solution methods. Implementation of numerical calculations on the computer. As a result of studying the student should be able to: – give a correct formulation of the boundary value problem for filtration flows. – correctly apply algorithms of numerical solution of problems by the method of integral equations. – implement a numerical algorithm for solving the problem on the computer. – study the convergence of the solution on different grids.
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|
7 |
Prerequisites |
Hydrodynamics |
|
8 |
course Contents |
Some problems of the theory of filtrations of a viscous fluid in a porous medium. Theory of potential and the method of boundary integral equations. The main stages of mathematical modeling of filtration processes. |
|
9 |
Recommended reading |
• Arsenin V. Y. Methods of mathematical physics and special functions. Textbook. Moscow: Science. 1984. • Belotserkovsky S. M., Lifanov I. K. Numerical methods in singular integral equations. Moscow: Science. 1985. • Kantorovich L. V., Krylov V. I. Approximate methods of higher analysis. M. – L.: GIFML. 1962. • Verlan A. F., Sizikov V. S. Integral equations: methods, algorithms, programs. Kyiv: Naukova Dumka . 1986. • Derbisova V. A. the Solution of Laplace equations by the method of boundary integral equations. Moscow: Moscow state University. 1985. Ortega D., Reinboldt V. Iterative methods for solving nonlinear systems of equations with many unknowns. Moscow: Science. 1975. • Bernadiner M. G., Entov V. M. Hydrodynamic theory of filtration of anomalous liquids. Moscow: Science. 1975. Danilov V. L., Katz R. M. Hydrodynamic calculations of mutual displacement of liquid in a porous medium. Moscow: Science. 1980. |
|
10 |
methods of teaching |
Lectures, computational practice |
|
11 |
language of instruction |
Russian |
|
12 |
Conditions (requirements) |
– Colloquium – individual tasks |
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13 |
Form current certification |
Standings |