Cover Rabinovich Boris I., Tyurin Yuri V. Numerical Conformal Mapping in Two-Dimensional Hydrodynamics
Id: 7672
19.9 EUR

Numerical Conformal Mapping in Two-Dimensional Hydrodynamics.

312 pp. (English). Paperback. ISBN 5-85692-033-3.

This book presents a new numerical method of conformal mapping (the RT-algorithm) based on the R and T procedures. Solutions are given for arbitrary simply connected and doubly connected domains with piecewise - smooth contours. The continuum mechanics, including hydrodynamics, electrodynamics and elasticity theory.

The bool encompasses a wide range of numerical methods and computer techniques, including computer graphics. Problems analyzed are at the forefront of applied problems in modern technology.

Solutions to boundary-value problems on the unit circle and circular annulus are obtaines by systematic use of Taylor an Laurent series, the Ritz method, finite elements, and the conjugate-vortex method. Analytical solutions and experimental data are to verfy results of the numerical computations obtained by the RT-algorithm.




Chapter 1. Lavrentiev Variational Principle and Auxiliary Transformations.

Chapter 2. RT-Algorithm for Conformal Mapping of an Arbitrary Fomain onto the Unit Circle and of a Doubly Connected Domain onto the Circular Annulus.

Chapter 3. Exterior Problems of Hydrodynamics.

Chapter 4. Interior Problems of Hydrodynamics.

Chapter 5. Liquid Sloshing in Cavities.