NUMERICAL METHODS IN FLUID DYNAMICS
Subtitle: Mathematics and Mechanics Series
By: Edited by N. N. Yanenko & Yu. I. Shokin
Edition: First edition
Series: Advances in science and technology in the USSR
Publisher: Mir
Published: 1984
Place of publication: Moscow, Russia
Language: eng
Translated from: rus
Translation of: Chislennye metody v dinamike zhidkosti
Format: Hardcover
Number of pages: 350
Copyright date: ©1984
Other titles: Chislennye metody v dinamike zhidkosti
First sentence: We present here a numerical method for the direct statistical computer simulation of the transport processes in rarefied gases and turbulent fluids. The method is developed with a view to applying the approaches to problems in fluid mechanics.
Description: This book is a collection of original papers by leading Soviet experts in numerical simulation of complex fluid-dynamic processes. The authors discuss a wide variety of models: incompressible fluid, plasma, overpressure and large deformations which produce shock waves and develop instabilities, taking into account the effects of thermal radiation and viscosity that lead to the formation of boundary layers. The variety of physical processes treated is mathched by the wealth of algorithmical approaches ranging from direct statistical simulation to approximate analytic solutions. The book presents the main tendencies in the current numerical methods of fluid dynamics: difference schemes, which allow approximation of drastically nonlinear and nonequilibrium processes, the particle-in-cell method, efficient implicit schemes based on the concepts of splitting, non regular grids, and direct statistical approximation. Much attention is given to theoretical aspects of numerical models: to the qualitative study of solutions to the classical Navier-Stokes equations and nonclassical equations which change type, and to the stability criteria of difference schemes.
Notes: Title on verso t.p.: Chislennye metody v dinamike zhidkosti
Includes bibliographies
Includes Errata.
Table of contents: title: -- Preface; title: -- Direct Statistical Simulation of Problems in Aerohydrodynamics by O. M. Belotserkovsky, A. I. Erofeyev, and V. E. Yanitsky; title: -- The Splitting Method for the Numerical Solution of Problems in Gas Dynamics by V. M. Kovenya and N. N. Yanenko; title: -- Simulation of Shock Waves in Rarefied Plasma by Yu. A. Berezin; title: -- The Use of Nonregular Nets for Solving Two-Dimensional Nonstationary Problems in Gas Dynamics by I. D. Sofronov, V. V. Rasskazova, and L. V. Nesterenko; title: -- The EGAC Method for Calculating Gas Flows of Heterogeneous Media in Eulerian Coordinates by S. M. Bakhrakh, M. S. Samigulin, V. P. Sevastianov, and Yu. V. Yanilkin; title: -- The Numerical Solution of Spectral Problems of Thermal Radiation Transport by Iterative Correction Methods by V. A. Yelesin, V. E. Troshchiyev, and V. F. Yudintsev; title: -- Numerical Simulation of Tsunamis by An. G. Marchuk, L. B. Chubarov, and Yu. I. Shokin; title: -- Application of Characteristic Series to the Solution of Three- Dimensional Problems in Gas Dynamics by A. F. Sidorov; title: -- Investigation of the Dissipative Properties of Difference Schemes for the Gas-Dynamics Equations by V. F. Kuropatenko; title: -- On Complete Conservatism of Difference Schemes by F. V. Iva- nov, Z. I. Fedotova, and Yu. I. Shokin; title: -- Local and Nonlocal Stability Conditions of Difference Schemes for Calculating Gas-Dynamics Problems in Lagrangian Coordinates by Yu. A. Bondarenko, V. V. Zmushko, and A. M. Stenin; title: -- A Modification of the Spectral Method for Investigating the Sta- bility of Difference Schemes by N. A. Ismailova and V. E. Kondrashov; title: -- On the Approximation of the Navier-Stokes Equations for an Incompressible Fluid by Evolutionary-Type Equations by N. N. Yanenko, B. G. Kuznetsov, and Sh. Smagulov; title: -- Towards a Theory of Variable-Type Nonlinear Equations by N. A. Lar'kin, V. A. Novikov, and N. N. Yanenko