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Go to cartISBN: 9788130931135
Bind: Hardbound
Year: 2015
Pages: 296
Size: 153 x 229 mm
Publisher: Cambridge International Science Publishing
Published in India by: Viva Books
Exclusive Distributors: Viva Books
Sales Territory: India, Nepal, Pakistan, Bangladesh, Sri Lanka
Description:
The authors present the results of numerical experiments carried out to examine the problem of development of turbulence and convection. On the basis of the results, they propose a physical model of the development of turbulence. Numerical algorithms and difference schema for carrying out numerical experiments in hydrodynamics, are proposed. Original algorithms, suitable for calculation of the development of the processes of turbulence and convection in different conditions, even on astrophysical objects, are presented. The results of numerical modelling of several important phenomena having both fundamental and applied importance are described.
Contents:
Chapter 1 Fundamental aspects of the direct numerical modelling of free turbulence and hydrodynamic instabilities
Introduction • Problem of “rational” averaging in numerical examination of turbulence • Some experimental assumptions • General formulation of the problem • The modelling of coherent structures in turbulence • Correctness of formulation of the problem
Chapter 2 Computing models and methods for examining nonlinear multidimensional problems
General assumptions of construction of numerical algorithms for calculations using supercomputers • Some numerical methods for calculation of multi-dimensional nonlinear processes • An effective quasi-monotonic hybrid scheme for gas-dynamic calculations • Scheme for the modelling equation of transfer • Generalisation for the system of equations of unidimensional gas dynamics • Substitution of grid functions of dependent variables in finite-difference equations • Appendix • Decomposition of problems of numerical modelling, described by hyperbolic equations, on parallel computers • Mathematical modelling of an explosion of a supernova in a parallel computer
Chapter 3 Selected results
Calculations of coherent structures in a near wake behind a solid for limiting motion regimes • Numerical modelling of stochastical components of turbulence (turbulent background) • Statistical modelling of flows of free turbulence in a long-range wake • Formation of large-scale structures in a gap between rotating cylinders (Rayleigh-zel’dovich Problem) • Numerical simulation of the problems of development of hydrodynamic instabilities and turbulent mixing • Numerical modelling of the processes of propagation of an impurity in the atmosphere from a large-scale source
Chapter 4 Astrophysical turbulence, convection and instabilities
Turbulence • Tile structure of the accretion disc • The effect of viscosity on the morphology of the flow of matter in semi-divided binary systems • Results of three-dimensional numerical modelling • Large-scale structure of turbulence in accretion discs • Convective instability in astrophysics