Monte Carlo Methods in Mechanics of Fluid and Gas

Monte Carlo Methods in Mechanics of Fluid and Gas

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This book is devoted to analysis of Monte Carlo methods developed in rarefied gas dynamics. Presented is the short history of the development of such methods, described are their main properties, their advantages and deficiencies. It is shown that the contemporary stage in the progress of computational methods cannot be regarded without a complex approach to the preparation of algorithms taking into account all the peculiarities of the problem under consideration, that is, of the physical nature of a process, the mathematical model and the theoretical aspects of computational mathematics and stochastic processes. Thoroughly investigated is the possibility of application of Monte Carlo methods in some kindred areas of science which are non-traditional for the use of statistical modeling (continuous media, turbulence). Considered are the possible directions of development of statistical modeling.[173] N. S. Bakhvalov, N. P. Zhidkov and G. M. Kobelkov, Numerical Methods, 3rd ed. (M, Binom, 2004), p. 636 (in Russian). [174] V. R Ivannikov, S. S. Gaisarjan, K. V. Antipin and V. V. Rubanov, The object-oriented surrounding providing the access to the relational SUBD, Proc. of ISP, Russian AS 2, 89-114 (2001) (in Russian). [175] K. M. ... [180] A. A. Samarskii and Y. P. Popov, Difference methods for the solution of problems of gasdynamics, 4th Ed. (Editorial URSS, 2004), p. 424 (inanbsp;...

Title:Monte Carlo Methods in Mechanics of Fluid and Gas
Author:Oleg M. Belotserkovskii
Publisher:World Scientific - 2010


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