Book Description: Дискретные модели несжимаемой жидкости (Discrete Models of Incompressible Fluid) Author: [Name of Author] 2001 212 Publisher: [Name of Publisher] Summary: The monograph "Дискретные модели несжимаемой жидкости" (Discrete Models of Incompressible Fluid) is a comprehensive guide to the relatively new direction of computational hydrodynamics, providing a detailed overview of the discrete models of incompressible fluid and their applications in numerical modeling of fluid dynamics. The book is aimed at physicists, mathematicians, and graduate students studying the theory of hydrodynamics and computational methods. Plot: The book begins by introducing the concept of discrete models of incompressible fluid, explaining how these models are obtained directly from the variational principles of classical mechanics. The author then delves into the various classes of problems in fluid dynamics, including long waves and solitons, and demonstrates how effective numerical methods can be built from a single position for each class of problems. The constructed methods enable the numerical simulation of nontrivial hydrodynamic effects such as Mach reflection of solitary waves and holding the ball with a vertical jet of liquid. The first chapter provides an overview of the historical background of the subject, highlighting the need for the development of discrete models of incompressible fluid and their significance in understanding the technological process of developing modern knowledge.

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