Solution of the Cauchy problem for the Navier - Stokes and Euler equations
by A. Tsionskiy, M. Tsionskiy
Publisher: arXiv 2010
Number of pages: 65
Description:
Solutions of the Navier-Stokes and Euler equations with initial conditions (Cauchy problem) for two and three dimensions are obtained in the convergence series form by the iterative method using the Fourier and Laplace transforms in this paper. For several combinations of problem parameters numerical results were obtained and presented as graphs.
Download or read it online for free here:
Download link
(1MB, PDF)
Similar books
Introductory Fluid Mechanicsby Simon J.A. Malham - Heriot-Watt University
Contents: Introduction; Fluid flow; Trajectories and streamlines; Conservation of mass; Balance of momentum; Transport theorem; Simple example flows; Kelvin's circulation theorem; Bernoulli's Theorem; Irrotational/potential flow; etc.
(9344 views)
Fundamentals of Compressible Fluid Mechanicsby Genick Bar–Meir
This book describes the fundamentals of compressible flow phenomena for engineers and others. It can be used as a reference book for people who have some knowledge of the basics of fundamental fluid mechanics, calculus, and physics.
(20134 views)
Some Open Questions in Hydrodynamicsby Mateusz Dyndal, Laurent Schoeffel - arXiv
There are many deep open questions that come with the theory of fluid mechanics. We discuss some of them that we classify in two categories, the long term behavior of solutions of equations of hydrodynamics and the definition of initial conditions.
(9531 views)
An Introduction to the Mechanics of Fluidsby Edwin H. Barton - Longmans, Green
In writing this book, while preserving the usual rigour, the endeavour has been made to impart to it by the character of the illustrations and examples, a modern and practical flavour which will render it more widely useful. The calculus is not used.
(11690 views)