
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
Fundamentals of Multiphase Flowby Christopher E. Brennen - Cambridge University Press
The book for graduate students and researchers at the cutting edge of investigations into the fundamental nature of multiphase flows. It is intended as a reference book for the basic methods used in the treatment of multiphase flows.
(21753 views)
Hydrodynamicsby Horace Lamb - Cambridge University Press
Constantly in use since its first publication in 1879, this book is the definitive reference for all fluid dynamicists. Despite the pace of modern research and the advent of high-speed computers, Lamb's work remains a relevant, timeless classic.
(14555 views)
Introduction to Statistical Theory of Fluid Turbulenceby Mahendra K. Verma - arXiv
Fluid and plasma flows exhibit complex random behaviour, called turbulence. This text is a brief introduction to the statistical theory of fluid turbulence, with emphasis on field-theoretic treatment of renormalized viscosity and energy fluxes.
(15069 views)
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.
(10013 views)