Turbulence for (and by) amateurs
by Denis Bernard
Publisher: arXiv 2000
Number of pages: 37
Series of lectures on statistical turbulence written for amateurs but not experts. Elementary aspects and problems of turbulence in two and three dimensional Navier-Stokes equation are introduced. A few properties of scalar turbulence and transport phenomena in turbulent flows are described. Kraichnan's model of passive advection is discussed a bit more precisely.
Home page url
Download or read it online for free here:
by 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.
by Johan Hoffman, Claes Johnson - Springer
In this book we address mathematical modeling of turbulent fluid flow, and its many mysteries that have haunted scientist over the centuries. We approach these mysteries using a synthesis of computational and analytical mathematics.
by Genick Bar-Meir
Introductory textbook for the fluid mechanics in undergraduate classes for engineering/science students. It can be used as a reference book for people who have at least some basics knowledge of science areas such as calculus, physics, etc.
by A. Tsionskiy, M. Tsionskiy - arXiv
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.