Lagrangian Solid Modeling
by Matthew Marko
Publisher: viXra 2017
Number of pages: 114
The author demonstrates a stable Lagrangian solid modeling method, tracking the interactions of solid mass particles, rather than using a meshed grid. This numerical method avoids the problem of tensile instability often seen with Smooth Particle Applied Mechanics by having the solid particles apply stresses expected with Hooke's law, as opposed to using a smoothing function for neighboring solid particles.
Home page url
Download or read it online for free here:
by Edward Nelson - Princeton University Press
Lecture notes for a course on differential equations covering differential calculus, Picard's method, local structure of vector fields, sums and Lie products, self-adjoint operators on Hilbert space, commutative multiplicity theory, and more.
by Freddy Bouchet, Antoine Venaille - arXiv
The theoretical study of the self-organization of two-dimensional and geophysical turbulent flows is addressed based on statistical mechanics methods. This review is a self-contained presentation of classical and recent works on this subject.
by Johan Hoffman, Johan Jansson, Claes Johnson
This book presents a mathematical theory of sailing based on a combination of analysis and computation. This new theory is fundamentally different from that envisioned in the classical theories for lift in inviscid flow and for drag in viscous flow.
by A. N. Varchenko, P. I. Etingof - American Mathematical Society
This book concerns the problem of evolution of a round oil spot surrounded by water when oil is extracted from a well inside the spot. It turns out that the boundary of the spot remains an algebraic curve of degree four in the course of evolution.