Differential forms, fluids, and finite models
Analysis of PDEs
2011-02-14 v1 Algebraic Topology
Numerical Analysis
Abstract
By rewriting the Navier-Stokes equation in terms of differential forms we give a formulation which is abstracted and reproduced in a finite dimensional setting. We give two examples of these finite models and, in the latter case, prove some approximation results. Some useful properties of these finite models are derived.
Cite
@article{arxiv.1102.2245,
title = {Differential forms, fluids, and finite models},
author = {Scott O. Wilson},
journal= {arXiv preprint arXiv:1102.2245},
year = {2011}
}
Comments
8 pages. Accepted by Proc. of AMS