Simulating fluids with a computer: towards the "path bundle" method

@inproceedings{RUNKJRM89,
 abstract = { In this article, I present recent methods for the numerical simulation of 
uid dynamics and
the associated computational algorithms. The goal of this article is to explain how to model an
incompressible 
uid, and how to write a computer program that simulates it. I will start from
Newton laws "F = ma" applied to a bunch of particles, then show how Euler's equation can be
deduced from them by "taking a step backward" and seeing the 
uid as a continuum. Then I will
show how to make a computer program. Incompressibility is one of the main difficulties to write
a computer program that simulates a 
uid. I will explain how recent advances in computational
mathematics result in a computer object that can be used to represent a 
uid and that naturally
satisfies the incompressibility constraint. Equipped with this representation, the algorithm that
simulates the 
uid becomes extremely simple, and has been proved to converge to the solution of
the equation (by Gallouet and Merigot). },
 author = { Levy, Bruno },
 booktitle = { 2018 Ring Meeting },
 publisher = { ASGA },
 title = { Simulating fluids with a computer: towards the "path bundle" method },
 year = { 2018 }
}