A Posteriori Error Estimates for Self-Similar Solutions to the Euler Equations
Wen Shen, Penn State University
The preprint of the paper has been posted on arXiv, (joint work
with Alberto Bressan).
You can find the preprint at
The paper is accpeted for publication in DCDS-A, 2020.
Here you can find the codes for numerical simulations
All the numerical simulations are carried out in Matlab.
There are 3 files:
- InitVort.m : the function that
computes the initial vorticity.
- PoissonA.m : compute the stiffness
matrix using a finite difference method
to sove the Poisson equation in 2D, on a rectangle.
- MainRun.m the main code, with the
time-loop, plotting etc.
Here are some sample Figures:
The simulation that results in one single spiral:
The simulation result that contains two spirals:
Last modified: Thu Feb 13 16:43:04 EST 2020