Title:	Numerical study of Blow-up simulations in fluid equations
DNr:	NAISS 2024/22-763
Project Type:	NAISS Small Compute
Principal Investigator:	Erik Jansson <erikjans@chalmers.se>
Affiliation:	Chalmers tekniska högskola
Duration:	2024-05-24 – 2025-06-01
Classification:	10105
Homepage:	https://github.com/klasmodin/quflow
Keywords:

Abstract

Fluid equations, for instance Euler equations, may exhibit so-called blow-up phenomena where the fluid breaks down. For instance, a wave may become infinitely high or a vortex spin infinitely fast. It is important, when developing a new numerical method for fluid equations that we intend to apply to equations with blow-up, that we know that we can capture blow-up phenomena. Further, we have to make sure that numerical observations regarding blow-up are not spurious numerical artefacts. Therefore, I intend to test out our implementation of a numerical method called Zeitlin's method to an equation with blow-up. This requires running several high-resolution simulations with a tiny time step until the equation breaks down, and to do this for several initial value configurations.