210 citations · 1.3k across the 48 of their papers we have counts for
4 papers · 2 filters
Lagrangian and geometric analysis of finite-time Euler singularities
Tobias Grafke, Rainer Grauer
We present a numerical method of analyzing possibly singular incompressible 3D Euler flows using massively parallel high-resolution adaptively refined numerical simulations up to 8…
Finite-Time Euler singularities: A Lagrangian perspective
Tobias Grafke, Rainer Grauer
We address the question whether a singularity in a three-dimensional incompressible inviscid fluid flow can occur in finite time. Analytical considerations and numerical simulation…
Instanton filtering for the stochastic Burgers equation
Tobias Grafke, Rainer Grauer, Tobias Schäfer
We address the question whether one can identify instantons in direct numerical simulations of the stochastically driven Burgers equation. For this purpose, we first solve the inst…
Turbulence properties and global regularity of a modified Navier-Stokes equation
Tobias Grafke, Rainer Grauer, Thomas C. Sideris
We introduce a modification of the Navier-Stokes equation that has the remarkable property of possessing an infinite number of conserved quantities in the inviscid limit. This new…