Direct link to the data repository
Introduction
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This benchmark simulates the Kelvin-Helmholtz instability problem. We provide reference computations for this problem. On this page we describe the problem set up and give on overview on the quantities of interest. For simulation results and details that allow for a comparison of computational results we refer to our repository with our reference results.
Geometry and flow setup
The computation domain is a square
The initial condition for the velocity
with the stream function
For the solution to the problem we consider the incompressible Navier-Stokes equations:
At
The Reynolds number
We consider different values for the viscosity
For the simulations and their evaluation, the time unit
Quantities of interest
In the following we list the quantities of interested that have been collected for comparison:
1. Vorticity field at selected points in time
Vorticity,
2. Kinetic energy over time:
3. Kinetic energy spectra at selected points in time
4. Vorticity thickness over time
5. Enstrophy over time
6. Palinstrophy over time
For further details we refer to the paper [1] and to our repository with our reference results.
References
- [1] Philipp W. Schroeder, Volker John, Philip L. Lederer, Christoph Lehrenfeld, Gert Lube, Joachim Schöberl, "On reference solutions and the sensitivity of the 2d Kelvin–Helmholtz instability problem", arXiv: 1803.06893