Research Projects
Structure preserving numerical methods for astrophysics
Principal investigators
- Dr. Roger Käppeli, Seminar for Applied Mathematics, ETH Zurich
- Prof. Dr. Siddhartha Mishra, Seminar for Applied Mathematics, ETH Zurich
Researcher
- Luc Grosheintz, Seminar for Applied Mathematics, ETH Zurich
Start date: 01.02.2017 / End date: 31.02.2020
Description
Our main objective in this project is the design of structure preserving robust and efficient numerical methods for computational astrophysics. To be more specific, we aim to design high-resolution finite volume methods to simulate core-collapse supernovae. The underlying model is the compressible Euler equations with gravitational and neutrino transport source terms. State of the art numerical methods to simulate this phenomena are unable to preserve certain essential structural properties, such as the resolution of steady and moving genuinely multi-dimensional equilibria and the preservation of angular momentum and (pseudo-)vorticity. We propose to tackle these essential numerical challenges within the project by novel modifications of very-high order finite volume schemes. These schemes will also be useful in other astrophysical contexts such as in neutron star mergers, stellar atmospheres, multi-dimensional stellar evolution and accretion disks.
Funding
- SNF Project 169631