Abstract: Moment closure modeling for kinetic equations is an effective approach for developing hydrodynamic theories of complex systems. It generally leads to higher-order systems of conservation laws that go beyond the Navier-Stokes equations and can be seen as 'finite-dimensional approximations' of the kinetic equations. An ideal moment model should preserve the desirable properties of the original kinetic equation while being computationally efficient, which remains a key challenge in modeling. This talk focuses on a class of quadrature-based method of moments that is positivity-preserving, in conservative form, and computationally efficient. These methods have been widely applied in multiphase flows, combustion, rarefied flows, and multi-physics flows. I will talk about recent advances in analyzing the hyperbolicity and dissipativeness of these models. Furthermore, a new quadrature method of moments is developed for systems with constant velocity magnitude and is applied to simulating polar active matter (based on the Vicsek model). This provides a novel perspective and modeling tool for investigating band behaviors, an intriguing coexisting state of two phases of such systems.
Structure-preserving method of moments with applications to active matter
30.10.2024 14:00 - 14:45
Organiser:
SFB 65
Location:
HS 2, EG, OMP 1
Location:
und Zoom
Verwandte Dateien
- pde_afternoon_2024-10-30.pdf 921 KB