- We present a numerical method for the approximation of a kinetic-fluid model describing sedimentation in suspensions of rod-like particles.
- We approximate the high dimensional kinetic model with lower dimensional hyperbolic systems of moment equations.
- The number of moment equations can be adapted to account for locally varying flow features.
- An error analysis is proposed, which compares the approximation with 2N+1 moment equations to an approximation with 2N+3 moment equations.
- The analytical results suggest an error indicator which can be computed from the numerical approximation with 2N+1 moment equations.
- Finally, an interface coupling is proposed which couples approximations with different resolution.
Authors:
Sina Dahm, Christiane Helzel, Jan Giesselmann
DOI: 10.1016/j.jcp.2024.113162
