Master's thesis presentation. Osman is advised by Mario Wille, and Prof. Dr. Michael Bader.
Previous talks at the SCCS Colloquium
Osman Alp Toprak: From Compressible CFD Towards Simulation of Volcano Eruptions in ExaHyPE 2
SCCS Colloquium |
This thesis presents the development and validation of a particle tracing and passive scalar transport framework within the ExaHyPE 2 simulation engine, focusing on compatibility with cell-centered Finite Volume solvers. The primary objective is to establish a robust passive scalar transport system that serves as the foundation for future volcanic eruption simulations. The framework’s modular design allows flexible particle usage: from static virtual sensors that only record field values, to fully dynamic tracers using explicit and semi-implicit Euler, explicit velocity Verlet, or Runge–Kutta time integration schemes with piecewise constant or linear interpolation. The implementation ensures conservation across domain boundaries and hybrid MPI/OpenMP subdomains. Boundary conditions, including reflective walls and periodic interfaces, are handled robustly. Validation progresses systematically from fundamental convergence tests using one-body and two-body gravitational problems, through interpolation validation via vertical plume rise and radial jet expansion test cases, to terminal velocity verification and the Euler point explosion for particle conservation testing. The framework culminates in physically motivated volcanic plume simulations, demonstrating passive scalar transport and validating the passive scalar approximation for particles of varying mass. This work establishes the essential passive scalar capability required for comprehensive volcanic ash dispersion modeling in ExaHyPE 2.