Team/People

Research Interests

Shallow Flow Modeling

• free-surface Euler-/Navier-Stokes Equations
• Shallow Water Moment Equations (SWME)
• Dispersive Shallow Water Moment Equations (DSWME): non-hydrostatic pressure
• Pressure Splitting for DSWME
• General Shallow Water Moment Equations (GSWME): arbirtray basis
• Energy Equations for Shallow Water Moment Systems

Simulation of Moment Models

• Entropy-Stable DG Scheme (TrixiShallowWater.jl)
• Finite Volume Scheme

Mixed Discretizations

• Moment Approximation for the Poisson Problem

Publications

• U. Scholz, R. P., M. Torrilhon A Splitting Scheme for Dispersive Shallow Moment Equations
  Preprint on arXiv

Talks

• HYP 2026, 25. - 29. May, Stuttgart, DE
  "A Moment Based Extension to the Shallow Water Equations"
  contributed talk

• ACOMEN 2025, 15. - 19. September, Ghent, BE
  "Moment Approximations to Shallow Flows with Non-Hydrostatic Pressure"
  contributed talk

Teaching

• SS26: Assistant for "Mathematical Foundations IV (CES)"
• SS25: Assistant for "Mathematical Models in Science and Engineering (PDEs)
• WS24/25: Assistant for the Finite Element part of "Partial Differential Equations (CES+SISC)"
• 2017 - 2023: Various student assistant positions at RWTH

About me

05/2024 - now: PhD candidate at ACoM/RTG EDDy (Energy, Entropy and Dissipative Dynamics)
10/2020 - 03/2024: Master Studies Mathematics, RWTH Aachen University
10/2016 - 09/2020: Bachelor Studies Mathematics, RWTH Aachen University