#### Prototype

Typically MATLAB

Applied Mathematics
Fluid Dynamics
Research

My projects are driven by the needs of the fluid dynamics community and are focused on effcient and accurate mathematical solutions.

- Spectral Element Methods
- Boundary Integral Methods
- Matrix-free preconditioners
- Matrix Calculus
- Functional Analysis

- Multiscale phenomena
- Multiphase flows
- Microscale particles
- Non-newtonian fluids
- Interface tracking

- Consistent adjoints
- Automatic Differentiation
- Reduced-Space optmization
- Vectorized computations
- Continous adjoints

- Turbulent flows
- Drops and bubbles
- Nucleation
- Transition to chaos
- Reduced order models

- Statistical studies
- Modal analysis
- Modal Decomposition
- Data compression
- Error tracking

- Ensemble Kalman
- Variational DA
- Localization
- Machine Learning
- Model reduction

01

Typically MATLAB

02

Test and assess accuracy and efficiency

03

Implement in PETSc to perform studies at scale

04

Promote work

My main focus lies in developing frameworks accross disciplines, and these ideas may be published in journals from Computational Fluid Mechanics to Numerical Analysis and Computer Science