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Education

• Ph.D., Aerospace Engineering, University of Michigan, 2021 - present (co-advised with Prof. Krzysztof Fidkowski)
• B.S.E., Aerospace Engineering, University of Michigan, 2017 - 2020

Publications

Journal Papers

1. Solving high Reynolds number flows on Cartesian cut-cell meshes using an ODE wall function with momentum balance

   A. Kleb, K. J. Fidkowski, and J. R. R. A. Martins

   Computers & Fluids, 304106882, 2026

   doi:10.1016/j.compfluid.2025.106882

   Details

2. Automatic Difference Operators for the Eikonal Equation

   A. Kleb, K. J. Fidkowksi, and J. R. R. A. Martins

   SIAM Journal on Scientific Computing, 47(2):A991-A1016, 2025

   doi:10.1137/23M161598X

   Details

Conference Papers

1. Solving High Reynolds Number Flows on Cartesian Cut-cell Meshes using a Jacobian-Free Newton–Krylov Method

   A. Kleb, K. J. Fidkowski, and J. R. R. A. Martins

   Proceedings of the 12th International Conference on Computational Fluid Dynamics (ICCFD12),, 2024

   Details

2. Development of a Cartesian Cut-Cell Solver for Viscous Flows

   A. Kleb, K. J. Fidkowski, and J. R. R. A. Martins

   AIAA SciTech Forum, 2023

   doi:10.2514/6.2023-1795

   Details

3. Extension of a Viscous Cartesian Cut-cell Solver to the Compressible RANS Equations

   A. Kleb, K. J. Fidkowski, and J. R. R. A. Martins

   AIAA Aviation Forum, 2023

   doi:10.2514/6.2023-3978

   Details

Research Interests

• High Reynolds number Cartesian cut-cell methods
• Parallel Computing
• Newton-Krylov nonlinear solvers