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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. High Reynolds Number Flow Simulations on Cartesian Cut-cell Grids

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

   Proceedings of the 13th International Conference on Computational Fluid Dynamics (ICCFD13), 2026

   Details

2. 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

3. 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

4. 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