Publications & Presentations

Journal Articles

    2024
  1. PyFR v2.0.3: Towards Industrial Adoption of Scale-Resolving Simulations
    F. Witherden, P. Vincent, W. Trojak, Y. Abe, A. Akbarzadeh, S. Akkurt, M. Alhawwary, L. Caros, T. Dzanic, G. Giangaspero, A. Iyer, A. Jameson, M. Koch, N. Loppi, S. Mishra, R. Modi, G. Saez-Mischlich, J.S. Park, B. Vermeire, L. Wang.
    Submitted. [ PDF, arXiv]
  2. High-order limiting methods using maximum principle bounds derived from the Boltzmann equation I: Euler equations
    T. Dzanic, L. Martinelli.
    Submitted. [ PDF, arXiv]
  3. A note on higher-order and nonlinear limiting approaches for continuously bounds-preserving discontinuous Galerkin methods
    T. Dzanic.
    Journal of Computational Physics, 516, 113367. doi: 10.1016/j.jcp.2024.113367 [ PDF, arXiv, Article ]
  4. Continuously bounds-preserving discontinuous Galerkin methods for hyperbolic conservation laws
    T. Dzanic.
    Journal of Computational Physics, 508, 113010. doi: 10.1016/j.jcp.2024.113010 [ PDF, arXiv, Article ]
  5. DynAMO: Multi-agent reinforcement learning for dynamic anticipatory mesh optimization with applications to hyperbolic conservation laws
    T. Dzanic, K. Mittal, D. Kim, J. Yang, S. Petrides, B. Keith, R. Anderson.
    Journal of Computational Physics, 506, 112924. doi: 10.1016/j.jcp.2024.112924 [ PDF, arXiv, Article ]
  6. Validation of wall boundary conditions for simulating complex fluid flows via the Boltzmann equation: Momentum transport and skin friction
    T. Dzanic, F. Witherden, L. Martinelli.
    Physics of Fluids 36, 017109. doi: 10.1063/5.0186037 [ PDF, arXiv, Article ]
  7. On the anti-aliasing properties of entropy filtering for under-resolved turbulent flows
    T. Dzanic, W. Trojak, F. Witherden.
    International Journal of Computational Fluid Dynamics, 37, 474-486. doi:10.1080/10618562.2024.2302430 [ PDF, arXiv, Article ]
  8. Positivity-preserving discontinuous spectral element methods for compressible multi-species flows
    W. Trojak, T. Dzanic.
    Computers & Fluids, 280, 106343, 2024. doi: 10.1016/j.compfluid.2024.106343 [ PDF, arXiv, Article ]
  9. 2023
  10. Positivity-preserving entropy filtering for the ideal magnetohydrodynamics equations
    T. Dzanic, F. Witherden.
    Computers & Fluids, 266, 106056, 2023. doi: 10.1016/j.compfluid.2023.106056 [ PDF, arXiv, Article ]
  11. A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann–BGK equation
    T. Dzanic, F. Witherden, L. Martinelli.
    Journal of Computational Physics, 486, 112146, 2023. doi: 10.1016/j.jcp.2023.112146 [ PDF, arXiv, Article ]
  12. Bounds preserving temporal integration methods for hyperbolic conservation laws
    T. Dzanic, W. Trojak, F. Witherden.
    Computers & Mathematics with Applications, 135, 6-18, 2023. doi: 10.1016/j.camwa.2023.01.023 [ PDF, arXiv, Article ]
  13. 2022
  14. Positivity-preserving entropy-based adaptive filtering for discontinuous spectral element methods
    T. Dzanic, F. Witherden.
    Journal of Computational Physics, 468, 111501, 2022. doi: 10.1016/j.jcp.2022.111501 [ PDF, arXiv, Article ]
  15. Utilizing time-reversibility for shock capturing in nonlinear hyperbolic conservation laws
    T. Dzanic, W. Trojak, F. Witherden.
    Computers & Fluids, 247, 105652, 2022. doi: 10.1016/j.compfluid.2022.105652 [ PDF, arXiv, Article ]
  16. Partially-averaged Navier–Stokes simulations of turbulence within a high-order flux reconstruction framework
    T. Dzanic, S. Girimaji, F. Witherden.
    Journal of Computational Physics, 456, 110992, 2022. doi: 10.1016/j.jcp.2022.110992 [ PDF, arXiv, Article ]
  17. 2021
  18. Accuracy, stability, and performance comparison between the spectral difference and flux reconstruction schemes
    C. Cox, W. Trojak, T. Dzanic, F. Witherden, A. Jameson.
    Computers & Fluids, 221, 104922, 2021. doi: 10.1016/j.compfluid.2021.104922s [ PDF, Article ]

Conference Papers

    2024
  1. Direct molecular gas dynamics simulations of re-entry vehicles via the Boltzmann equation
    T. Dzanic, L. Martinelli.
    AIAA SciTech, 2024. doi: 10.2514/6.2024-2726 [ PDF, arXiv, Article ]
  2. Towards full molecular gas dynamics simulations of complex flows via the Boltzmann equation
    T. Dzanic, L. Martinelli.
    Cambridge Unsteady Flow Symposium, CUFS-2024-10, 2024. [ PDF, arXiv]
  3. 2023
  4. Multi-agent reinforcement learning for adaptive mesh refinement
    J. Yang, K. Mittal, T. Dzanic, S. Petrides, B. Keith, B. Peterson, D. Faissol, R. Anderson.
    International Conference on Autonomous Agents and Multiagent Systems, p.14-22, 2023. [ PDF, arXiv, Article ]
  5. Reinforcement learning for adaptive mesh refinement
    J. Yang, T. Dzanic, B. Peterson, J. Kudo, K. Mittal, V. Tomov, J.S. Camier, T. Zhao, H. Zha, Tz. Kolev, R. Anderson, D. Faissol.
    International Conference on Artificial Intelligence and Statistics (AISTATS), 26, p.5997-6014, 2023. [ PDF, arXiv, Article ]
  6. 2021
  7. Shock capturing methods in high-order flux reconstruction I: Graph viscosity and convex limiting approaches
    W. Trojak, T. Dzanic, F. Witherden.
    AIAA SciTech, 2021. doi: 10.2514/6.2021-0496 [ PDF, Article ]
  8. Numerical analysis and prediction of aero-optical effects
    D. Hartman, T. Dzanic, F. Witherden, A. Tropina, R. Miles.
    AIAA SciTech, 2021. doi: 10.2514/6.2021-0335 [ Article ]
  9. 2020
  10. Fourier spectrum discrepancies in deep network generated images
    T. Dzanic, K. Shah, F. Witherden.
    Neural Information Processing Systems (NeurIPS), 33, p.3022-3032, 2020. [ PDF, arXiv, Article ]
  11. Non-equilibrium wall modeling for large eddy simulation of stalled iced airfoils
    T. Dzanic, J. Oefelein.
    AIAA SciTech, 2020. doi: 10.2514/6.2020-1076 [ Article ]
  12. 2019
  13. Higher-order implicit large eddy simulations of a VFE-2 delta wing
    T. Dzanic, L. Martinelli.
    AIAA SciTech, 2019. doi: 10.2514/6.2019-0276 [ PDF, Article ]

Invited Talks & Conference Presentations

    2024
  1. Towards full Boltzmann simulations of complex fluid flows via high-order, discretely-conservative numerical schemes
    High-Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM). Chania, Greece.
  2. Provably robust limiting schemes for high-order discontinuous spectral element methods
    Brown University. Providence, RI, USA.
  3. Towards full molecular gas dynamics simulations of complex flows via the Boltzmann equation
    Cambridge Unsteady Flow Symposium. Cambridge University, Cambridge, UK.
  4. Continuously bounds-preserving limiting methods for high-order discontinuous Galerkin schemes
    7th Chilean Workshop on Numerical Analysis of Partial Differential Equations. Concepcion, Chile.
  5. Structure-preserving finite element methods for multi-physics applications
    Office of Science Advanced Scientific Computing Research (ASCR) Principal Investigator Meeting. Albuquerque, NM, USA.
  6. 2023
  7. Constructing provably robust, constraint-satisfying finite element methods for computational physics
    Brown University. Providence, RI, USA.
  8. High-order computational fluid dynamics schemes on GPU architectures
    NASA Ames Research Center. Mountain View, CA, USA.
  9. A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann–BGK equation
    22nd IACM Computational Fluids Conference. Cannes, France.
  10. Constructing provably robust, constraint-satisfying finite element methods for computational physics
    Lawrence Livermore National Lab. Livermore, CA, USA.
  11. 2022
  12. A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann–BGK equation
    Society for Applied and Industrial Mathematics TX-LA Symposium. Houston, TX, USA.
  13. Positivity-preserving entropy-based adaptive filtering for shock capturing
    PyFR Seminar Series. Imperial College London, London, UK.
  14. Utilizing time-reversibility for shock capturing in nonlinear hyperbolic conservation laws
    15th World Congress on Computational Mechanics. Yokohama, Japan.
  15. Positivity-preserving entropy-based adaptive filtering for discontinuous spectral element methods
    8th European Congress on Computational Methods in Applied Sciences and Engineering. Oslo, Norway.
  16. 2021
  17. Bounds preserving temporal integration methods for hyperbolic conservation laws
    Society for Applied and Industrial Mathematics TX-LA Symposium. South Padre Island, TX, USA.
  18. Shock capturing in nodal spectral element methods via Riemann solutions for intra-element fluxes
    U.S. National Congress on Computational Mechanics. Chicago, IL, USA.
  19. Shock capturing for high-order nodal spectral element methods
    PyFR Seminar Series. Imperial College London, London, UK.
  20. Variable resolution turbulence modeling within a flux reconstruction framework
    World Congress in Computational Mechanics - ECCOMAS. Paris, France.
  21. 2020
  22. Fourier spectrum discrepancies in deep network generated images
    Neural Information Processing Systems. Vancouver, Canada.
  23. A Riemann difference scheme for shock capturing in discontinuous finite element methods
    Society for Applied and Industrial Mathematics TX-LA Symposium. College Station, TX, USA.
  24. Partially-averaged Navier-Stokes in PyFR
    PyFR Symposium. Imperial College London, London, UK.
  25. Non-equilibrium wall modeling for large eddy simulation of stalled iced airfoils
    AIAA SciTech. Orlando, FL, USA.
  26. 2019
  27. Higher-order implicit large eddy simulations of a VFE-2 delta wing
    AIAA SciTech. San Diego, CA, USA.
  28. 2018
  29. Toward high-fidelity, high-resolution aerodynamic analysis of iced airfoils
    Federal Aviation Administration JUP Conference. The University of Ohio, Athens, Ohio, USA.
  30. 2017
  31. Implicit large eddy simulations of vortex dominated flows
    Federal Aviation Administration JUP Conference. Massachusetts Institute of Technology, Cambridge, MA, USA.