Prof. Georg May Ph.D.

Prof. Georg May Ph.D.

Faculty

High-Order Methods in Multiphase Flow Simulation

Mechanical Engineering

Member

Junior Research Group Leader

Research

High Order Schemes for PDE, Aerodynamics

Contact

Schinkelstr. 2
52056 Aachen
Germany
Phone: +49-241-8099133
Fax: +49-241-80628498
email: may@aices.rwth-aachen.de

Education

Professional Career

Research Interests

High-Order Numerical Methods for Conservation Laws

Here the focus is on high-order accurate numerical methods for partial differential equations (PDE), in particular those of the hyperbolic type and, more generally, for convection-dominated problems. 

I am interested in the development of Hybridizable Discontinuous Galerkin (HDG) schemes in this application area, as well as, more broadly, numerical analysis of DG schemes. This includes investigation of stability and convergence to entropy-weak or measure-valued solutions.  I am also interested in applications in fluid dynamics.

Adaptive Methods

Research focuses on hp-adaptive methods, including goal-oriented adaptation techniques. In particular, I am interested in metric-based anisotropic mesh adaptation / optimisation techniques. Here, the goal is to produce (nearly) optimal high-order approximation spaces for certain targets, such as global error distribution or solution dependent target functionals. 

Publications

  • Bartos, O., Dolejsi, V., May, G., Rangarajan, A., Roskovec, F.: "A goal-oriented anisotropic hp-mesh adaptation method for linear   convection-diffusion-reaction problems", Comput. Math. Appl., in press, 2019 
  • Rangarajan, A., Chakraborty, A., May, G.: "A goal oriented optimization technique for tetrahedral grids using a continuous-mesh model", AIAA Paper 19-0349, American Institute of Aeronautics and Astronautics, 2019.
  • Rangarajan, A., Balan, A., and May, G.:  "Mesh Optimization for Discontinuous Galerkin Methods Using a Continuous Mesh Model", AIAA Journal, Vol. 56(10), pp. 4060-4073, 2018.
  • Dolejsi, V., May, G., Rangarajan, A.: "A continuous hp-mesh model for adaptive discontinuous Galerkin schemes", Appl. Numer. Math. 124, pp. 1-21, 2018.
  • Zakerzadeh, M., May, G. "Class of Space-Time Entropy Stable DG Schemes for Systems of Convection-Diffusion", In: Klingenberg C., Westdickenberg M. (eds) Theory, Numerics and Applications of Hyperbolic Problems II. Springer Proceedings in Mathematics & Statistics, vol 237. Springer, 2018. 
  • Rangarajan, A., Chakraborty, A., May, G., Dolejsi, V.: "A continuous-mesh optimization technique for piecewise polynomial approximation on tetrahedral grids", AIAA Paper 18-3246, American Institute of Aeronautics and Astronautics, 2018.
  • Dolejsi, V., May, G., Roskovec, F., Solin, P.: "Anisotropic hp-mesh optimization technique based on the continuous mesh and error models", Comput. Math. Appl. 74(1), pp. 45-63, 2017.
  • Rangarajan, A., May, G., Dolejsi, V.: "Adjoint-based anisotropic mesh adaptation for Discontinuous Galerkin Methods Using a Continuous Mesh Model", AIAA Paper 17-3100, American Institute of Aeronautics and Astronautics, 2017.
  • Zakerzadeh, M., May, G. "Entropy stable Discontinuous Galerkin Scheme for the compressible Navier-Stokes Equations", AIAA Paper 17-0084, American Institute of Aeronautics and Astronautics, 2017.
  • May, G., Zakerzadeh, M.: "On the Convergence of Space-Time Discontinuous Galerkin Schemes for Scalar Conservation Laws", SIAM J. Numer. Anal. 54(4), pp. 2452-2465, 2016.
  • Zakerzadeh, M., May, G.: "High-Order Entropy Stable Discontinuous Galerkin Schemes in a Space-Time Computational Framework", AIAA Paper 16-3496, American Institute of Aeronautics and Astronautics, 2016.
  • Balan, A., Woopen, M., May, G.: "Adjoint-based hp-adaptivity on anisotropic meshes for high-order compressible flow simulations", Computers & Fluids 139, pp. 47-67, 2016.
  • Zakerzadeh, M., May, G.: "On the convergence of a shock capturing discontinuous Galerkin method for nonlinear hyperbolic systems of conservation laws", SIAM J. Numer. Anal. 54(2), pp. 874-898 , 2016
  • May, G.: "Hybridized Discontinuous Galerkin Methods: Formulation and Discrete Adjoint", in VKI Lecture Series 2015-04: 38th Advanced Computational Fluid Dynamics, Deconinck, H., Horvath, T. (ed.), von Karman Institute for Fluid Dynamics, 2015.
  • May, G., Balan, A., Woopen, M.: "Output-based error estimation and mesh adaptation for HDG methods", in VKI Lecture Series 2015-04: 38th Advanced Computational Fluid Dynamics, Deconinck, H., Horvath, T. (ed.), von Karman Institute for Fluid Dynamics, 2015.
  • Woopen, M., Balan, A., May, G.: "A Unifying Computational Framework for Adaptive High-Order Finite Element Methods", AIAA Paper 15-2601, American Institute of Aeronautics and Astronautics, 2015.
  • Woopen, M., May, G.: "An Anisotropic Adjoint-Based hp-Adaptive HDG Method for Compressible Turbulent Flow", AIAA Paper 15-2042, American Institute of Aeronautics and Astronautics, 2015.
  • Gerhard, N., Iacono, F., May, G., Müller, S., Schäfer, R.: "A High-Order Discontinuous Galerkin Discretization with Multiwavelet-Based Grid Adaptation for Compressible Flows", J. Sci. Comput. 62 (1), pp. 25-52, 2015.
  • Woopen, M, May, G., and Schütz, J.: "Adjoint-based error estimation and mesh adaptation for hybridized discontinuous Galerkin methods", Int. J. Numer. Meth. Fluids 76(11), pp. 811–834, 2014.
  • Woopen, M, Balan, A., May, G., and Schütz, J.: "A Comparison of Hybridized and Standard DG Methods for Target-Based hp-Adaptive Simulation of Compressible Flow", Computers & Fluids 98, pp. 3–16, 2014.
  • Woopen, M., Balan, A., May, G.: "A Hybridized Discontinuous Galerkin Method for Three-Dimensional Compressible Flow Problems", AIAA Paper 14-0938, American Institute of Aeronautics and Astronautics, 2014.
  • Schütz, J., May, G.: "An Adjoint Consistency Analysis for a Class of Hybrid Mixed Methods", IMA J. Numer. Anal. 34 (3), pp. 1222-1239, 2014.
  • Balan, A. Woopen, M., May, G.: "Adjoint-Based Hp-Adaptation for a Class of High-Order Hybridized Finite Element Schemes for Compressible Flows", AIAA Paper 13-2938, American Institute of Aeronautics and Astronautics, 2013.
  • J. Schütz, M. Woopen and G. May: "A combined hybridized discontinuous Galerkin / hybrid mixed method for viscous conservation laws", in: Ancona, F. et al. (Eds) Hyperbolic Problems: Theory, Numerics, Applications, AIMS on Applied Mathematics, Vol. 8, pp. 915-922, AIMS, 2013.
  • Wang, Z. J., Fidkowski, K. et al. (May, G.): "High-order CFD methods: current status and perspective", Int. J. Numer. Meth. Fluids 72(8), pp. 811–845, 2013.
  • Schütz J., May, G.: "A Hybrid Mixed Method for the Compressible Navier-Stokes Equations", J. Comp. Phys 240, pp. 58-75, 2013.
  • J. Schütz, S. Noelle, C. Steiner, May, G.: "A Note on Adjoint Error Estimation for One-Dimensional Stationary Conservation Laws with Shocks", SIAM J. Numerical Analysis 51(1), pp. 126-136, 2013
  • Schütz, J., Woopen, M., May, G.: "A Hybridized DG/Mixed Scheme for Nonlinear Advection-Diffusion Systems, Including the Compressible Navier-Stokes Equations ", AIAA Paper 12-0729, American Institute of Aeronautics and Astronautics, 2012.
  • Balan, A., Schöberl, J.,May, G.: "A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws on Triangular Elements", J. Comput. Phys. 231(5), pp. 2359–2375, 2012.
  • May, G., Iacono, F., Balan, A.: "Time-Relaxation Methods for High-Order Discretization of Compressible Flow Problems", Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2011 (ICNAAM‐2011), AIP Conf. Proc. 1389, 903-906 (2011).
  • Iacono, F., May, G., Müller, S. and Schäfer, R.: "A Discontinuous Galerkin Discretization with Multiwavelet-Based Grid Adaptation for Compressible Flows", AIAA Paper 11-0200, American Institute of Aeronautics and Astronautics, 2011.
  • Schütz J., May, G.: "A Numerical Study of Adjoint-Based Mesh Adaptation for Compressible Flow Simulation", AIAA Paper 11-0213, American Institute of Aeronautics and Astronautics, 2011.
  • May, G.: "On the connection between the spectral difference method and the discontinuous Galerkin method", Commun. Comput. Phys., 9, pp.1071-1080, 2011.
  • May, G., Jameson, A.: "Efficient Relaxation Methods for High-Order Discretization of Steady Problems", in: Adaptive high-order methods in Computational Fluid Dynamics (Wang, Z. J., ed.), World Scientific Publishing, 2011.
  • Iacono, F., May, G., Wang, Z. J.: "Relaxation Techniques for High-Order Discretizations of Steady Compressible Inviscid Flows", 40th AIAA Computational Fluid Dynamics Conference, Chicago, IL, AIAA Paper 10-4991, 2010.
  • G. May, F. Iacono, A. Jameson: " A hybrid multilevel method for high-order discretization of the Euler equations on unstructured meshes", J. Comp. Phys. 229(10), 2010.
  • Iacono, F., May, G.: "Convergence Acceleration for Simulation of Steady-State Compressible Flows Using High-Order Schemes", 19th AIAA Computational Fluid Dynamics Conference, San Antonio, TX, AIAA Paper 09-4132, 2009.
  • Iacono, F., May, G., Jameson, A.: "Efficient Algorithms for High-Order Discretization of the Euler and Navier-Stokes Equations", 47th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, FL, AIAA Paper 09-0182, 2009.
  • May, G., Jameson, A.: "An improved gas-kinetic BGK finite-volume method for three-dimensional transonic flow" ,J. Comp. Phys. 220(2), pp. 856-878, 2007
  • Wang, Z.J., Liu, Y., May, G., Jameson, A.: "Spectral Difference Method for Unstructured Grids II: Extension to the Euler Equations" , J. Sci. Comput. 32 (1) pp. 54-71, July, 2007.
  • May, G., Jameson, A.: "A Spectral Difference Method for the Euler and Navier-Stokes Equations on Unstructured Meshes", AIAA-2006-0304, 44th AIAA Aerospace Sciences Meeting and Exhibit, January 9-12, 2006, Reno, NV.
  • May, G., Jameson, A.: "High-Order Accurate Methods for High-Speed Flow", AIAA-2005-5251, 17th AIAA Computational Fluid Dynamics Conference, Toronto, Ontario, June 6-9, 2005.
  • May, G., Jameson, A.: "Improved Gaskinetic Multigrid Method for Three-Dimensional Computation of Viscous Flow", AIAA-2005-5106, 17th AIAA Computational Fluid Dynamics Conference, Toronto, Ontario, June 6-9, 2005.
  • May, G., Jameson, A.: "Unstructured Algorithms for Inviscid and Viscous Flows Embedded in a Unified Solver Architecture: Flo3xx", AIAA-2005-0318, 43rd AIAA Aerospace Sciences Meeting & Exhibit, Reno, NV, January 10-13, 2005.
  • May, G., Jameson, A.: "Calculating Three-Dimensional Transonic Flow Using a Gas-Kinetic BGK Finite-Volume Method", AIAA-2005-1397, 43rd AIAA Aerospace Sciences Meeting & Exhibit, Reno, NV, January 10-13, 2005.
  • May, G., Van der Weide, E., Jameson, A., and Shankaran, S.: "Drag Prediction of the DLR-F6 configuration", AIAA-2004-0396, 42nd AIAA Aerospace Sciences Meeting & Exhibit, Reno, NV, January 5-8, 2004.
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