Bauer, W., Cotter, C. J. and Wingate, B. [2021], Higher order phase averaging for highly oscillatory systems, SIAM Multiscale Modeling & Simulation, 20, 936--956, DOI, PDF.
Wimmer, G., Cotter, C. J. and Bauer, W. [2021], Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction, SMAI - Journal of Computational Mathematics, 7, 267-300, https://arxiv.org/abs/2001.09590.
Brecht, R., Bauer, W., Bihlo, A., Gay-Balmaz, F. and MacLachlan, S. [2021], Selective decay for the rotating shallow-water equations with a structure-preserving discretization, Physics of Fluids, 33, 116604, DOI, PDF.
Brecht, R., Li, L., Bauer, W. and Mémin, E. [2021], Rotating shallow water flow under location uncertainty with a structure-preserving discretization, Journal of Advances in Modeling Earth Systems, 13, e2021MS002492, DOI, PDF.
Bauer W., Behrens J., Cotter C.J. [2021], A Structure-Preserving Approximation of the Discrete Split Rotating Shallow Water Equations. In: Vermolen F.J., Vuik C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, vol 139. Springer, Cham, DOI, PDF.
Bauer, W., Chandramouli, P., Li, L. and Mémin, E [2020], Stochastic representation of mesoscale eddy effects in coarse-resolution barotropic models, Ocean Modelling, 151, 101646, DOI, PDF.
Bauer, W., Chandramouli, P., Chapron, B., Li, L. and Mémin, E. [2020], Deciphering the role of small-scale inhomogeneity on geophysical flow structuration: a stochastic approach, Journal of Physical Oceanography, 50 (4), 983-1003, DOI, PDF.
Bauer, W. and Gay-Balmaz, F. [2019]: Variational discretization framework for geophysical flow models, Springer LNCS proceedings: GSI 2019, DOI.
Wimmer, G., Cotter, C. J. and Bauer, W [2020], Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations, Journal of Computational Physics (JCP), 401, 109016, DOI, PDF.
Bauer, W. and Gay-Balmaz, F. [2019], Variational integrators for anelastic and pseudo-incompressible flows, Journal of Geometric Mechanics (JGM), 11(4), 511-537. DOI, PDF.
Brecht, R., Bauer, W., Bihlo, A., Gay-Balmaz, F. and MacLachlan, S. [2019], Variational integrator for the rotating shallow-water equations on the sphere, Quaterly Journal of the Royal Meteorological Society (QJRMS), 145, 1070-1088. DOI, PDF
Bauer, W. and Gay-Balmaz, F. [2019], Towards a variational discretization of compressible fluids: the rotating shallow water equations, Journal of Computational Dynamics (JCP), Journal of Computational Dynamics (JCD), 6(1), 1-37. DOI PDF
Bauer, W and Cotter, C. J. [2018], Energy-enstrophy conserving compatible finite element schemes for the shallow water equations on rotating domains with boundaries , Journal of Computational Physics (JCP), 373, 171-187. DOI PDF
Bauer, W. and Behrens, J. [2018], A structure-preserving split finite element discretization of the split wave equations , Applied Mathematics and Computation (AMC), 325, 375–400. DOI PDF
Bauer, W. [2016], A new form of hierarchically-structured n-dimensional rotating covariant equations of geophysical fluid dynamics, GEM - International Journal on Geomathematics, 7(1), 31-101. DOI PDF
Bauer, W., Baumann, M., Scheck, L., Gassmann, A., Heuveline, V., Jones, S. [2014], Simulation of tropical-cyclone-like vortices with shallow-water ICON-hex using goal-oriented r-adaptivity, Journal of Theoretical and Computational Fluid Dynamics (TCFD), 28(1), 107-128. DOI PDF
Eldred, C. and Bauer, W. [2022], An interpretation of TRiSK-type schemes from a discrete exterior calculus perspective, preprint: https://arxiv.org/abs/2210.07476
Bauer, W., Behrens, J. and Cotter, C. J. [2019], A structure-preserving split finite element discretization of the rotating shallow water equations in split Hamiltonian form, preprint at HAL: PDF
Bauer, W. and Gay-Balmaz, F. [2019], Variational integrators for soundproof models on arbitrary triangular C-grids, preprint at Hal: PDF
Eldred, C. and Bauer, W. [2018], Variational and Hamiltonian Formulations of Geophysical Fluids using Split Exterior Calculus, preprint at Hal: PDF
Bauer, W. [2013]: PhD thesis: Toward Goal-Oriented R-adaptive Models in Geophysical Fluid Dynamics using a Generalized Discretization Approach, Universität Hamburg, Germany, published in Reports on Earth System Science, Nr. 127, http://dx.doi.org/10.17617/2.1668145, PDF.
Bauer, W. [2007]: Graduate thesis: Quantenfeldtheorie auf Raumzeiten mit Topologieänderungen, II. Institute for Theoretical Physics, Universität Hamburg, Germany. PDF
Bauer, W. and Cotter, C. J. [03/2021], Higher order phase averaging for big timesteps, EGU General Assembly 2021, online, 19–30 Apr 2021, EGU21-7543, abstract: https://doi.org/10.5194/egusphere-egu21-7543.
Bauer, W., Behrens, J., and Cotter, C. J. [05/2020], A structure-preserving approximation of the discrete split rotating shallow water equations, EGU General Assembly 2020, Online, 4–8 May 2020, EGU2020-4183, abstract: https://doi.org/10.5194/egusphere-egu2020-4183.
Bauer, W., Behrens, J., and Cotter C. [2019]: A structure-preserving split finite element discretization of the rotating shallow water equations in split Hamiltonian form. Abstract published in Geophysical Research Abstracts, Vol. 21, EGU2019-10215-1. PDF
Eldred, C. and Bauer, W. [2018]: Hamiltonian Formulation of the Rotating Shallow Water Equations using Split Exterior Calculus. Abstract published in Geophysical Research Abstracts, Vol. 20, EGU2018-10432. PDF
Bauer, W. and Behrens, J. [2017]: A structure-preserving split finite element discretization of the split 1D linear shallow-water equation. Abstract published in Geophysical Research Abstracts, Vol. 19, EGU2017-9751. PDF
Bauer, W. and Gay-Balmaz, F. [2016]: On the derivation of variational integrators for the rotating shallow-water equations. Abstract published in Geophysical Research Abstracts, Vol. 18, EGU2016-7904. PDF
Bauer, W. [2013]: A new covariant form of the equations of geophysical fluid dynamics and their structure-preserving discretization. Abstract published in Interdisciplinary Conference of Young Earth System Scientists (ICYESS) on understanding and interpreting uncertainties, ICYESS2013-47-1, 2013, Hamburg, Germany. PDF
Bauer, W. [2013]: A new covariant form of the equations of geophysical fluid dynamics and its discretization using discrete exterior calculus. Abstract published in Geophysical Research Abstracts, Vol. 15, EGU2013-5084. PDF
Bauer, W., Baumann, M., Scheck, L., Gassmann, A., Heuveline, V., Jones, S. [2013]: Simulation of tropical-cyclone-like vortices in shallow-water ICON-hex using goal-oriented r-adaptivity. Abstract published in Geophysical Research Abstracts, Vol. 14, EGU2012-12645-2, 2012. PDF
07/2018 Workshop at University of Reading, Gung Ho Network Meeting, UK. Talk: A locally conservative compatible finite element discretisation of the rotating shallow water equations. (W. Bauer, J. Behren, C. Cotter)
06/2018 The “Firedrake” user and developer workshop, Imperial College London, UK. Talk: A locally conservative compatible finite element discretisation of the rotating shallow water equations. (W. Bauer, J. Behren, C. Cotter)
01/2018 Seminar at University of Exeter, UK. Talk: Hamiltonian Formulation of the Rotating Shallow Water Equations using split Exterior Calculus (W. Bauer and C. Eldred)
11/2017 Seminar at INRIA, Rennes, France. Talk: Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations (W. Bauer and F. Gay-Balmaz)
10/2017 Seminar at INRIA Grenoble/University of Grenoble, France. Talk: Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations (W. Bauer and F. Gay-Balmaz)
09/2017 SIAM Conference on Mathematical and Computational Issues in the Geosciences}, Erlangen, Germany. Talk: Structure-preserving variational integrators for anelastic, pseudo-incompressible, and shallow-water flows (W. Bauer and F. Gay-Balmaz)
06/2017 Banff International Research Station for Mathematical Innovation and Discovery (BIRS), Banff, Alberta, Canada. Talk: Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations (W. Bauer and F. Gay-Balmaz)
05/2017 Partial Differential Equations (PDEs) on the sphere, Paris, France. Talk: Variational integrators for anelastic and pseudo-incompressible flows and various equations of GFD (W. Bauer and F. Gay-Balmaz)
02/2017 Workshop at Imperial College London}, London, United Kingdom. Talk: A structure-preserving split finite element discretization of the split 1D wave equations (W. Bauer and J. Behrens)
12/2016 Canadian Mathematical Society Winter Meeting 2016, Niagara Falls, Ontario, Canada. Talk: Variational integrators for anelastic and pseudo-incompressible flows (W. Bauer and F. Gay-Balmaz)
11/2016 Departmental Colloquium at Memorial University of Newfoundland}, St. John's, Canada. Talk: Variational integrators for anelastic and pseudo-incompressible flows (W. Bauer and F. Gay-Balmaz)
10/2016 Seminar at Max Planck Institute for Plasma Physics}, Munich, Germany. Talk: Variational integrators for anelastic and pseudo-incompressible flows (W. Bauer and F. Gay-Balmaz)
07/2016 International Conference on Symmetries and Integrability of Difference Equations (SIDE 12), Sainte-Adele, Quebec, Canada. Talk: Variational integrators for anelastic and pseudo-incompressible flows (W. Bauer and F. Gay-Balmaz)
10/2015 Partial Differential Equations (PDEs) on the sphere}, Seoul, Korea. Talk: On the derivation of geometrical integrators for compressible fluids: a hybrid shallow water model (W. Bauer and F. Gay-Balmaz)
11/2014 Interdisciplinary conference ``Fiction meets Science'' at Hanse-Wissenschaftskolleg (Institute of Advanced Study), Delmenhorst, Germany. Talk: ``Visiting artist researchers: the scientist's point of view'' (W. Bauer)
04/2017 European Geosciences Union General Assembly, Vienna, Austria. Poster: A structure-preserving split finite element discretization of the split 1D linear shallow-water equations (W. Bauer and J. Behrens)
04/2016 European Geosciences Union General Assembly}, Vienna, Austria. Poster: On the derivation of variational integrators for the rotating shallow-water equations (W. Bauer and F. Gay-Balmaz)
08/2015 Workshop on Geometry and Symmetry based Mathematical and Computational Methods, Utica, New York State, USA. Talk: A new covariant form of the equations of geophysical fluid dynamics and their structure-preserving discretization (W. Bauer)
10/2014 Conference on Structure-preserving Discretizations of Partial Differential Equations}, Minneapolis, Minnesota, USA. Poster: A new covariant form of the equations of geophysical fluid dynamics and their structure-preserving discretization (W. Bauer).
04/2014 Partial Differential Equations (PDEs) on the sphere}, Boulder, Colorado, USA. Talk: A new covariant form of the equations of geophysical fluid dynamics and their structure-preserving discretization (W. Bauer)
03/2014 Workshop of mathematical gradient school of the University of Hamburg}, Pl\"on, Germany. Talk: A new covariant form of the equations of geophysical fluid dynamics and their structure-preserving discretization (W. Bauer)
10/2013 Workshop at Imperial College London}, London, United Kingdom. Talk: A new covariant form of the equations of geophysical fluid dynamics and their structure-preserving discretization (W. Bauer)
09/2013 Interdisciplinary Conference of Young Earth System Scientists (ICYESS) on understanding and interpreting uncertainties}, Hamburg, Germany. Poster: A new covariant form of the equations of geophysical fluid dynamics and their structure-preserving discretization (W. Bauer) PDF
06/2013 SIAM-GS Conference on Geosciences}, Padova, Italy. Talk: Simulation of tropical-cyclone-like vortices in shallow-water ICON using goal-oriented r-adaptivity (W. Bauer, M. Baumann, L. Scheck, A. Gassmann, V. Heuveline, S. Jones)
04/2013 European Geosciences Union General Assembly}, Vienna, Austria. Poster: A new covariant form of the equations of geophysical fluid dynamics and its discretization using discrete exterior calculus (W. Bauer)
04/2012 European Geosciences Union General Assembly}, Vienna, Austria. Poster: Simulation of tropical-cyclone-like vortices in shallow-water ICON using goal-oriented r-adaptivity (W. Bauer, M. Baumann, L. Scheck, A. Gassmann, V. Heuveline, S. Jones)
06/2011 1st International MetStroem Conference on 'Multiple Scales in Fluid Dynamics and Meteorology', Berlin, Germany. Poster: Simulation of tropical-cyclone-like vortices in shallow-water ICON using goal-oriented r-adaptivity (W. Bauer, M. Baumann, L. Scheck, A. Gassmann, V. Heuveline, S. Jones)
05/2011 THORPEX European Regional Meeting}, Karlsruhe, Germany. Poster: Simulation of tropical-cyclone-like vortices in shallow-water ICON using goal-oriented r-adaptivity (W. Bauer, M. Baumann, L. Scheck, A. Gassmann, V. Heuveline, S. Jones) PDF
10/2010 MetStroem annual meeting, Berlin, Germany. Poster: Goal oriented adaptivity for tropical cyclones (L. Scheck, M. Baumann, W. Bauer, S. Jones, V. Heuveline, A. Gassmann)
12/2010 Semi annual ICON meeting, Max Planck Institute for Meteorology, Hamburg. Talk: An r-adaptive ICON shallow water model (W. Bauer)
07/2010 Mathematical seminar on the Engineering Mathematics and Computing Lab (EMCL), Karlsruhe, Germany. Talk: Development of a multi-resolution shallow water model based on an r-adaptive hexagonal C-grid (W. Bauer)
03 - 04/2010 Workshop series 'Model and Data Hierarchies for Simulating and Understanding Climate' at the Institute for Pure and Applied Mathematics (IPAM)}, UCLA, Los Angeles, USA. Talk: 'Shallow water equations in invariant form: A discretization method based on differential geometry' (W. Bauer)
01/2010 Seminar at the Meteorological Institute, University of Hamburg, Germany. Talk: Introduction of a discretization scheme for a grid adaptive ICON shallow water model (W. Bauer)
10/2009 MetStroem annual meeting, Berlin, Germany. Poster: Goal oriented adaptivity for tropical cyclones (L. Scheck, M. Baumann, W. Bauer, S. Jones, V. Heuveline, A. Gassmann)
10/2008 Workshop on theoretical meteorology}, Schoental, Germany. Talk: Fluid equations with exterior calculus: formulation and discretization (W. Bauer)