Atmospheric Dynamics :

  • Compact introduction to atmospheric dynamics

  • Focus on key concepts

  • Comprehensive textbook



  1. Achatz, U., 1989: Stabilität von Elektron-Positron-Jets in aktiven galaktischen Kernen. Diplomarbeit, Universität Bonn

  2. Achatz, U., 1992: Dispersive Elektromagnetische Plasmawellen und ihr Einfluss auf den Transport geladener Teilchen in thermischen astrophysikalischen Plasmen. Doktorarbeit, Universität Bonn

  3. Achatz, U., 2006: Modal and nonmodal instabilities of gravity waves in rotating Boussinesq fluids: Linear and nonlinear dynamics. Habilitationsschrift, Universität Rostock (pdf)

Referierte Veröffentlichungen (als Erstautor)

  1. Achatz, U., H. Lesch und R. Schlickeiser, 1990: Jets and hot spots in extragalactic radio sources. Astron. Astrophys., 233, 391-409

  2. Achatz, U., J. Steinacker und R. Schlickeiser, 1991: Charged particle transport in a turbulent magnetized plasma: A reassessment and extension of quasilinear theory. Astron. Astrophys., 250, 266-279

  3. Achatz, U., W. Dröge, R. Schlickeiser und G. Wibberenz, 1993: Interplanetary Transport of Solar Electrons and Protons: Effect of Dissipative Processes in the Magnetic Field Power Spectrum. J. Geophys. Res., 98, 13261-13280

  4. Achatz, U. und R. Schlickeiser, 1993: Electromagnetic stability of electron-positron beams. Astron. Astrophys., 274, 165-173

  5. Achatz, U., W. Dröge, R. Schlickeiser und G. Wibberenz, 1993: Interplanetary Transport of Solar Cosmic Rays, Nucl. Phys. B (Proc. Suppl.), 33 A, B, 200-207

  6. Achatz, U., G. Schmitz und K.-M. Greisiger, 1995: Principal Interaction Patterns in baroclinic wave life cycles. J. Atmos. Sci., 52, 3201-3213 (pdf)

  7. Achatz, U. und G. Schmitz, 1997: On the closure problem in the reduction of complex atmospheric models by PIPs and EOFs: A comparison for the case of a two-layer model with zonally symmetric forcing. J. Atmos. Sci., 54, 2452-2474 (pdf)

  8. Achatz, U. und G. Branstator, 1999: A two-layer model with empirical linear corrections and reduced order for studies of internal climate variability. J. Atmos. Sci., 56, 3140-3160

  9. Achatz, U. und J. D. Opsteegh, 2003a: Primitive-equation-based low-order models with seasonal cycle. Part I: Model construction. J. Atmos. Sci., 60, 465-477 (extended pdf)

  10. Achatz, U. und J. D. Opsteegh, 2003b: Primitive-equation-based low-order models with seasonal cycle. Part II: Application to complexity and nonlinearity of large-scale atmosphere dynamics. J. Atmos. Sci., 60, 478-490 (extended pdf)

  11. Achatz, U., 2005: On the role of optimal perturbations in the instability of monochromatic gravity waves. Phys. of Fluids, 17, 094107, [DOI: 10.1063/1.2046709] (pdf)

  12. Achatz, U., und G. Schmitz, 2006a: Shear and static instability of inertia-gravity wave packets: Short-term modal and nonmodal growth. J Atmos. Sci., 63, 397-413 (extended pdf)

  13. Achatz, U., und G. Schmitz, 2006b: Optimal growth in inertia-gravity wave packets: Energetics, long-term development, and three-dimensional structure. J. Atmos. Sci., 63, 414-434 (extended pdf)

  14. Achatz, U., 2007a: The primary nonlinear dynamics of modal and nonmodal perturbations of monochromatic inertia-gravity waves. J. Atmos. Sci., 64, 74-95 (pdf)

  15. Achatz, U., 2006b: Modal and nonmodal perturbations of monochromatic high-frequency gravity waves: Primary nonlinear dynamics, J. Atmos. Sci., 64, 1977- 1994 (pdf)

  16. Achatz, U., 2007c: Gravity-wave breaking: Linear and primary nonlinear dynamics. Adv. Space Res., 40, 719-733 (pdf)

  17. Achatz, U., N. Grieger, und H. Schmidt, 2008: Mechanisms Controlling the Diurnal Solar Tide: Analysis Using a GCM and a Linear Model. J. Geophys. Res., 113, A08303, doi:10.1029/2007JA012967 (pdf)

  18. Achatz, U., R. Klein and F. Senf, 2010: Gravity waves, scale asymptotics and the pseudo-incompressible equations. J. Fluid Mech., 663, 120-147 (pdf)

  19. Achatz, U., F. Senf and N. Grieger, 2012: Solar diurnal tides in the middle atmosphere: Interactions with the zonal mean flow, planetary waves and gravity waves. In Climate and weather
    of the sun-earth system (CAWSES): Highlights from a priority program. Ed. F.-J. Lübken. Springer: Dordrecht , pp. 507-516

  20. Achatz, U., U. Löbl, S. Dolaptchiev and A. Gritsun, 2013: Fluctuation-Dissipation Supplemented by Nonlinearity: A Climate-Dependent Sub-Grid-Scale Parameterization in Low-Order Climate Models. J. Atmos Sci., 70, 1833-1846 (pdf)

  21.  Achatz, U., Ribstein, B., Senf, F., and R. Klein, 2017: The interaction between synoptic-scale balanced flow and a finite-amplitude mesoscale wave field throughout all atmospheric layers: Weak and moderately strong stratification. Quart. J. Roy. Meteor. Soc., 143, 342–361 (pdf)

Referierte Veröffentlichungen (als Koautor)

  1. Dröge, W., U. Achatz, W. Wanner, R. Schlickeiser und G. Wibberenz, 1993: Quasi-linear theory and the phenomenology of interplanetary solar particle transport. Astrophys. J., 407, L95-L98

  2. Schlickeiser, R. und U. Achatz, 1993: Cosmic-ray particle transport in weakly turbulent plasmas. Part 1. Theory. J. Plasma Physics, 49, 63-77

  3. Schlickeiser, R. und U. Achatz, 1993: Cosmic-ray particle transport in weakly turbulent plasmas. Part 2. Mean free path of cosmic-ray protons. J. Plasma Physics, 50, 85-107

  4. Klein, U., K.-H. Mack, R. Strom, R. Wielebinski und U. Achatz, 1994: A high-frequency radio continuum investigation of giant radio galaxies. I. Observations of six objects at 2.8 cm wavelength. Astron. Astrophys., 283, 729-744

  5. Grieger, N., G. Schmitz, und U. Achatz, 2004: The dependence of the nonmigrating diurnal tide in the mesosphere and lower thermosphere on stationary planetary waves. J. Atmos. Sol.-Terr. Phys., 66, 733-754

  6. Klein, R., U. Achatz, D. Bresch, O. M. Knio, P. K. Smolarkiewicz, 2010: Regime of Validity of Soundproof Atmospheric Flow Models . J. Atmos. Sci., 67, 3226–3237

  7. Senf, F. and Achatz, U., 2011: On the impact of middle-atmosphere thermal tides on the propagation and dissipation of gravity waves. J. Geophys. Res. 116, D24110, doi:10.1029/2011JD015794 (pdf)

  8. Fruman, M. D. and U. Achatz, 2012: Secondary instabilities in breaking inertia-gravity waves. J. Atmos. Sci. 69, 303-322 (pdf)

  9. Dolaptchiev, S.I., Achatz U. and I. Timofeyev, 2013: Stochastic closure for local averages in the finite-difference discretization of the forced Burgers equation. Theor. Comput. Fluid Dyn. 27, 297-317 (pdf)
  10. Rieper, F., Achatz, U. und Klein, R., 2013: Range of validity of an extended WKB theory for atmospheric gravity waves: one-dimensional and two-dimensional case. J. Fluid Mech., 729, 330-363
  11. Rieper, F., Hickel, S., and U. Achatz, 2013: A conservative integration of the pseudo-incompressible equations with implicit turbulence parameterization. Mon. Wea. Rev., 141, 861-886 (pdf) 
  12. Dolaptichiev, S.I., Timofeyev, I., and U. Achatz, 2013: Subgrid-scale closure for the inviscid Burgers-Hopf equation, Comm. Math. Sci., 11, 757–777 (pdf)
  13. Muraschko, J. , Fruman, M. D. , Achatz, U. , Hickel, S., and Y. Toledo, 2015: On the application of WKB theory for the simulation of the weakly nonlinear dynamics of gravity waves. Q. J. Roy. Meteorol. Soc., 141, 676–697 (pdf)
  14. Borchert, S., U. Achatz and M.D. Fruman, 2014: Gravity Wave Emission in an Atmosphere-like Configuration of the Differentially Heated Rotating Annulus Experiment. J. Fluid Mech., 758, 287–311 (pdf)
  15. Fruman, M.D., Remmler, S., Achatz, U. und S. Hickel, 2014: On the construction of a direct numerical simulation of a breaking inertia-gravity wave in the upper mesosphere. J. Geophys. Res., 119, 11,613--11,640 (pdf)

  16. Vinzce. M.,  Borchert, S., Achatz, U. , von Larcher, T., Baumann, M., Liersch, C., Remmler, S., Beck, T., Alexandrov, K., Egbers, C., Fröhlich, J., Heuveline, V., Hickel, S., and Harlander, U., 2014: Benchmarking in a rotating annulus: a comparative experimental and numerical study of baroclinic wave dynamics. Met. Zeitschr., 23, 611-635 (pdf)

  17. Borchert, S., Achatz. U., Remmler, S., Hickel, S., Harlander, U., Vincze, M., Alexandrov, K.D., Rieper, F., Heppelmann, T. and S.I. Dolaptchiev, 2014: Finite-volume models with implicit subgrid-scale parameterization for the differentially heated rotating annulus. Met. Zeitschr.,  23, 561-580 (pdf)

  18. Remmler, S., Fruman, M.D., Achatz, U. and S. Hickel, 2015: Numerical simulation of breaking gravity waves. In "Direct and Large-Eddy Simulation IX", eds. Fröhlich, J., Kuerten, H., Geurts, B.J. and V. Armenio, Springer, 413-418

  19. Remmler, S., Hickel, S., Fruman, M.D. and U. Achatz, 2015: Direct numerical simulation of breaking atmospheric gravity waves, in "High Performance Computing in Science and Engineering ‘14", Eds. Nagel, W.E., Kröner, D.H., and M.M. Resch, Springer, 593-607

  20. Remmler, S., Hickel, S., Fruman, M.D., and U. Achatz, 2015: Validation of Large-Eddy Simulation Methods for Gravity-Wave Breaking. J. Atmos. Sci., 72, 3537-3562 (pdf)
  21. Ribstein, B., Achatz, U., and F. Senf, 2015: The interaction between Gravity Waves and Solar Tides: Results from 4D Ray Tracing coupled to a Linear Tidal Model, J. Geophys. Res., 120, 6795-6817  (pdf)
  22. Ribstein, B. and  U. Achatz 2016: The interaction between gravity waves and solar tides in a linear tidal model with a 4D ray-tracing gravity-wave parameterization. J. Geophys. Res., 121, 8936-8950 (pdf)
  23. Bölöni, G.,  Ribstein, B., Muraschko, J., Sgoff, C., Wei, J. and U. Achatz 2016: The interaction between atmospheric gravity waves and large-scale flows: an efficient description beyond the non-acceleration paradigm. J. Atmos. Sci., 73, 4833-4852 (pdf)
  24. Wouters, J., Dolaptchiev, S.I., Lucarini. V., and U. Achatz 2016: Parametrization of stochastic multiscale triads. Nonlin. Processes Geophys., 23, 435-445 (pdf)
  25. Berner J., Achatz U., Batte L., Bengtsson L., de la Cámara A., Christensen H., Colangeli M, Coleman D., Crommelin D., Dolaptchiev S.I., Franzke C., Friederichs P., Imkeller P., Järvinen H., Juricke S., Kitsios V., Lott F., Lucarini V.; Mahajan S., Palmer T., Penland C.,  Sakradzija M., von Storch J.-S., Weisheimer A., Weniger M., Williams P.,  and J.-I. Yano 2017: Stochastic parameterization: Towards a new view of weather and climate models. Bull. Am. Met. Soc., 98, 565 - 587 (pdf)

  26. Schlutow, M., Klein, R., and U. Achatz 2017: Finite-amplitude gravity waves in the atmosphere: traveling wave solutions, J. Fluid Mech., 826, 1034-1065 (pdf)

  27. Hien, S., Rolland, J., Borchert, S., Schoon, L., Zülicke, C., and U. Achatz, 2018: Spontaneous inertia-gravity wave emission in the differentially heated rotating annulus experiment. J. Fluid Mech., 838, 5-41.(pdf)

  28. Wilhem, J., Akylas, T.R., Bölöni, G., Wei, J., Ribstein, B., Klein, R., and U. Achatz 2018: Interactions between Meso- and Sub-Mesoscale Gravity Waves and their Efficient Representation in Mesoscale-Resolving Models, J. Atmos. Sci., 75, 2257-2280 (pdf)

  29. Zacharuk, M., Dolaptchiev, S.I., Achatz, U. and Timofeyev, I. 2018: Stochastic subgrid-scale parameterization for one-dimensional shallow water dynamics using stochastic mode reduction. Quart. J. Roy. Met. Soc., 144:1975–1990 (pdf)

  30. Pieroth, M., Dolaptchiev, S.I., Zacharuk, M., Heppelmann, T., Gritsun, A., Achatz, U. 2018: Climate-Dependence in Empirical Parameters of Subgrid-Scale Parameterizations using the Fluctuation-Dissipation Theorem. J. Atmos. Sci.,  75(11):3843–3860 (pdf)

  31. Sutherland, B.R., Achatz, U., Caulfield, C.P., and J.M. Klymak 2019: Recent Progress in Modelling Imbalance in the Atmosphere and Ocean. Phys. Rev.  Fluids,44:010501(pdf)

  32. Dolaptchiev, S.I., Achatz, U. and Th. Reitz, 2019: Planetary geostrophic Boussinesq dynamics: barotropic flow, baroclinic instability and forced stationary waves. Quart. J. Roy. Met. Soc., accepted (pdf)
  33. Rodda, C.,  Hien, S.,  Achatz, U., and  U. Harlander, 2019: A new atmospheric-like differentially heated rotating annulus configuration to study gravity wave emission from jets and fronts. Exp. Fluids, accepted (pdf)

  34. Kim, Y., G. Bölöni, S. Borchert, H. Chun, and U. Achatz, 2020: Towards transient subgrid-scale gravity wave representation in atmospheric models. Part II: Wave intermittency simulated with convective sources. J. Atmos. Sci., doi: https://doi.org/10.1175/JAS-D-20-0066.1.

  35. Baumgartner, M., Weigel, R., Harvey, A.H., Plöger, F., Achatz, U., and P. Spichtinger, 2020: Reappraising the appropriate calculation of a common meteorological quantity: Potential Temperature. Atmos. Chem. Phys., accepted

  36. Völker, G.S., Akylas T.R. and U. Achatz, 2021: An Application of WKBJ Theory for Triad Interactions of Internal GravityWaves in Varying Background Flows. Quart. J. Roy. Met. Soc., accepted (pdf)

  37. Bölöni, G., Kim, Y.-H., Borchert, S., and U. Achatz, 2021: Toward transient subgrid-scale gravity wave representation in atmospheric models. Part I: Propagation model including non-dissipative direct wave-mean-flow interactions. J. Atmos. Sci., accepted. (pdf)
  38. Kim, Y.-H., and U. Achatz, 2021: Interaction between stratospheric Kelvin waves and gravity waves in the easterly QBO phase. Geophys. Res. Lett., accepted.(pdf)
  39. Schmid, F., Gagarina, E., Klein, R., and U. Achatz, 2021:  Towards a numerical laboratory for investigations of gravity-wave mean-flow interactions in the atmosphere. Mon. Wea. Rev. accepted (pdf)