Baldauf , M . 2008 . A tool for testing conservation properties in the COSMO-model , COSMO Newsletter No . 7 , Deutscher Wetterdienst, Offenbach a. M., Germany.
Bott , A . 1989 . A positive definite advection scheme obtained by non-linear renormalization of the advective fluxes. Mon . Wea. Re v . 117 , 1006 – 1015 .
Bryan , G. H. and Fritsch , J. M . 2002 . A benchmark simulation for moist nonhydrostatic numerical models. Mon . Wea. Re v . 130 , 2917 – 2928 .
Catry , B. , Geleyn , J.-F. , Tudor , M. , Benard , P. and Trojälcova , A . 2007 . Flux-conservative thermodynamic equations in a mass-weighted framework . Tellus 59A , 71 – 79 .
Doms , G . 2004 . Test of the moisture mass conservation in LM , COSMO Newsletter No . 3 , Deutscher Wetterdienst, Offenbach a. M., Germany.
Doms , G. and Schaettler , U . 2002 . A description of the nonhydrostatic Regional Model LM - part I: dynamics and numerics , DWD Docu-mentation , Deutscher Wetterdienst, Offenbach a . M ., Germany .
Doms , G. , Foerstner , J. , Heise , E. , Herzog , H.-J. , Raschendorfer , M. and co-authors . 2002 . A description of the nonhydrostatic Regional Model LM - part II: physical parametrization , DWD Documentation , Deutscher Wetterdienst, Offenbach a. M., Germany.
Doswell , C. A. and Rasmussen , E. N . 1994 . The effect of neglecting the virtual temperature correction on cape calculation . Wea. Forecast . 9 , 625 – 629 .
Dudhia , J . 1993 . A nonhydrostatic version of the penn state-ncar mesoscale model: validation tests and simulation of an atlantic cy-clone and cold front. Mon . Wea. Re v . 121 , 1493 – 1513 .
Durran , D. R . 1999 . Numerical methods for wave equations in geophys-ical fluid dynamics. In: Texts in Applied Mathematics , 1st Edition. (ed. Durran , D. R. ). Springer-Verlag , New York, USA .
Emanuel , K. A. (ed.) 1994 . Atmospheric convection , 1st Edition . Oxford University Press , New York .
Ferziger , J. H. and Peric , M . 2002 . Computational methods for fluid dynamics. In: Motion and Motion Systems , 3rd Edition (eds. Ferziger , J. H. and Peric , M. ). Springer-Verlag, Berlin , Heidelberg .
Förstner , J. , Baldauf , M. and Seifert , A . 2006 . Courant number inde-pendent advection of the moisture quantities for the LMK , COSMO Newsletter No. 6 , Deutscher Wetterdienst, Offenbach a. M., Germany.
Gassmann , A . 2002 . Nummerische Verfahren in der nichthydrostatis-chen Modellierung und ihr Einfluss auf die Giite der Nieder-schlagsvorhersage . PhD thesis , University of Bonn .
Gassmann , A. and Herzog , H.-J . 2008 . Towards a consistent numerical compressible nonhydrostatic model using generalized hamiltonian tools . Quart. J. R. Meteor Soc . 134 , 1597 – 1613 .
Lord , S. , Willoughby , H. and Piotrowicz , J . 1984 . Role of parameterized ice-phase microphysics in an axisymmetric nonhydrostatic tropical cyclone model. J. Atmos. Sc i . 41 , 2836 – 2848 .
Satoh , M . 2003 . Conservative scheme for a compressible nonhydrostatic model with moist processes. Mon . Wea. Re v . 131 , 1033 – 1049 .
Schliinzen , K. H . 1997 . On the validation of high-resolution atmospheric mesoscale models . J. Wind Eng. Ind. Aerodyn . 67 , 68 , 479 – 492 .
Schliinzen , K. H. , Stahlschmidt , T. , Rebers , A. , Niemeier , U. , Kriews , M. and co-authors . 1997 . Concept and realization of the mesoscale transport-and fluid-model `METRAS’, METRAS Techn. Rep, Mete-orologisches Institut, Universität Hamburg, Hamburg, Germany.
Skamarock , W. C. , Klemp , J. B. , Dudhia , J. , Gill , D. O. , Barker , D. M. and co-authors . 2005. A description of the Advanced Research WRF version 2, NCAR Tech. Note, Mesoscale and Microscale Meteorology Devision NCAR, Boulder, Colorado, USA.
Staniforth , A. and Cote , J . 1991 . Semi-lagrangian integration schemes for atmospheric model: a review . J. Geophys. Res . 119 , 2206 – 2223 .
Steppeler , J. , Doms , G. , Schättler , U. , Bitzer , H. W. , Gassmann , A. , and co-authors . 2003 . Meso-gamma scale forecasts using the nonhydro-static model LM. Meteor. Atmos. Phys . 82 , 75 - 96 .
Tiedtke , M . 1989 . A comprehensive mass flux scheme for cumulus parameterization in large scale models. Mon . Wea. Re v . 117 , 1779 – 1799 .
Wacker , U. , Frisius , T. and Herbert , F . 2006 . Evaporation and precip-itation surface effects in local mass continuity laws of moist air. J. Atmos. Sc i . 63 , 2642 – 2652 .
Wacker , U. and Herbert , F . 2003 . Continuity equations as expressions for local balances of masses in cloudy air . Tellus 55 , 247 – 254 .
Weisman , M. L. and Klemp , J. B . 1982 . The dependence of numerically simulated convective storms on vertical wind shear and buoyancy. Mon . Wea. Re v . 110 , 504 – 520 .
Wicker , L. J. and Slcamarock , W. C . 2002 . Time-splitting methods for elastic models using forward time schemes. Mon . Wea. Re v . 130 , 2088 – 2097 .
Xue , M. , Droegemeier , K. K. and Wong , V . 2000 . ARPS: a multi-scale nonhydrostatic atmospheric simulation and prediction tool. part I : model dynamics and verification . Meteor Atmos. Physics . 75 , 161 – 193 .