Energy-conserving discretisation of turbulent shear and buoyancy production |
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| Institution: | 1. Department of Meteorology, Pennsylvania State University, University Park, Pennsylvania;2. Department of Mechanical Engineering, University of Houston, Houston, Texas;3. Department of Mechanical Engineering, Johns Hopkins University, Baltimore, Maryland;1. Atmospheric and Oceanic Sciences Program, Princeton University, Princeton, New Jersey, USA;2. Department of Physical and Environmental Sciences, University of Toronto Scarborough, Toronto, Canada;3. Earth and Space Research, Corvallis, Oregon, USA;4. Rosenstiel School of Marine and Atmospheric Science, University of Miami, Miami, Florida, USA |
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| Abstract: | An energy-conserving discretisation of the shear and buoyancy production terms for turbulent kinetic energy is derived. In contrast to `ad hoc' numerical schemes, this guarantees that all mean kinetic and potential energy which is lost or gained due to vertical mixing is exactly subtracted or added to the turbulent kinetic energy budget. It is further shown in a numerical wind-entrainment experiment that this new methods results in significantly more stable numerical solutions. |
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