Numerical entropy conservation without sacrificing Charney-Phillips grid optimal wave propagation
Thuburn, J
Date: 14 June 2022
Article
Journal
Quarterly Journal of the Royal Meteorological Society
Publisher
Wiley / Royal Meteorological Society
Publisher DOI
Abstract
Conservation of entropy or potential temperature and accurate representation of wave propagation without computational modes are both desirable properties for a numerical model of the atmosphere. However, they appear to require different model formulations, forcing model developers to choose between them. Here it is shown that, by a ...
Conservation of entropy or potential temperature and accurate representation of wave propagation without computational modes are both desirable properties for a numerical model of the atmosphere. However, they appear to require different model formulations, forcing model developers to choose between them. Here it is shown that, by a straightforward modification of the horizontal entropy fluxes, numerical entropy conservation can be achieved without sacrificing accurate wave propagation. The result is confirmed by a numerical linear normal mode analysis for a simple but suitably modified finite volume scheme, and by buoyant bubble and gravity wave test cases in a vertical slice model using a suitably modified conservative semi-Lagrangian transport scheme.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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