Articles | Volume 6, issue 6
https://doi.org/10.5194/gmd-6-2023-2013
https://doi.org/10.5194/gmd-6-2023-2013
Development and technical paper
 | 
22 Nov 2013
Development and technical paper |  | 22 Nov 2013

A hybrid Eulerian–Lagrangian numerical scheme for solving prognostic equations in fluid dynamics

E. Kaas, B. Sørensen, P. H. Lauritzen, and A. B. Hansen

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Cited articles

Cohen, R. A. and Schultz, D. M.: Contraction Rate and Its Relationship to Frontogenesis, the Lyapunov Exponent, Fluid Trapping, and Airstream Boundaries, Mon. Weather Rev., 133, 1353–1369, 2005.
Dong, L. and Wang, B.: Trajectory-Tracking Scheme in Lagrangian Form for Solving Linear Advection Problems: Preliminary Tests, Mon. Weather Rev., 140, 650–663, https://doi.org/10.1175/MWR-D-10-05026.1, 2011.
Dong, L. and Wang, B.: Trajectory-Tracking Scheme in Lagrangian Form for Solving Linear Advection Problems: Interface Spatial Discretization, Monthly Weather Review, 141, 324–339, https://doi.org/10.1175/MWR-D-12-00058.1, 2012.
Durran, D. R.: Numerical Methods for Fluid Dynamics: With Applications to Geophysics, Texts in Applied Mathematics, Springer, available at: http://books.google.dk/books?id=ThMZrEOTuuUC, 2010.
Eymard, R., Gallouët, T., and Herbin, R.: Finite volume methods, in: Handbook of Numerical Analysis, edited by: Ciarlet, P. G. and Lions, J. L., vol. 7, 713–1018, Elsevier, https://doi.org/10.1016/S1570-8659(00)07005-8, 2000.
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