A fully Lagrangian constrained hydrostatic method for atmospheric flows
(2006) 11th Seminar “NUMDIFF” on Numerical Solution of Differential and Differential-Algebraic Equations — Location: Halle, Germany (4.September.2006)
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- Abstract
- The hydrostatic primitive equations of motion, which have been used in large-scale weather prediction over the last decades, are considered within a Lagrangian framework. This model is discretized by extending the Hamiltonian Particle-Mesh method of Gottwald et al. (2002), in which the particles represent large masses of fluid. The new model is a 2D hydrostatic one full ideal fluid equations in potential temperature function formulation, such that the particle motion is constrained to preserve a hydrostatic state. The spatial truncation is (at least locally) Hamiltonian, making integration with a symplectic method appropriate. A code for studying the air flow in the atmosphere was made and successfully tested for a two-dimensional problem.
Citations
Dubinkina, S., Frank, J., & Verwer, J. (2006). A fully Lagrangian constrained hydrostatic method for atmospheric flows. 11th Seminar “NUMDIFF” on Numerical Solution of Differential and Differential-Algebraic Equations, Halle, Germany. https://hdl.handle.net/2078.5/90267