Mathematical Fluid Dynamics
Mathematical Fluid Dynamics
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Conservative numerical schemes with optimal dispersive wave relations -- Part II. Numerical evaluations
Conservative numerical schemes with optimal dispersive wave relations -- Part I. Derivations and analyses
An energy-conserving and an energy-and-enstrophy conserving numerical schemes are derived, by approximating the Hamiltonian formulation, based on the Poisson brackets and the vorticity-divergence variables, of the inviscid shallow water flows. The …
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