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math.DS2017
Optimal balance via adiabatic invariance of approximate slow manifolds
Georg A. Gottwald, Haidar Mohamad, Marcel Oliver
We analyze the method of optimal balance which was introduced by Viudez and Dritschel (J. Fluid Mech. 521, 2004, pp. 343-352) to provide balanced initializations for two-dimensiona…
physics.flu-dyn2017★ 6 cited
Comparison of variational balance models for the rotating shallow water equations
David G. Dritschel, Georg A. Gottwald, Marcel Oliver
We present an extensive numerical comparison of a family of balance models appropriate to the semi-geostrophic limit of the rotating shallow water equations, and derived by variati…