most citedComparison of variational balance models for the rotating shallow water equations

6 citations · 6 across the 1 of their papers we have counts for

collaborators

3 papers

math.NA2019

Numerical integration of functions of a rapidly rotating phase

Haidar Mohamad, Marcel Oliver

We present an algorithm for the efficient numerical evaluation of integrals of the form \[ I(ω) = \int_0^1 F( x,\mathrm e^{\mathrm i ωx}; ω) \, \mathrm d x \] for sufficiently smoo…

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…