4 citations · 4 across the 1 of their papers we have counts for
4 papers
An energy consistent discretization of the nonhydrostatic equations in primitive variables
Mark A. Taylor, Oksana Guba, Andrew Steyer +3
We derive a formulation of the nonhydrostatic equations in spherical geometry with a Lorenz staggered vertical discretization. The combination conserves a discrete energy in exact…
Efficient IMEX Runge-Kutta methods for nonhydrostatic dynamics
Andrew Steyer, Christopher J. Vogl, Mark Taylor +1
We analyze the stability and accuracy (up to third order) of a new family of implicit-explicit Runge-Kutta (IMEX RK) methods. This analysis expedites development of methods with va…
Evaluation of Implicit-Explicit Additive Runge-Kutta Integrators for the HOMME-NH Dynamical Core
Christopher J. Vogl, Andrew Steyer, Daniel R. Reynolds +2
The nonhydrostatic High Order Method Modeling Environment (HOMME-NH) atmospheric dynamical core supports acoustic waves that propagate significantly faster than the advective wind…
Test equations and linear stability of implicit-explicit general linear methods
Andrew J. Steyer
Eigenvalue perturbation theory is applied to justify using complex-valued linear scalar test equations to characterize the stability of implicit-explicit general linear methods (IM…