4 citations · 4 across the 1 of their papers we have counts for
2 papers
math.NA2019
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…
math.NA2019★ 4 cited
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…