98 citations · 104 across the 3 of their papers we have counts for
3 papers
physics.ao-ph2022★ 2 cited
Thermodynamically consistent versions of approximations used in modelling moist air
Christopher Eldred, Mark Taylor, Oksana Guba
Some existing approaches to modeling the thermodynamics of moist air make approximations that break , such that the resulting thermodynamics do…
math.NA2019★ 98 cited
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…