3 papers
physics.ao-ph2024
A Nonhydrostatic Mass-Conserving Dynamical Core for Deep Atmospheres of Variable Composition
James F. Kelly, Felipe A. V. de Bragança Alves, Stephen D. Eckermann +3
This paper develops and tests a deep-atmosphere, nonhydrostatic dynamical core (DyCore) targeted towards ground-thermosphere atmospheric prediction using the spectral element metho…
math.NA2023
A Performance Study of Horizontally Explicit Vertically Implicit (HEVI) Time-Integrators for Non-Hydrostatic Atmospheric Models
Francis X. Giraldo, Felipe Augusto Ventura de Braganca Alves, James F. Kelly +2
We conduct a thorough study of different forms of horizontally explicit and vertically implicit (HEVI) time-integration strategies for the compressible Euler equations on spherical…
physics.flu-dyn2023
Exponential time integration for 3D compressible atmospheric models
Greg Rainwater, Kevin C. Viner, P. Alex Reinecke
Recent advancements in evaluating matrix-exponential functions have opened the doors to the practical use of exponential time-integration methods in numerical weather prediction (N…