Monday 18 Sep 2017: An Overview of the SUNDIALS suite of Nonlinear Differential/Algebraic Equation Solvers and an Application to Nonhydrostatic Climate Dynamics
Dr. Carol Woodward - Lawrence Livermore National Laboratory, USA
The SUNDIALS Suite of Nonlinear Differential-Algebraic Solvers and Integrators includes highly robust and adaptive time integration methods and software for ODEs and DAEs. The newest addition to the SUNDIALS suite is the ARKode package of explicit, implicit, and additive Runge-Kutta methods implemented with adaptive time step control. Based on timeadaptive additive Runge Kutta methods, ARKode supports a variety of flexibility enhancements, including application-specific data structures, RK coefficients, and adaptivity functions, among others. In this talk, we will overview SUNDIALS and present results of the application of ARKode to nonhydrostatic systems of climate dynamics. In these climate systems, a key component in computational efficiency at high resolution is the development of time integration methods that can accurately step over the stiff modes that are irrelevant to the climate model (acoustic waves). To this end we assessed the relative performance of a number of ImplicitExplicit (IMEX) Runge-Kutta schemes in the Tempest nonhydrostatic atmospheric model (developed at UC Davis). Lastly, we present future plans for the SUNDIALS library.