DATE:

Friday, March 24, 2023

TIME:

3:30 PM

LOCATION:

GMCS 314

SPEAKER:

Dr. Valeria Barra, Geological & Planetary Sciences, Caltech

ABSTRACT:

In this talk, we present different approaches and methodologies for the numerical solutions of Partial Differential Equations (PDEs) for applications arising mainly in Computational Fluid Dynamics (CFD) at different scales. Starting from problems emerging in the context of thin films and drops modeled by lubrication approximations, we are going to end with examples in global-scale, non-hydrostatic, atmospheric modeling for numerical weather and climate predictions.

First, we show a numerical investigation of the nonlinear interfacial dynamics of wetting and dewetting thin layers of non-Newtonian (viscoelastic) fluids in different settings. Subsequently, we broaden the applicability and the impact by introducing libCEED, an open-source mathematical software library with a purely algebraic interface for efficient implementations of finite-element operators that provides performance portability via run-time selection of specialized backends, optimized for CPUs and GPUs.

Finally, we present our work in the Climate Modeling Alliance (CliMA), a consortium project developing a new Earth System Model (ESM) entirely written in the Julia programming language, with a focus on ClimaCore.jl—the new open-source dynamical core (dycore) library for the land and atmosphere components of the ESM. We will present ClimaCore.jl’s application programming interface (API)—designed to facilitate the composition of differential operators and flexible discretizations—and some recent developments in the integration of stabilization methods, such as flux-limiters and flux-corrected transport, employed to reduce undesired numerical instabilities.

HOST:

Calvin Johnson

VIDEO: