Frank Giraldo

Welcome to my website. I am a Professor and founding member of the Scientific Computing group at the Naval Postgraduate School, with an Adjunct Professor appointment in Applied Mathematics at the University of California at Santa Cruz.

My research focuses on Scientific Computing, particularly the development of continuous and discontinuous Galerkin methods for solving nonlinear partial differential equations in fluid dynamics. My group constructs numerical models for atmospheric and oceanic systems, emphasizing applications like hurricane simulations, multi-scale modeling, and GPU acceleration. We also work on projects such as NUMA (Navier-Stokes solver), xNUMA (multi-scale framework), and NUMO (ocean model).

Recent trends in my publications include adaptive mesh refinement for tropical cyclones, entropy-stable formulations, GPU-accelerated atmospheric models, and dynamic LES stabilization. These works span nonhydrostatic modeling, microphysics implementation, and high-order spectral element methods applied to geophysical fluid dynamics.

Emails: fxgirald@nps.edu, fgiraldo@ucsc.edu, frank.giraldo@gmail.com

Students advised include Soonpil Kang, Yassine Tissaoui, Michal Kopera, Sohail Reddy, Felipe A. V. B. Alves, and others working on hurricane simulations, mesh refinement, and GPU acceleration.