no code implementations • 5 Jul 2023 • Marshall Davey, Charles Puelz, Simone Rossi, Margaret Anne Smith, David R. Wells, Greg Sturgeon, W. Paul Segars, John P. Vavalle, Charles S. Peskin, Boyce E. Griffith
Here we introduce and benchmark a comprehensive mathematical model of cardiac fluid dynamics in the human heart.
no code implementations • 1 Dec 2020 • Changhong Mou, Zhu Wang, David R. Wells, Xuping Xie, Traian Iliescu
In this paper, we survey the ROMs developed for the QGE in order to understand their potential in efficient numerical simulations of more complex ocean flows: We explain how classical numerical methods for the QGE are used to generate the ROM basis functions, we outline the main steps in the construction of projection-based ROMs (with a particular focus on the under-resolved regime, when the closure problem needs to be addressed), we illustrate the ROMs in the numerical simulation of the QGE for various settings, and we present several potential future research avenues in the ROM exploration of the QGE and more complex models of geophysical flows.
Fluid Dynamics Numerical Analysis Numerical Analysis