David Montgomery is a Postdoctoral Researcher in Mathematics at UNC Chapel Hill, and an instructor in Applied Mathematics and Statistics at the Colorado School of Mines.
Areas of Research
Computational fluid dynamics
Mathematical modeling of hemostasis and thrombosis under flow
Surface-dependent enzymatic reactions under flow
High Performance Computing
Current Research Projects
Developed clotFoam: an open-source framework for simulating blood clotting in a variety of domains to study hemostasis, thrombosis, clotting disorders and treatments.
Understanding the effect of transmural pressure drop on blood clotting under flow in extravascular injuries.
Developing novel continuum models of platelet aggregation for applications in high-shear flow.
Education
BS in Applied Mathematics with minor in Physics from Metropolitan State University 2018
MS in Computational and Applied Mathematics from the Colorado School of Mines 2020
PhD in Computational and Applied Mathematics from the Colorado School of Mines 2023
Publications
David Montgomery, Federico Municchi and Karin Leiderman, clotFoam: An open-source framework to simulate blood clot formation under arterial flow. SoftwareX (2023) 101483, https://doi.org/10.1016/j.softx.2023.101483.
David Montgomery, A Computational framework for modeling blood clotting in extravascular injuries. Mines Theses & Dissertations (2023), https://hdl.handle.net/11124/178643.
Software Development
clotFoam: An open-source framework for simulating blood clotting. https://github.com/d-montgomery/clotFoam.
clotFoam tutorial: A pdf that introduces the basics of OpenFOAM and how to compile/edit the clotFoam software.