Federal Project Grant Award Summary

Dartmouth College has been awarded $270,186 by the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for a collaborative research project running from July 1, 2026 through June 30, 2029. The award funds the development of robust computational tools designed to predict heat transfer and fluid motion through complex perforated materials—such as those used in water and air filtration systems, battery cooling devices, heat exchangers, and advanced manufactured materials. The project delivers a non-intrusive computational framework that combines stochastic formulations based on particle trajectories with flexible function representations to approximate macroscopic solutions without requiring resolution of fine-scale geometric details, thereby significantly reducing computational costs while maintaining accuracy.

The research extends this framework to time-dependent problems, establishing theoretical foundations for the coupling between stochastic sampling, time discretization, and physical dynamics while designing efficient sampling strategies to improve stability and accuracy across diverse geometries and boundary conditions. Beyond core research deliverables, the project integrates undergraduate education through hands-on research experiences in scientific computing and data science, contributing to workforce development in computational and data-driven methods. The anticipated advances could improve the design of energy-efficient technologies, industrial processes, and engineered materials by enabling fast and reliable predictions without prohibitively expensive conventional simulations.