4 papers
Mathematical Modeling and Error Estimation for the Thermal Dunking Problem: A Hierarchical Approach
Theron Guo, Kento Kaneko, Claude Le Bris +1
We consider the thermal dunking problem, in which a solid body is suddenly immersed in a fluid of different temperature, and study both the temporal evolution of the solid and the…
An N-Plus-1 GPT Agency for Critical Solution of Mechanical Engineering Analysis Problems
Anthony Patera, Rohan Abeyaratne
Generative AI, and specifically GPT, can produce a remarkable solution to a mechanical engineering analysis problem - but also, on occasion, a flawed solution. For example, an elem…
Certified Lumped Approximations for the Conduction Dunking Problem
Kento Kaneko, Claude Le Bris, Anthony T. Patera
We consider the dunking problem: a solid body at uniform temperature is placed in a environment characterized by farfield temperature and time-independent s…
Error Estimators for the Small-Biot Lumped Approximation for the Conduction Dunking Problem
Kento Kaneko, Claude Le Bris, Anthony T. Patera
We consider the dunking problem: a solid body at uniform temperature is placed in a environment characterized by farfield temperature and spatially uniform…