3 papers
cs.CE2025
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…
math.NA2024
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…
math.NA2024
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…