Research Communication | Open Access
Volume 2021 | Communication ID 77
Volume 2021 | Communication ID 77
| An instantaneous semi-Lagrangian approach for boundary control of a melting problem |
Youness Mezzan, Moulay Hicham Tber
Received |
Accepted |
Published |
January 26, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: We present an optimization strategy for a melting process that might be affected by a convection in the liquid phase. We focus on two- phase materials with sharp interface, and we adopt a single domain approach where the Stefan condition is automatically satisfied across the free boundary. Our goal is to control the temperature profile using the heat flux on a part of the boundary. To accommodate the problem, our strategy here exploits a semi-Lagrangian scheme [1] in the context of an instantaneous control approach [2]. The time derivative and the convection terms are combined as a ...