English

On the feasibility of foundational models for the simulation of physical phenomena

Computational Engineering, Finance, and Science 2024-10-21 v1

Abstract

We explore the feasibility of foundation models for the simulation of physical phenomena, with emphasis on continuum (solid and fluid) mechanics. Although so-called learned simulators have shown some success when applied to specific tasks, it remains to be studied to what extent they are able to undergo severe changes in domain shape, boundary conditions and/or constitutive laws and still provide robust (i.e., hallucination-free) and accurate results. In this paper we perform an exhaustive study of these features, put ourselves in the worst-case scenario and study their resistance to such strong changes in their domain of application.

Keywords

Cite

@article{arxiv.2410.14645,
  title  = {On the feasibility of foundational models for the simulation of physical phenomena},
  author = {Alicia Tierz and Mikel M. Iparraguirre and Iciar Alfaro and David Gonzalez and Francisco Chinesta and Elias Cueto},
  journal= {arXiv preprint arXiv:2410.14645},
  year   = {2024}
}