A mixed isogeometric analysis and control volume approach for heat transfer analysis of nonuniformly heated plates

Abstract

A framework for conducting heat transfer analysis of nonuniformly heated plates using isogeometric analysis (IGA) is proposed. The modeling approach represents a method that is capable of capturing the full 3D thermal states of plate structures subjected to nonuniform heating. The formulation can be deemed a mixed IGA and control-volume scheme that describes the governing equations using a set of 2D lumped temperature layers. The non-matching grids between the fire domain and the solid domain are weakly coupled. Numerical results demonstrate that the approach is a suitable first step towards coupled CFD-IGA-based fire-structure simulation.

Acknowledgments

Any opinions, findings, conclusions, or recommendations are those of the authors and do not necessarily reflect the views of the sponsoring agencies.

Additional information

Funding

This study was supported by the University of Michigan.