Technical report | Finite Element Modelling of Heat Exchange with Thermal Radiation

Abstract

This report addresses the mathematical and numerical modelling of heat exchange in a solid object with the effect of thermal radiation included. Three models are analysed, the general three dimensional model and two approximate models. Based on Finite Element Method (FEM), a fully vectorized MATLAB^® solver is developed for the three models, and simulation results are compared. The developed code can be used to enhance the VIRSuite software developed in DST Group for simulation of weapon-target engagement.

Executive Summary

This report addresses the mathematical and numerical modelling of heat exchange in a solid object with the effect of thermal radiation included. Three models are analysed, the general three dimensional model and two approximate models. Based on Finite Element Method(FEM), a fully vectorized MATLAB^® solver is developed for the three models, and simulation results are compared.

The developed code can be used to enhance the VIRSuite software developed in DST Group for simulation of weapon-target engagement.

It is recommended to seriously consider an option to employ hybrid meshes, which will be composed of 1D, 2D and 3D finite elements linked together with specially designed transition elements. A particular target can be better approximated by such elements, opening an opportunity for real-time simulation of very complex targets.