A high-order multi-scale method and its convergence analysis for temperature-dependent nonlinear thermal radiation problems of composite structures
This work provides a more accurate and efficient method for simulating nonlinear thermal radiation in composite structures, which is important for high-temperature material applications, but it is an incremental improvement over existing multi-scale methods.
The paper proposes a high-order multi-scale computational model for nonlinear thermal radiation in composite structures with temperature-dependent properties, incorporating novel correction terms and deriving an explicit convergence rate. Numerical examples in 2D and 3D demonstrate improved accuracy and reduced computational cost compared to existing methods.
Accurate prediction of the nonlinear radiation thermal transfer in composite structures with temperature-dependent properties is significant in high-temperature applications of the materials. This study establishes a high-accuracy multi-scale computational model incorporating novel high-order correction terms for the high-fidelity simulation of nonlinear thermal radiation in composite structures, enabling local balance preserving of heat quantity. Moreover, an explicit convergence rate is also derived for the resulting high-order multi-scale solutions. Furthermore, an efficient multi-scale algorithm consisting of off-line and on-line computation stages is developed for high-accuracy simulation of nonlinear thermal radiation behavior in composite structures, and corresponding convergence analysis is also obtained. Two- and three-dimensional numerical examples are presented to validate the competitive advantages of the proposed multi-scale approach, not only exceptional numerical accuracy, but also reduced computational cost in both storage requirements and computational time.