Projection-Based Model Reduction for Finite-Element Simulations of Thermal Protection Systems

Projection-Based Model Reduction for Finite-Element Simulations of Thermal Protection Systems
Marco Arienti, Patrick Blonigan, Francesco Rizzi, John Tencer, and Micah Howard
AIAA Scitech 2021 Forum 11-15 & 19-21 January 2021
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Abstract

Thermal protection system designers rely heavily on computational simulation tools for design optimization and uncertainty quantification. Because high-fidelity analysis tools are computationally expensive, analysts primarily use low-fidelity or surrogate models instead. In this work, we explore an alternative approach wherein projection-based reduced-order models (ROMs) are used to approximate the computationally infeasible high-fidelity model. ROMs are preferable to alternative approximation approaches for high-consequence applications due to the presence of rigorous error bounds. This work presents the first application of ROMs to ablation systems. In particular, we present results for Galerkin and least-squares Petrov- Galerkin ROMs of 1D and 2D ablation system models.