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Workshop: NeurIPS 2023 Workshop: Machine Learning and the Physical Sciences

A Physics-Constrained NeuralODE Approach for Robust Learning of Stiff Chemical Kinetics

Tadbhagya Kumar · Anuj Kumar · Pinaki Pal


The high computational cost associated with solving for detailed chemistry posesa significant challenge for predictive computational fluid dynamics (CFD) simulations of turbulent reacting flows. These models often require solving a system of coupled stiff ordinary differential equations (ODEs). While deep learning techniques have been experimented with to develop faster surrogate models, they often fail to integrate reliably with CFD solvers. This instability arises because deep learning methods optimize for training error without ensuring compatibility with ODE solvers, leading to accumulation of errors over time. Recently, NeuralODE-based techniques have offered a promising solution by effectively modeling chemical kinetics. In this study, we extend the NeuralODE framework for stiff chemical kinetics by incorporating mass conservation constraints directly into the loss function during training. This ensures that the total mass and the elemental species mass are conserved, a critical requirement for reliable downstream integration with CFD solvers. Our results demonstrate that this enhancement not only improves the physical consistency with respect to mass conservation criteria but also ensures better robustness and makes the training process more computationally efficient.

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