Evidence
Same model and position · retrieved passages supplied · first output
A complementary direction is to embed interpretability directly into the model architecture rather than applying it post hoc. For example, defining reduced-order models in proper orthogonal decomposition coordinates constrains predictions to a subspace defined by the governing equations, embedding physics information from high-fidelity simulation snapshots directly into the model representation.
Passages supplied to the Evidence version
Learning physics-based reduced-order models for a single-injector combustion process ↗
This paper presents a physics-based data-driven method to learn predictive reduced-order models (ROMs) from high-fidelity simulations, and illustrates it in the challenging context of a single-injector combustion process. The method combines the perspectives of model reduction and machine learning.…
Read full passage excerpt
This paper presents a physics-based data-driven method to learn predictive reduced-order models (ROMs) from high-fidelity simulations, and illustrates it in the challenging context of a single-injector combustion process. The method combines the perspectives of model reduction and machine learning. Model reduction brings in the physics of the problem, constraining the ROM predictions to lie on a subspace defined by the governing equations. This is achieved by defining the ROM in proper orthogonal decomposition (POD) coordinates, which embed the rich physics information contained in solution snapshots of a high-fidelity computational fluid dynamics (CFD) model. The machine learning perspective brings the flexibility to use transformed physical variables to define the POD basis.