Generalized Joint Probability Density Function Formulation inTurbulent Combustion using DeepONet

Understand

Joint probability density function (PDF)-based models in turbulent combustion provide direct closure for turbulence-chemistry interactions.

• The joint PDFs capture the turbulent flame dynamics at different spatial locations and hence it is crucial to represent them accurately.
• The jointPDFs are parameterized on the unconditional means of thermo-chemical state variables, which can be high dimensional.
• Thus, accurate construction of joint PDFs at various spatial locations may require an exorbitant amount of data.