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A Priori Estimation Of Memory Effects In Coarse-Grained Nonlinear Systems Using The Mori-Zwanzig Formalism
Ayoub Gouasmi, Eric Parish, Karthik Duraisamy
Reduced Order Models (ROMs) of complex, nonlinear dynamical systems often require closure, which is the process of representing the contribution of the unresolved physics on the re…
Non-Markovian Closure Models for Large Eddy Simulations using the Mori-Zwanzig Formalism
Eric J. Parish, Karthik Duraisamy
This work uses the Mori-Zwanzig (M-Z) formalism, a concept originating from non-equilibrium statistical mechanics, as a basis for the development of coarse-grained models of turbul…
A Dynamic Subgrid Scale Model for Large Eddy Simulations Based on the Mori-Zwanzig Formalism
Eric J. Parish, Karthik Duraisamy
The development of reduced models for complex multiscale problems remains one of the principal challenges in computational physics. The optimal prediction framework of Chorin et al…
Machine Learning-augmented Predictive Modeling of Turbulent Separated Flows over Airfoils
Anand Pratap Singh, Shivaji Medida, Karthik Duraisamy
A modeling paradigm is developed to augment predictive models of turbulence by effectively utilizing limited data generated from physical experiments. The key components of our app…