1.5k citations · 3.4k across the 43 of their papers we have counts for
6 papers · 1 filter
A formal proof of the Lax equivalence theorem for finite difference schemes
Mohit Tekriwal, Karthik Duraisamy, Jean-Baptiste Jeannin
The behavior of physical systems is typically modeled using differential equations which are too complex to solve analytically. In practical problems, these equations are discretiz…
Formulation of Entropy-Stable schemes for the multicomponent compressible Euler equations
Ayoub Gouasmi, Karthik Duraisamy, Scott Murman
In this work, Entropy-Stable (ES) schemes are formulated for the multicomponent compressible Euler equations. Entropy-conservative (EC) and ES fluxes are derived. Particular attent…
On entropy stable temporal fluxes
Ayoub Gouasmi, Karthik Duraisamy, Scott Murman
Entropy-stable (ES) schemes have gained considerable attention over the last decade, especially in the context of turbulent flow simulations using high-order methods. While promisi…
Entropy Conservative Schemes and the Receding Flow Problem
Ayoub Gouasmi, Scott Murman, Karthik Duraisamy
This work delves into the family of entropy conservative (EC) schemes introduced by Tadmor. The discussion is centered around the Euler equations of fluid mechanics and the recedin…
A Unified Framework for Multiscale Modeling using the Mori-Zwanzig Formalism and the Variational Multiscale Method
Eric J. Parish, Karthik Duraisamy
We describe a paradigm for multiscale modeling that combines the Mori-Zwanzig (MZ) formalism of Statistical Mechanics with the Variational Multiscale (VMS) method. The MZ-VMS appro…
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…