Enhancing Low-Order Discontinuous Galerkin Methods with Neural Ordinary Differential Equations for Compressible Navier--Stokes Equations

no code implementations • 29 Oct 2023 • Shinhoo Kang, Emil M. Constantinescu

The growing computing power over the years has enabled simulations to become more complex and accurate.

Learning Subgrid-scale Models with Neural Ordinary Differential Equations

no code implementations • 20 Dec 2022 • Shinhoo Kang, Emil M. Constantinescu

Our method inherits the advantages of NODEs and can be used to parameterize subgrid scales, approximate coupling operators, and improve the efficiency of low-order solvers.

Mass-Conserving Implicit-Explicit Methods for Coupled Compressible Navier-Stokes Equations

no code implementations • 22 Jan 2021 • Shinhoo Kang, Emil M. Constantinescu, Hong Zhang, Robert L. Jacob

Earth system models are composed of coupled components that separately model systems such as the global atmosphere, ocean, and land surface.

Numerical Analysis Numerical Analysis Computational Physics Fluid Dynamics 76N06, 65M08, 65L04