Entropy stable reduced order modeling of nonlinear conservation laws

Abstract

Reduced order models of nonlinear conservation laws in fluid dynamics do not typically inherit stability properties of the full order model. We introduce projection-based hyper-reduced models of nonlinear conservation laws which are globally conservative and inherit a semi-discrete entropy inequality independently of the choice of basis and choice of parameters.

Accepted to JCP

References in corpus (2)

• Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations
• Efficient computation of Jacobian matrices for entropy stable summation-by-parts schemes

Cited by in corpus (8)

• Registration-based model reduction of parameterized two-dimensional conservation laws
• Calibration of projection-based reduced-order models for unsteady compressible flows
• Full and Reduced Order Model Consistency of the Nonlinearity Discretization in Incompressible Flows
• Non-intrusive Balancing Transformation of Highly Stiff Systems with Lightly-damped Impulse Response
• A discretize-then-map approach for the treatment of parameterized geometries in model order reduction
• Efficient computation of Jacobian matrices for entropy stable summation-by-parts schemes
• Data-Driven Closure of Projection-Based Reduced Order Models for Unsteady Compressible Flows
• Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations