Entropy stable reduced order modeling of nonlinear conservation laws
arXiv:1909.09103 · doi:10.1016/j.jcp.2020.109789
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.
arXiv commentAccepted to JCP
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- Calibration of projection-based reduced-order models for unsteady compressible flows
- Full and Reduced Order Model Consistency of the Nonlinearity Discretization in Incompressible Flows
- Lagrangian Data-Driven Reduced Order Modeling of Finite Time Lyapunov Exponents
- 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
- Data-Driven Closure of Projection-Based Reduced Order Models for Unsteady Compressible Flows
- Efficient computation of Jacobian matrices for entropy stable summation-by-parts schemes
- Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations