Entropy stable reduced order modeling of nonlinear conservation laws
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Publication:2123823
DOI10.1016/j.jcp.2020.109789OpenAlexW2974671401MaRDI QIDQ2123823
Publication date: 14 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.09103
Related Items (13)
Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows ⋮ Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations ⋮ Registration-based model reduction of parameterized two-dimensional conservation laws ⋮ Efficient hyperreduction of high-order discontinuous Galerkin methods: element-wise and point-wise reduced quadrature formulations ⋮ Model order reduction for compressible flows solved using the discontinuous Galerkin methods ⋮ On Port-Hamiltonian Approximation of a Nonlinear Flow Problem on Networks ⋮ No pressure? Energy-consistent ROMs for the incompressible Navier-Stokes equations with time-dependent boundary conditions ⋮ On the impact of dimensionally-consistent and physics-based inner products for POD-Galerkin and least-squares model reduction of compressible flows ⋮ Energy-conserving hyper-reduction and temporal localization for reduced order models of the incompressible Navier-Stokes equations ⋮ 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 ⋮ Goal-oriented model reduction for parametrized time-dependent nonlinear partial differential equations ⋮ Full and reduced order model consistency of the nonlinearity discretization in incompressible flows
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Construction of energy-stable projection-based reduced order models
- High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
- A numerical investigation of velocity-pressure reduced order models for incompressible flows
- Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations
- Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants
- A generalized framework for nodal first derivative summation-by-parts operators
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- Reliable reduced-order models for time-dependent linearized Euler equations
- Stabilization of projection-based reduced order models for linear time-invariant systems via optimization-based eigenvalue reassignment
- Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison
- Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier-Stokes equations
- Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
- Goal-oriented, model-constrained optimization for reduction of large-scale systems
- Stable Galerkin reduced-order models for linearized compressible flow
- On the stability of the reduced basis method for Stokes equations in parametrized domains
- A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
- On the symmetric form of systems of conservation laws with entropy
- Systems of conservation laws of mixed type
- Reduced-order modeling of a two-dimensional flow with moving shocks.
- Structure-preserving model reduction for mechanical systems
- On discretely entropy conservative and entropy stable discontinuous Galerkin methods
- Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction
- Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
- Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements
- Simultaneous approximation terms for multi-dimensional summation-by-parts operators
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
- An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs
- Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems
- Entropy stable artificial dissipation based on Brenner regularization of the Navier-Stokes equations
- Dimensional hyper-reduction of nonlinear finite element models via empirical cubature
- Structure-preserving Galerkin POD reduced-order modeling of Hamiltonian systems
- Skew-symmetric entropy stable modal discontinuous Galerkin formulations
- Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
- Entropy-stable schemes for the Euler equations with far-field and wall boundary conditions
- Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
- Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition
- A New Selection Operator for the Discrete Empirical Interpolation Method---Improved A Priori Error Bound and Extensions
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Entropy Stable Staggered Grid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier--Stokes Equations
- Structure-Preserving Model Reduction for Nonlinear Port-Hamiltonian Systems
- Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency
- Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models
- Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- On the stability and convergence of a Galerkin reduced order model (ROM) of compressible flow with solid wall and far-field boundary treatment
- REDUCED BASIS APPROXIMATION ANDA POSTERIORIERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS
- Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems
- Symplectic Model Reduction of Hamiltonian Systems
- Hyper-reduction of mechanical models involving internal variables
- The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
- Structure Preserving Model Reduction of Parametric Hamiltonian Systems
- Transport Reversal for Model Reduction of Hyperbolic Partial Differential Equations
- The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena
- Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
- Stabilization of projection‐based reduced‐order models
- Interpolation-Based ${\cal H}_2$-Model Reduction of Bilinear Control Systems
- Missing Point Estimation in Models Described by Proper Orthogonal Decomposition
- Conservative Model Order Reduction for Fluid Flow
- Model Order Reduction for Problems with Large Convection Effects
- Preserving Lagrangian Structure in Nonlinear Model Reduction with Application to Structural Dynamics
- Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
- Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations
- ENTROPY STABLE APPROXIMATIONS OF NAVIER–STOKES EQUATIONS WITH NO ARTIFICIAL NUMERICAL VISCOSITY
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
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