Development of POD-based reduced order models applied to shallow water equations using augmented Riemann solvers
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Publication:6094702
DOI10.1016/j.cma.2023.116038OpenAlexW4362631029MaRDI QIDQ6094702
José Luis Gracia, A. Navas-Montilla, P. Solán-Fustero, P. García-Navarro
Publication date: 14 September 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2023.116038
shallow water equationscomputational resourcesRoe methodreduced-order modellingLax-Friedrichs methodPOD methods
Cites Work
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- A POD-based reduced-order model for free surface shallow water flows over real bathymetries for Monte-Carlo-type applications
- Restoration of the contact surface in the HLL-Riemann solver
- Weighted essentially non-oscillatory schemes
- Upwind methods for hyperbolic conservation laws with source terms
- On numerical treatment of the source terms in the shallow water equations
- Low-dimensional model for vortex merging in the two-dimensional temporal mixing layer
- The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations
- Stabilized principal interval decomposition method for model reduction of nonlinear convective systems with moving shocks
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Principal component analysis.
- Neural network modeling for near wall turbulent flow.
- Model reduction for compressible flows using POD and Galerkin projection
- Efficient implementation of weighted ENO schemes
- A stabilized mixed formulation using the proper generalized decomposition for fluid problems
- A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow
- POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition
- A POD-based ROM strategy for the prediction in time of advection-dominated problems
- Full and reduced order model consistency of the nonlinearity discretization in incompressible flows
- Reduced-order modeling via proper generalized decomposition for uncertainty quantification of frequency response functions
- Lagrangian dynamic mode decomposition for construction of reduced-order models of advection-dominated phenomena
- Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems
- Embedded domain reduced basis models for the shallow water hyperbolic equations with the shifted boundary method
- Proper generalized decomposition with time adaptive space separation for transient wave propagation problems in separable domains
- A stabilized mixed space-time proper generalized decomposition for the Navier-Stokes equations
- POD-Galerkin method for finite volume approximation of Navier-Stokes and RANS equations
- Augmented versions of the HLL and HLLC Riemann solvers including source terms in one and two dimensions for shallow flow applications
- POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model
- On the influence of the nonlinear term in the numerical approximation of incompressible flows by means of proper orthogonal decomposition methods
- Dynamic mode decomposition of numerical and experimental data
- Improving simple explicit methods for unsteady open channel and river flow
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- On Godunov-Type Methods for Gas Dynamics
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Evaluation of Proper Orthogonal Decomposition--Based Decomposition Techniques Applied to Parameter-Dependent Nonturbulent Flows
- A numerical model for the flooding and drying of irregular domains
- Finite Volume Methods for Hyperbolic Problems
- Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- A POD-based reduced-order model for uncertainty analyses in shallow water flows
- Low-order modelling of shallow water equations for sensitivity analysis using proper orthogonal decomposition
- On the Partial Difference Equations of Mathematical Physics
