Data-driven eigensolution analysis based on a spatio-temporal Koopman decomposition, with applications to high-order methods

DOI10.1016/j.jcp.2021.110798OpenAlexW3213863552MaRDI QIDQ2136484

Jiaqing Kou, Soledad Le Clainche, Esteban Ferrer

Publication date: 10 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110798

zbMATH Keywords

flux reconstructiondata-driven methodsdispersion-diffusion analysisKoopman analysisspectral/hp methodseigensolution analysis

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Related Items (5)

Eigensolution analysis of immersed boundary method based on volume penalization: applications to high-order schemes ⋮ Jump penalty stabilization techniques for under-resolved turbulence in discontinuous Galerkin schemes ⋮ Length-scales for efficient CFL conditions in high-order methods with distorted meshes: application to local-timestepping for \(p\)-multigrid ⋮ \texttt{HORSES3D}: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications ⋮ A combined volume penalization/selective frequency damping approach for immersed boundary methods applied to high-order schemes

Uses Software

• HODMD

Cites Work

• A new class of high-order energy stable flux reconstruction schemes
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• On the spectral properties of shock-capturing schemes
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• Spatio-temporal Koopman decomposition
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• Design of a Smagorinsky spectral vanishing viscosity turbulence model for discontinuous Galerkin methods
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• Fourier analysis and evaluation of DG, FD and compact difference methods for conservation laws
• Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/\(hp\) methods
• On the connections between discontinuous Galerkin and flux reconstruction schemes: extension to curvilinear meshes
• Dynamic mode decomposition of numerical and experimental data
• Dispersion-Dissipation Analysis for Advection Problems with Nonconstant Coefficients: Applications to Discontinuous Galerkin Formulations
• Connections between the discontinuous Galerkin method and high‐order flux reconstruction schemes
• A Combined-Mode Fourier Analysis of DG Methods for Linear Parabolic Problems
• Higher Order Dynamic Mode Decomposition

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