A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem
DOI10.1016/j.physd.2023.133658OpenAlexW4320341293MaRDI QIDQ2688076
Publication date: 9 March 2023
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2023.133658
proper orthogonal decompositiongeophysical flowsspectral methodsreduced-order modelsRayleigh Bénard instability
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Eigenvalues, singular values, and eigenvectors (15A18) Free convection (76R10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) PDEs in connection with classical thermodynamics and heat transfer (35Q79) PDEs in connection with geophysics (35Q86)
Uses Software
Cites Work
- On the use of POD-based ROMs to analyze bifurcations in some dissipative systems
- Calibrated reduced-order POD-Galerkin system for fluid flow modelling
- Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- Bifurcation phenomena in a convection problem with temperature dependent viscosity at low aspect ratio
- Reduced basis method for multi-parameter-dependent steady Navier-Stokes equations: applications to natural convection in a cavity
- Symmetries and pattern selection in Rayleigh-Bénard convection
- Inertial manifolds for nonlinear evolutionary equations
- Localization and approximation of attractors for the Ginzburg-Landau equation
- Spectral approximation for elliptic boundary value problems
- A flexible symmetry-preserving Galerkin/POD reduced order model applied to a convective instability problem
- Comparison of computational codes for direct numerical simulations of turbulent Rayleigh-Bénard convection
- Thermocapillary and thermogravitational waves in a convection problem
- Stability and accuracy of periodic flow solutions obtained by a POD-penalty method
- Equation-free/Galerkin-free POD-assisted computation of incompressible flows
- Bifurcation computations on an approximate inertial manifold for the 2D Navier-Stokes equations
- Computing inertial manifolds
- Routes to chaos from axisymmetric vertical vortices in a rotating cylinder
- RB (reduced basis) for RB (Rayleigh-Bénard)
- An efficient computational framework for reduced basis approximation anda posteriorierror estimation of parametrized Navier–Stokes flows
- Local POD Plus Galerkin Projection in the Unsteady Lid-Driven Cavity Problem
- Low-dimensional modelling of a transient cylinder wake using double proper orthogonal decomposition
- Numerical investigation of 2D convection with extremely large viscosity variations
- L<scp>OW</scp>-D<scp>IMENSIONAL</scp> M<scp>ODELING AND</scp> N<scp>UMERICAL</scp> S<scp>IMULATION OF</scp> T<scp>RANSITION IN</scp> S<scp>IMPLE</scp> S<scp>HEAR</scp> F<scp>LOWS</scp>
- Reduced Basis Method Applied to Eigenvalue Problems from Convection
- Model Order Reduction in Fluid Dynamics: Challenges and Perspectives
- Reduced Basis Methods for Partial Differential Equations
- Performance of parallel-in-time integration for Rayleigh Bénard convection
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