Error Analysis of Supremizer Pressure Recovery for POD based Reduced-Order Models of the Time-Dependent Navier--Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/19m128702x ◽

2020 ◽

Vol 58 (4) ◽

pp. 2235-2264 ◽

Author(s):

Kiera Kean ◽

Michael Schneier

Keyword(s):

Error Analysis ◽

Stokes Equations ◽

Time Dependent ◽

Pressure Recovery ◽

Navier Stokes ◽

Reduced Order Models ◽

Navier Stokes Equations ◽

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Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape

Advances in Computational Mathematics ◽

10.1007/s10444-019-09722-9 ◽

2019 ◽

Vol 45 (5-6) ◽

pp. 2463-2501 ◽

Author(s):

Niccolò Dal Santo ◽

Andrea Manzoni

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Reduced Order Models ◽

Navier Stokes Equations ◽

Reduced Order ◽

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Construction of reduced order models for the non-linear Navier-Stokes equations using the proper orthogonal fecomposition (POD)/Galerkin method.

10.2172/1096504 ◽

2013 ◽

Author(s):

Jeffrey Fike

Keyword(s):

Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Reduced Order Models ◽

Navier Stokes Equations ◽

Reduced Order ◽

Proper Orthogonal

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Robust error analysis of H(div)-conforming DG method for the time-dependent incompressible Navier–Stokes equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113365 ◽

2021 ◽

pp. 113365

Author(s):

Yongbin Han ◽

Yanren Hou

Keyword(s):

Error Analysis ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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Multi-domain simulations of the time-dependent Navier-Stokes equations: Benchmark error analysis of some nesting procedures

Journal of Computational Physics ◽

10.1016/0021-9991(90)90132-k ◽

1990 ◽

Vol 89 (1) ◽

pp. 252-253

Author(s):

Terry L Clark ◽

William D Hall

Keyword(s):

Error Analysis ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations

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Multi-domain simulations of the time dependent navier-stokes equations: Benchmark error analysis of some nesting procedures

Journal of Computational Physics ◽

10.1016/0021-9991(91)90218-a ◽

1991 ◽

Vol 92 (2) ◽

pp. 456-481 ◽

Author(s):

Terry L Clark ◽

William D Hall

Keyword(s):

Error Analysis ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations

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Error analysis of a fully discrete finite element variational multiscale method for time-dependent incompressible Navier-Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21787 ◽

2013 ◽

Vol 29 (6) ◽

pp. 2025-2046 ◽

Author(s):

Yueqiang Shang

Keyword(s):

Finite Element ◽

Error Analysis ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Variational Multiscale Method ◽

Navier Stokes Equations ◽

Variational Multiscale ◽

Fully Discrete ◽

Discrete Finite Element

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Reduced order models for the incompressible Navier‐Stokes equations on collocated grids using a ‘discretize‐then‐project’ approach

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4994 ◽

2021 ◽

Author(s):

S. Kelbij Star ◽

Benjamin Sanderse ◽

Giovanni Stabile ◽

Gianluigi Rozza ◽

Joris Degroote

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Reduced Order Models ◽

Navier Stokes Equations ◽

Project Approach ◽

Reduced Order ◽

Collocated Grids

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Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2016.05.037 ◽

2016 ◽

Vol 321 ◽

pp. 224-241 ◽

Author(s):

Maciej Balajewicz ◽

Irina Tezaur ◽

Earl Dowell

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Stiefel Manifold ◽

Reduced Order Models ◽

Navier Stokes Equations ◽

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A domain decomposition strategy for reduced order models. Application to the incompressible Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2013.08.001 ◽

2013 ◽

Vol 267 ◽

pp. 23-42 ◽

Author(s):

Joan Baiges ◽

Ramon Codina ◽

Sergio Idelsohn

Keyword(s):

Domain Decomposition ◽

Stokes Equations ◽

Navier Stokes ◽

Reduced Order Models ◽

Navier Stokes Equations ◽

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An Evolve-Filter-Relax Stabilized Reduced Order Stochastic Collocation Method for the Time-Dependent Navier--Stokes Equations

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/18m1221618 ◽

2019 ◽

Vol 7 (4) ◽

pp. 1162-1184 ◽

Author(s):

M. Gunzburger ◽

T. Iliescu ◽

M. Mohebujjaman ◽

M. Schneier

Keyword(s):

Collocation Method ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Stochastic Collocation ◽

Navier Stokes Equations ◽

Reduced Order ◽

Stochastic Collocation Method

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