Removing Splitting/Modeling Error in Projection/Penalty Methods for Navier-Stokes Simulations with Continuous Data Assimilation (Q6122960)

scientific article; zbMATH DE number 7812204

Language	Label	Description	Also known as
English	Removing Splitting/Modeling Error in Projection/Penalty Methods for Navier-Stokes Simulations with Continuous Data Assimilation	scientific article; zbMATH DE number 7812204

Statements

instance of

scholarly article

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title

Removing Splitting/Modeling Error in Projection/Penalty Methods for Navier-Stokes Simulations with Continuous Data Assimilation (English)

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Communications in Mathematical Research

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publication date

4 March 2024

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full work available at URL

https://arxiv.org/abs/2302.05962

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zbMATH Keywords

Navier-Stokes equations

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projection method

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penalty method

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continuous data assimilation

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MaRDI profile type

MaRDI publication profile

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cites work

Continuous data assimilation using general interpolant observables

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An Augmented Lagrangian‐Based Approach to the Oseen Problem

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Continuous data assimilation with stochastically noisy data

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Data Assimilation for the Navier--Stokes Equations Using Local Observables

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Mesh-Free Interpolant Observables for Continuous Data Assimilation

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Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations

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Accurate projection methods for the incompressible Navier-Stokes equations

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Continuous data assimilation for the 3D Ladyzhenskaya model: analysis and computations

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Parameter Recovery for the 2 Dimensional Navier--Stokes Equations via Continuous Data Assimilation

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Dynamically learning the parameters of a chaotic system using partial observations

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Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation

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Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements

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Continuous data assimilation and long-time accuracy in a \(C^0\) interior penalty method for the Cahn-Hilliard equation

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Finite Elements and Fast Iterative Solvers

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Continuous data assimilation for the 2D Bénard convection through velocity measurements alone

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On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model

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A Data Assimilation Algorithm: the Paradigm of the 3D Leray-α Model of Turbulence

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A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations

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Gevrey class regularity for the solutions of the Navier-Stokes equations

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The bleeps, the sweeps, and the creeps: convergence rates for dynamic observer patterns via data assimilation for the 2D Navier-Stokes equations

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Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations

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Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier--Stokes Equations

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Finite Element Methods for Navier-Stokes Equations

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High-Order Time Stepping for the Incompressible Navier--Stokes Equations

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Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains

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An overview of projection methods for incompressible flows

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Efficient augmented Lagrangian‐type preconditioning for the Oseen problem using Grad‐Div stabilization

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Algebraic splitting for incompressible Navier-Stokes equations

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Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates

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Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations

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Data Assimilation

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Q3527991

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A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations

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Convergence analysis of a viscosity parameter recovery algorithm for the 2D Navier–Stokes equations

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Application of barycenter refined meshes in linear elasticity and incompressible fluid dynamics

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Iterative Methods for Linear Systems

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Concurrent MultiParameter Learning Demonstrated on the Kuramoto--Sivashinsky Equation

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Q4343204

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Improved Accuracy in Algebraic Splitting Methods for Navier--Stokes Equations

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Pressure Correction Algebraic Splitting Methods for the Incompressible Navier--Stokes Equations

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Q4338821

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On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes

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On error estimates of some higher order penalty-projection methods for Navier-Stokes equations

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On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations

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Une méthode d'approximation de la solution des équations de Navier-Stokes

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Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II

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Turbulent flow around a square cylinder at Reynolds number 22,000: a DNS study

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Identifiers

arXiv ID

2302.05962

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DOI

10.4208/cmr.2023-0008

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6122960