On monolithic and Chorin–Temam schemes for incompressible flows in moving domains

Reidmen Aróstica; Cristóbal Bertoglio

doi:10.1016/j.aml.2020.106830

On monolithic and Chorin–Temam schemes for incompressible flows in moving domains

Reidmen Aróstica^*, Cristóbal Bertoglio^*

^*Corresponding author for this work

Computational and Numerical Mathematics

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Abstract

Several time discretization schemes for the incompressible Navier–Stokes equations (iNSE) in moving domains have been proposed. Here we introduce them in a unified fashion, allowing a common well posedness and time stability analysis. It can be therefore shown that only a particular choice of the numerical scheme ensures such properties. The analysis is performed for monolithic and Chorin–Temam schemes. Results are supported by numerical experiments.

Original language	English
Article number	106830
Number of pages	7
Journal	Applied Mathematics Letters
Volume	112
Early online date	15-Oct-2020
DOIs	https://doi.org/10.1016/j.aml.2020.106830
Publication status	Published - Feb-2021

Keywords

Incompressible flows
Moving domains
Monolithic coupling
Chorin–Temam
Stability analysis

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On monolithic and Chorin–Temam schemes for incompressible flows in moving domainsFinal publisher's version, 1.02 MBLicence: CC BY

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title = "On monolithic and Chorin–Temam schemes for incompressible flows in moving domains",

abstract = "Several time discretization schemes for the incompressible Navier–Stokes equations (iNSE) in moving domains have been proposed. Here we introduce them in a unified fashion, allowing a common well posedness and time stability analysis. It can be therefore shown that only a particular choice of the numerical scheme ensures such properties. The analysis is performed for monolithic and Chorin–Temam schemes. Results are supported by numerical experiments.",

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T1 - On monolithic and Chorin–Temam schemes for incompressible flows in moving domains

AU - Aróstica, Reidmen

AU - Bertoglio, Cristóbal

PY - 2021/2

Y1 - 2021/2

N2 - Several time discretization schemes for the incompressible Navier–Stokes equations (iNSE) in moving domains have been proposed. Here we introduce them in a unified fashion, allowing a common well posedness and time stability analysis. It can be therefore shown that only a particular choice of the numerical scheme ensures such properties. The analysis is performed for monolithic and Chorin–Temam schemes. Results are supported by numerical experiments.

AB - Several time discretization schemes for the incompressible Navier–Stokes equations (iNSE) in moving domains have been proposed. Here we introduce them in a unified fashion, allowing a common well posedness and time stability analysis. It can be therefore shown that only a particular choice of the numerical scheme ensures such properties. The analysis is performed for monolithic and Chorin–Temam schemes. Results are supported by numerical experiments.

KW - Incompressible flows

KW - Moving domains

KW - Monolithic coupling

KW - Chorin–Temam

KW - Stability analysis

U2 - 10.1016/j.aml.2020.106830

DO - 10.1016/j.aml.2020.106830

M3 - Article

SN - 0893-9659

VL - 112

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 106830

ER -

On monolithic and Chorin–Temam schemes for incompressible flows in moving domains

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Keywords

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