Numerical Solution of the Time-Dependent Navier?Stokes Equation for Variable Density?Variable Viscosity. Part I

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F15%3A00455980" target="_blank" >RIV/68145535:_____/15:00455980 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.tandfonline.com/doi/abs/10.3846/13926292.2015.1021395" target="_blank" >http://www.tandfonline.com/doi/abs/10.3846/13926292.2015.1021395</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3846/13926292.2015.1021395" target="_blank" >10.3846/13926292.2015.1021395</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical Solution of the Time-Dependent Navier?Stokes Equation for Variable Density?Variable Viscosity. Part I

Popis výsledku v původním jazyce

We consider methods for the numerical simulations of variable density incompressible fluids, modelled by the Navier-Stokes equations. Variable density problems arise, for instance, in interfaces between fluids of different densities in multiphase flows such as appearing in porous media problems. We show that by solving the Navier-Stokes equation for the momentum variable instead of the velocity the corresponding saddle point problem, arising at each time step, no special treatment of the pressure variable is required and leads to an efficient preconditioning of the arising block matrix. This study consists of two parts, of which this paper constitutes Part I. Here we present the algorithm, compare it with a broadly used projectiontype method and illustrate some advantages and disadvantages of both techniques via analysis and numerical experiments. In addition we also include test results for a method, based on coupling of the Navier-Stokes equations with a phase-field model, where the

Název v anglickém jazyce

Numerical Solution of the Time-Dependent Navier?Stokes Equation for Variable Density?Variable Viscosity. Part I

Popis výsledku anglicky

We consider methods for the numerical simulations of variable density incompressible fluids, modelled by the Navier-Stokes equations. Variable density problems arise, for instance, in interfaces between fluids of different densities in multiphase flows such as appearing in porous media problems. We show that by solving the Navier-Stokes equation for the momentum variable instead of the velocity the corresponding saddle point problem, arising at each time step, no special treatment of the pressure variable is required and leads to an efficient preconditioning of the arising block matrix. This study consists of two parts, of which this paper constitutes Part I. Here we present the algorithm, compare it with a broadly used projectiontype method and illustrate some advantages and disadvantages of both techniques via analysis and numerical experiments. In addition we also include test results for a method, based on coupling of the Navier-Stokes equations with a phase-field model, where the

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematical Modeling and Analysis

ISSN

1392-6292

e-ISSN

—

Svazek periodika

20

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

LT - Litevská republika

Počet stran výsledku

29

Strana od-do

232-260

Kód UT WoS článku

000351931100006

EID výsledku v databázi Scopus

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