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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

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

Name of the periodical

Mathematical Modeling and Analysis

ISSN

1392-6292

e-ISSN

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Volume of the periodical

20

Issue of the periodical within the volume

2

Country of publishing house

LT - LITHUANIA

Number of pages

29

Pages from-to

232-260

UT code for WoS article

000351931100006

EID of the result in the Scopus database

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