On coupled heat transport and water flow in partially frozen variably saturated porous media

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F15%3A00226026" target="_blank" >RIV/68407700:21110/15:00226026 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0307904X15000840" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0307904X15000840</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.apm.2015.02.011" target="_blank" >10.1016/j.apm.2015.02.011</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On coupled heat transport and water flow in partially frozen variably saturated porous media

Popis výsledku v původním jazyce

We propose and analyze a model of coupled heat transport and water flow in variably saturated porous media under conditions of freezing and thawing. Solution of the model provides temperature, liquid water content and ice content in porous media as a function of space and time. We employ the Rothe method to construct systems of approximate solutions for which the existence and regularity are proved. Numerical scheme is based on specific semi-implicit discretization in time, which preserve the pseudo-monotone structure of the discrete problem. Numerical results are compared with experimental data reported in the literature. The model satisfactorily predicts characteristic phenomena in porous media under frost actions such as water movement toward freezing fronts and the presence of liquid water in frozen regions.

Název v anglickém jazyce

On coupled heat transport and water flow in partially frozen variably saturated porous media

Popis výsledku anglicky

We propose and analyze a model of coupled heat transport and water flow in variably saturated porous media under conditions of freezing and thawing. Solution of the model provides temperature, liquid water content and ice content in porous media as a function of space and time. We employ the Rothe method to construct systems of approximate solutions for which the existence and regularity are proved. Numerical scheme is based on specific semi-implicit discretization in time, which preserve the pseudo-monotone structure of the discrete problem. Numerical results are compared with experimental data reported in the literature. The model satisfactorily predicts characteristic phenomena in porous media under frost actions such as water movement toward freezing fronts and the presence of liquid water in frozen regions.

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA13-18652S" target="_blank" >GA13-18652S: Numerické modelování poškození a transportních procesů v kvazikřehkých materiálech</a><br>

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Applied Mathematical Modelling

ISSN

0307-904X

e-ISSN

—

Svazek periodika

39

Číslo periodika v rámci svazku

21

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

19

Strana od-do

6580-6598

Kód UT WoS článku

000365381100013

EID výsledku v databázi Scopus

2-s2.0-84925003200