Spectral stochastic modeling of uncertainties in nonlinear diffusion problems of moisture transfer in wood

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62156489%3A43410%2F15%3A43906643" target="_blank" >RIV/62156489:43410/15:43906643 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0307904X14004673" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0307904X14004673</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.apm.2014.09.032" target="_blank" >10.1016/j.apm.2014.09.032</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Spectral stochastic modeling of uncertainties in nonlinear diffusion problems of moisture transfer in wood

Popis výsledku v původním jazyce

This paper deals with the stochastic numerical analysis of moisture transfer in wood with the random diffusion coefficient after heating of wood (when temperature is already constant). The simulation is based on the unsteady-state nonlinear (the model respects the dependence of diffusion coefficients on moisture and constant temperature) diffusion of moisture with respect to the orthotropic nature of wood. The spectral solution of this problem is based on discretization the resulting random field (moisture) in the stochastic dimension by the orthogonal polynomials (generalized polynomial chaos algorithm). A Galerkin projection is applied in the stochastic dimension to obtain the deterministic set of partial differential equations that is solved by finite element method. The main purpose of this paper is to demonstrate that the stochastic spectral method based on polynomial chaos expansion can be more efficient in modeling uncertainties associated with moisture transfer in wood than Mon

Název v anglickém jazyce

Spectral stochastic modeling of uncertainties in nonlinear diffusion problems of moisture transfer in wood

Popis výsledku anglicky

This paper deals with the stochastic numerical analysis of moisture transfer in wood with the random diffusion coefficient after heating of wood (when temperature is already constant). The simulation is based on the unsteady-state nonlinear (the model respects the dependence of diffusion coefficients on moisture and constant temperature) diffusion of moisture with respect to the orthotropic nature of wood. The spectral solution of this problem is based on discretization the resulting random field (moisture) in the stochastic dimension by the orthogonal polynomials (generalized polynomial chaos algorithm). A Galerkin projection is applied in the stochastic dimension to obtain the deterministic set of partial differential equations that is solved by finite element method. The main purpose of this paper is to demonstrate that the stochastic spectral method based on polynomial chaos expansion can be more efficient in modeling uncertainties associated with moisture transfer in wood than Mon

Druh

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

CEP obor

BJ - Termodynamika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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Svazek periodika

39

Číslo periodika v rámci svazku

5-6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

1740-1748

Kód UT WoS článku

000352045200024

EID výsledku v databázi Scopus

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