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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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

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

BJ - Thermodynamics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

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

Publication year

2015

Confidentiality

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

Name of the periodical

Applied Mathematical Modelling

ISSN

0307-904X

e-ISSN

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Volume of the periodical

39

Issue of the periodical within the volume

5-6

Country of publishing house

US - UNITED STATES

Number of pages

9

Pages from-to

1740-1748

UT code for WoS article

000352045200024

EID of the result in the Scopus database

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