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- W2523768732 abstract "While serving different purposes, numerical simulations of moisture and heat transferin soils and in building components are very similar in methodology: in both cases,spatially and temporally discretised equations for transfer of moisture and heat inporous materials are solved subject to (atmospheric) boundary conditions. Thestrongly non-linear transfer equations and boundary conditions however render suchhygrothermal simulations computationally very expensive, and an efficient numericalsolution algorithm is required. Such increasingly efficient numerical solutionschemes allow for more, larger, longer or more precise simulations, widening theapplication capabilities of hygrothermal simulations.The computational cost of hygrothermal simulations revolves around the serialiterative com-position and decomposition of the coefficient matrix of the system ofalgebraic equations de-scribing the discretised moisture and heat transfer, and isthus determined by the cost of one (de)composition, and the number of required(de)compositions. This article presents two op-timisation measures for simulationsof moisture and heat transfer in building components un-der atmospherical excitation:adaptive integration and variations on the Newton-Raphson iterative scheme. Adaptiveintegration targets the cost of one (de)composition, while the varia-tions onNewton-Raphson aims at the number of required (de)compositions. While exempli-fiedby building physical simulations, the presented optimisation measures are equallyvalid for simulations of moisture and heat transfer in soils.It will be demonstrated that the common preference for low-order numericalintegration of the finite element matrices has an adverse effect on the requiredspatial discretisation: a fine dis-cretisation throughout is needed for accuratesimulation of the moving moisture fronts typical of infiltration problems. Adaptiveintegration allows to merge low-order numerical integration with rougher spatialdiscretisations, reducing the number of required integration points and ofdiscretisation nodes.A second section of the article investigates the efficiency of (variations on) theNewton-Raphson scheme. It will be demonstrated that appropriate application ofNewton-Raphson on the boundary conditions, of modified iteration and of separateconvergence criteria can drastically diminish the number of required (de)compositions." @default.
- W2523768732 created "2016-10-07" @default.
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- W2523768732 date "2006-06-18" @default.
- W2523768732 modified "2023-09-23" @default.
- W2523768732 title "Adaptive integration of element matrices in finite element moisture transfer simulations" @default.
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- W2523768732 doi "https://doi.org/10.4122/1.1000000750" @default.
- W2523768732 hasPublicationYear "2006" @default.
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