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Mesh adaptive finite element formulation for moisture transfer in materials with a critical moisture content. (English) Zbl 0968.76046
Summary: Wetting or drying of most open porous building materials is characterized by a sharp moving water front. Due to the high moisture gradients at the waterfront, an accurate finite element simulation requires a very fine mesh. To reduce computational costs, we propose here a mesh adaptive method based on the arbitrary Lagrangian-Eulerian technique. To continuously relocate the nodes on the computational domain, a remesh-indicator is equally distributed. In problems of water imbibition or drying of open porous building materials, specific attention is paid to the zone of critical moisture content. To this extent the traditional jump-based indicator, quantifying the jump of a selected state variable, is modified into an area-based remesh-indicator. An error analysis of an academic example shows that the area-based indicator is superior to the jump-based one. To illustrate the capabilities of the remeshing method based on an area-based indicator, we present one- and two-dimensional examples of water imbibition of ceramic brick and drying of cellulose fibre cement.
Reviewer: Reviewer (Berlin)

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76T30 Three or more component flows
80A22 Stefan problems, phase changes, etc.
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