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Numerical Solution of the Kiessl Model

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Abstract

The Kiessl model of moisture and heat transfer in generally nonhomogeneous porous materials is analyzed. A weak formulation of the problem of propagation of the state parameters of this model, which are so-called moisture potential and temperature, is derived. An application of the method of discretization in time leads to a system of boundary-value problems for coupled pairs of nonlinear second order ODE's. Some existence and regularity results for these problems are proved and an efficient numerical approach based on a certain special linearization scheme and the Petrov-Galerkin method is suggested.

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Authors and Affiliations

  1. Ústav matematiky a deskriptiní geometrie Fakulty stavební, VUT, Žižkova 17, 602 00, Brno

    Josef Dalík, Josef Daněčcek & Jiří Vala

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  1. Josef Dalík
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  2. Josef Daněčcek
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  3. Jiří Vala
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Dalík, J., Daněčcek, J. & Vala, J. Numerical Solution of the Kiessl Model. Applications of Mathematics 45, 3–17 (2000). https://doi.org/10.1023/A:1022232632054

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