Staggered Finite Volume Modeling of Transport Phenomena in Porous Materials with Convective Boundary Conditions |
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Authors: | F Meftah S Dal Pont |
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Institution: | 1.Laboratoire Modélisation et Simulation Multi Echelle,Université Paris-Est,Marne la Vallée Cedex 2,France;2.Laboratoire Central des Ponts et Chaussées, Division Bétons et Composites Cimentaires,Université Paris-Est,Paris Cedex 15,France |
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Abstract: | The aim of this article is to present a one-dimensional finite volume modeling of mass transport phenomena in partially saturated
open porous media. The finite volume model is based on a staggered solution strategy which permits to solve the equations
sequentially. This appropriate partitioning reduces thus the size of the system to be solved at each time step. Therefore,
two iterative algorithms are proposed to solve the discretized problem. Moreover, an original treatment of the convective
boundary condition, based on a suitable linearization to derive the algebraic form of this condition, is also presented. The
computational model is then specifically used for studying the drying process of a cementitious material. For this purpose,
the two proposed algorithms are compared in terms of computational efficiency. Thereafter, the convective boundary condition
is analyzed with regard to the drying kinetics. Finally, a one-dimensional drying experimental test is simulated. |
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