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A Method for Accurate Low-Dimensional Approximation of Luikov Equations
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Abstract
This paper focuses on the linear formulation of the Luikov system of partial differential equations representing heat and moisture transfer within capillary porous media. A method for accurate description of such phenomena using low-dimensional models has been proposed. It works in two steps: Luikov’s partial differential equations are first decoupled using a standard method, thus reduced to a very low number of ordinary differential equations using a powerful method based on singular valued decomposition techniques. Main asset of this two-step method is numerical efficiency. It is proven that the computational cost for low-dimensional models generation is strongly reduced compared to standard one-step reduction methods directly applied to the Luikov’s equations. A numerical example shows the appropriateness of our developments
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