Finite Volume Modeling of Transient Isothermal Hygroscopic Moisture Transport During Solid Wood Processing for Residential Construction

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Abstract

Accurate hygrothermal characterization and robust numerical modeling are critical for optimizing timber drying processes and evaluating building envelope performance. This work presents a 1D transient numerical model based on the finite volume method (FVM) and a representative elementary volume (REV) formulation to simulate moisture transport during solid wood drying. The governing nonlinear partial differential equations—incorporating moisture content-dependent diffusivity, liquid suction pressure, and vapor diffusion—were discretized using a fully implicit scheme. The solver was validated against consensus numerical solutions from six international institutions in the HAMSTAD Benchmark No. 2 protocol and further verified against published experimental kinetics. Quantitative error analysis yielded low mean absolute errors (MAE

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