Comparison of finite difference and finite volume simulations for a Sc-drying mass transport model

Different numerical solutions of a previously developed mass transport model for supercritical drying of aerogel particles in a packed bed [Part 1: Selmer et al. 2018, Part 2: Selmer et al. 2019] are compared. Two finite difference discretizations and a finite volume method were used. The finite volume method showed a higher overall accuracy, in the form of lower overall Euclidean norm (l2 ) and maximum norm (l∞ ) errors, as well as lower mole balance errors compared to the finite difference methods. Additionally, the finite volume method was more efficient when the condition numbers of the linear systems to be solved were considered. In case of fine grids, the computation time of the finite difference methods was slightly faster but for 16 or fewer nodes the finite volume method was superior. Overall, the finite volume method is preferable for the numerical solution of the described drying model for aerogel particles in a packed bed.

Subjects

aerogel particles

supercritical drying

finite difference method

finite volume method

mass transport simulation

advection-diffusion equation

DDC Class

530: Physik

More Funding Information

Bundesministerium für Wirtschaft und Energie

Arbeitsgemeinschaft industrieller Forschungsvereinigungen Otto von Guericke e.V.

Industrial Collective Research (IGF)

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publishedVersion

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https://creativecommons.org/licenses/by/4.0/

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gels-06-00045.pdf

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971.93 KB

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Comparison of finite difference and finite volume simulations for a Sc-drying mass transport model