On space–time ratio in the soybean mass aeration problem using a manufactured solution with realistic parameters

• Published in: Computers and electronics in agriculture Vol. 214; p. 108300
• Main Authors: Rigoni, Daniel, Pinto, Marcio A.V., Kwiatkowski Jr, Jotair E.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-11-2023
• Subjects: Finite Difference Method; Grain Storage; Postharvest; Space-time ratio; Thorpe; Postharvest; Thorpe; Grain Storage; Space-time ratio; Finite Difference Method
• ISSN: 0168-1699; 1872-7107
• DOI: 10.1016/j.compag.2023.108300

•Manufactured analytical solution proposed for soybean aeration with various parameters.•Numerical resolution of the Leith and CDS-Crank-Nicolson methods was compared.•Space-time ratio studied in the aeration process in two realistic settings.•An error analysis of the numerical model was performed.
The purpose of this paper is to introduce a new manufactured analytical solution to the mathematical model that describes the behavior of the grain mass aeration process, proposed by Thorpe, using the method of manufactured solutions. The finite difference method, utilizing the CDS-Crank-Nicolson and Leith’s methods, was employed. An error analysis of the approximations used was performed to verify the effective and apparent orders of the discretization error obtained with mesh refinement. Furthermore, a study on the space–time ratio in the numerical methods was carried out in two realistic settings of soybeans aeration process. It was observed that Leith's method outperformed the CDS-Crank-Nicolson method. Therefore, Leith's method is recommended by this paper to numerically solve the grain mass aeration model proposed by Thorpe, given its robustness with respect to the space–time ratio in both settings studied.