Work

An improved numerical scheme for coffee Extraction Yield evaluation

Year: 2024

Type: article

Abstract: This work proposes a polynomial-augmented radial basis function (RBF) collocation method with polyharmonic to solve the advection–diffusion–reaction (ADR) equations associated with the percolation process for espresso extraction. Numerical methods for solving these equations are useful for many applications where we have chemical reactions and transport in a porous medium. Polynomial augmentation in RBF collocation is useful when it is also necessary to approximate the derivatives, to overcome the stagnation error problem. Moreover, the polyharmonic RBF avoids the hassle of determining the shape parameter. The proposed meshless method allows for discretising the ADR equations and obtaining a numerical solution used to evaluate the efficiency of the extraction process in espresso coffee; this method can be easily generalised to higher dimensions or more complex domains. The numerical results have been compared to measurements carried out in the laboratory.

Source: Chaos Solitons & Fractals

DOI: 10.1016/j.chaos.2024.115625

Authors: Nadaniela Egidi, Josephin Giacomini, Elisabeth Larsson, Alessia Perticarini

Institutions: Università di Camerino, Uppsala University, University of Naples Federico II

Language: English

Topic: Numerical methods in engineering

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,500

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Faculty of Science and Engineering, University of Manchester, Gruppo Nazionale per il Calcolo Scientifico