An efficient numerical scheme for the simulation of parallel-plate active magnetic regenerators

• New finite differences scheme to solve the 1D conjugate heat transfer problem.
• Validation against thermal regenerator cases with an analytical solution.
• Comparison with the implicit scheme in terms of accuracy and computational time.
• The scheme prevents numerical errors and increases accuracy in energy conservation.
• The computational time is reduced by 89% in active magnetic regenerator simulation.

A one-dimensional model of a parallel-plate active magnetic regenerator (AMR) is presented in this work. The model is based on an efficient numerical scheme which has been developed after analysing the heat transfer mechanisms in the regenerator bed. The new finite difference scheme optimally combines explicit and implicit techniques in order to solve the one-dimensional conjugate heat transfer problem in an accurate and fast manner while ensuring energy conservation. The present model has been thoroughly validated against passive regenerator cases with an analytical solution. Compared to the fully implicit scheme, the proposed scheme achieves more accurate results, prevents numerical errors and requires less computational effort. In AMR simulations the new scheme can reduce the computational time by 89%.