Derivation of a fourth-order Co-simulation method for linear systems

Results in Engineering, vol. 16, pp. 100748

Abstract

In this article, we present a detailed derivation of a fourth order co-simulation method. This method is implicit and based on Hermite extrapolation with two support points and their derivatives. The convergence order of the local and global errors is analyzed and tested on two linear systems from the mechanical and the electrical fields. Both systems are decomposed into two subsystems to perform co-simulation. We compare the fourth-order method with lower-order methods, confirming the expected convergence of the local error and showing that the global error of the derived method corresponds to O(H4).

Authors 3

1. Andrés Acosta corresponding

   Universidad Nacional de Colombia

   Affiliation as printed

   Universidad Nacional de Colombia, Cra. 80 No. 65-223, 050041, Medellín, Colombia

2. Jairo Jose Espinosa

   Universidad Nacional de Colombia

   Affiliation as printed

   Universidad Nacional de Colombia, Cra. 80 No. 65-223, 050041, Medellín, Colombia

3. Antonello Monti Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen, Mathieustraße 10, 52074, Aachen, Germany