Mathematics, Vol. 11, Pages 1342: Defect Analysis of a Non-Iterative Co-Simulation

Mathematics, Vol. 11, Pages 1342: Defect Analysis of a Non-Iterative Co-Simulation

Mathematics doi: 10.3390/math11061342

Authors: Slaven Glumac Zdenko Kovačić

This article presents an analysis of co-simulation defects for a system of coupled ordinary differential equations. The research builds on the theorem that the co-simulation error is bounded if the co-simulation defect is bounded. The co-simulation defect can be divided into integration, output, and connection defects, all of which can be controlled. This article proves that the output and connection defect can be controlled by the co-simulation master by varying the communication step size. A non-iterative co-simulation method with variable communication step size is presented to demonstrate the applicability of the presented research. The orders of the interpolation polynomials used in the co-simulation method are varied in the experimental analysis. The experimental analysis shows how each component of a co-simulation defect affects the co-simulation error. The analysis presented is used to verify the applicability of the proposed approach and to provide guidelines for the configuration of the co-simulation.