Stability and Error Analysis of Applied-Force Co-simulation Methods Using Mixed One-Step Integration Schemes

摘要

Co-simulation schemes are designed to couple subsystems during the integration process. Therefore, any complex or multi-physics system can be split into subsystems in its mathematical representation, and re-coupled using a co-simulation scheme. Dealing separately with each subsystem, its own characteristics and specifically its own solver is the purpose of this decoupling/re-coupling mechanism. Before making a choice between all the existing solver-coupling schemes for a complex mechanical system, it is interesting to know which one is the most efficient. Therefore, this paper studies the performance of the Jacobi and GauB-Seidel methods using one-step integration schemes applied on a double harmonic oscillator. However, since most of the mechanical joints generate elastic forces, the study concerns applied-force schemes only.