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Intro; Organizing Committee; Members; Scientific Committee; Members; IUTAM Representative on Scientific Committee; Preface; Contents; 1 Relaxing Stiff System Integration by Smoothing Techniques for Non-iterative Co-simulation; 1.1 Introduction to Co-simulation; 1.2 Challenges in Non-iterative Co-simulation; 1.2.1 Sampling of the Coupling Signal; 1.2.2 Co-simulation Discretization Error; 1.2.3 Discontinuities at Coupling Time Instances; 1.3 Addressing Co-simulation Challenges; 1.3.1 Handling Co-simulation Discretization Errors; 1.3.2 Handling Aliasing Effects; 1.3.3 Handling Discontinuities
1.4 Theoretical Example: Lumped Propeller Shaft1.4.1 Lumped Propeller Shaft; 1.4.2 Lumped Propeller Shaft with Clutch; 1.4.3 Evaluation Results; 1.5 Industrial Example: Electric Machine FOC; 1.5.1 The Model; 1.5.2 Evaluation Results; 1.6 Conclusion; References; 2 TLM-Based Asynchronous Co-simulation with the Functional Mockup Interface; 2.1 Introduction; 2.1.1 Problem Description; 2.1.2 Related Work; 2.2 Numerical Solutions; 2.2.1 Constant Extrapolation; 2.2.2 Coarse-Grained Interpolation; 2.2.3 Fine-Grained Interpolation Inside the FMU; 2.2.4 One-Step Functions; 2.3 Numerical Experiments
2.3.1 1D Three-mass System2.3.2 2D Double Pendulum; 2.3.3 2D Single Pendulum; 2.3.4 Thermodynamic Connection; 2.4 Conclusions; References; 3 Local Extrapolation and Linear-Implicit Stabilization in a Parallel Coupling Scheme; 3.1 Introduction; 3.2 Prediction Strategies; 3.2.1 Local Extrapolation; 3.2.2 Linear-Implicit Stabilization; 3.3 Numerical Study; 3.3.1 Global and Local Extrapolation; 3.3.2 Linear-Implicit Stabilization with Implicit Euler-Step; 3.4 Conclusion; References; 4 Performance Improvement of Explicit Co-simulation Methods Through Continuous Extrapolation; 4.1 Introduction
4.2 Linear Test Model and System Decomposition4.3 Approximation Methods for Co-simulation; 4.3.1 Classical Discontinuous Approach; 4.3.2 Original C0-Continuous EXTRIPOL Approach; 4.3.3 C1 and C2-Continuous EXTRIPOL Approach; 4.3.4 Enhanced C0-Continuous EXTRIPOL Approach; 4.3.5 Approximation Error of the Methods; 4.4 Numerical Stability of the Co-simulation; 4.5 Global Error and Performance of the Co-simulation; 4.6 Conclusion; References; 5 Stable Adaptive Co-simulation: A Switched Systems Approach; 5.1 Introduction; 5.2 Motivational Example; 5.3 Background; 5.3.1 Co-simulation
5.3.2 (Numerical) Stability5.3.3 Joint Spectral Radius; 5.4 Stability Certification of Adaptive Co-simulations; 5.4.1 Stability; 5.4.2 Stabilization; 5.4.3 Conservativeness; 5.4.4 Implementation; 5.5 Related Work; 5.6 Conclusion; References; 6 The SNiMoWrapper: An FMI-Compatible Testbed for Numerical Algorithms in Co-simulation; 6.1 Introduction; 6.2 Approach; 6.3 Co-simulation Algorithm; 6.3.1 Prerequisites; 6.3.2 Capabilities of the Slave System; 6.3.3 The Algorithm; 6.3.4 Initialization; 6.4 Implementation; 6.5 Accuracy; 6.6 Applications; 6.6.1 Academic Example
1.4 Theoretical Example: Lumped Propeller Shaft1.4.1 Lumped Propeller Shaft; 1.4.2 Lumped Propeller Shaft with Clutch; 1.4.3 Evaluation Results; 1.5 Industrial Example: Electric Machine FOC; 1.5.1 The Model; 1.5.2 Evaluation Results; 1.6 Conclusion; References; 2 TLM-Based Asynchronous Co-simulation with the Functional Mockup Interface; 2.1 Introduction; 2.1.1 Problem Description; 2.1.2 Related Work; 2.2 Numerical Solutions; 2.2.1 Constant Extrapolation; 2.2.2 Coarse-Grained Interpolation; 2.2.3 Fine-Grained Interpolation Inside the FMU; 2.2.4 One-Step Functions; 2.3 Numerical Experiments
2.3.1 1D Three-mass System2.3.2 2D Double Pendulum; 2.3.3 2D Single Pendulum; 2.3.4 Thermodynamic Connection; 2.4 Conclusions; References; 3 Local Extrapolation and Linear-Implicit Stabilization in a Parallel Coupling Scheme; 3.1 Introduction; 3.2 Prediction Strategies; 3.2.1 Local Extrapolation; 3.2.2 Linear-Implicit Stabilization; 3.3 Numerical Study; 3.3.1 Global and Local Extrapolation; 3.3.2 Linear-Implicit Stabilization with Implicit Euler-Step; 3.4 Conclusion; References; 4 Performance Improvement of Explicit Co-simulation Methods Through Continuous Extrapolation; 4.1 Introduction
4.2 Linear Test Model and System Decomposition4.3 Approximation Methods for Co-simulation; 4.3.1 Classical Discontinuous Approach; 4.3.2 Original C0-Continuous EXTRIPOL Approach; 4.3.3 C1 and C2-Continuous EXTRIPOL Approach; 4.3.4 Enhanced C0-Continuous EXTRIPOL Approach; 4.3.5 Approximation Error of the Methods; 4.4 Numerical Stability of the Co-simulation; 4.5 Global Error and Performance of the Co-simulation; 4.6 Conclusion; References; 5 Stable Adaptive Co-simulation: A Switched Systems Approach; 5.1 Introduction; 5.2 Motivational Example; 5.3 Background; 5.3.1 Co-simulation
5.3.2 (Numerical) Stability5.3.3 Joint Spectral Radius; 5.4 Stability Certification of Adaptive Co-simulations; 5.4.1 Stability; 5.4.2 Stabilization; 5.4.3 Conservativeness; 5.4.4 Implementation; 5.5 Related Work; 5.6 Conclusion; References; 6 The SNiMoWrapper: An FMI-Compatible Testbed for Numerical Algorithms in Co-simulation; 6.1 Introduction; 6.2 Approach; 6.3 Co-simulation Algorithm; 6.3.1 Prerequisites; 6.3.2 Capabilities of the Slave System; 6.3.3 The Algorithm; 6.3.4 Initialization; 6.4 Implementation; 6.5 Accuracy; 6.6 Applications; 6.6.1 Academic Example