Explicit but Stable Spring-Damper Model with Harmonic Oscillation

The mass-spring model is the most commonly used model for the animation of cloth and the physical simulation of various deformable objects. Although the method is simple, this model has, however, serious problems. The spring model tends to be numerically unstable. In other words, when you try to simulate a spring that does not stretch well, you will have to use very small time steps or to solve very large linear systems generated by implicit integration. In this paper, we propose a new simulation model that improves numerical stability and physical reality in order to perform large scale mass-spring model. The method can be easily parallelized. We implemented the method in CUDA environments which can be used on general personal computer. The proposed method is based on a harmonic oscillation model.