Non-linear Particle Systems for Scalable Simulation of Deformable Models

In this paper we present a new method for simulating deformable models that interact with external forces of large scale. The proposed method comprises an intuitive approximation of non-linear dynamics based on a full cubic polynomial formulation of the inter-particle force. This formulation is a non-physical extension of the well known St Venant Kirchhoff force, but focuses more on practical considerations about the behavior and the control over the model. The proposed method can be employed by virtually any dynamic model that is based on particle systems, facilitating their simplicity and the respective performance benefits, while it also demonstrates resistance and robustness to high compression. In addition, the presented force model can be easily parameterized for different application scenarios due to its intuitive nature and its direct relation to spring models. We present experimental simulations that demonstrate the scalability and robustness of the proposed method, while retaining performance comparable to simple mass-spring systems.