Explicit integration methods

First of all, note that the fundamental dynamic equation is applicable to each node. Each one has a position, a velocity and forces represented by vectors. For this presentation, we use Euler explicit integration. It consists in approximating the previous equation by a first order Taylor expansion. Note that the dynamic fundamental equation, which is a second order differential equation, was splitted into two first order differential equations.
This method is very simple to implement but very instable. For a stable system, we must choose a small time step and small spring constants.

To resume,
  • Strong points

    - low computational time

    - easy to implement

  • Weak points

    - small time step

    - small spring constant

    - over-elongation problem

All rights reseverd to Roque Marie, Parle Thomas, Reboul Alexandre, Tornieri Christophe