Earlier in this chapter, we discussed how and why Euler Integration becomes less stable over time. We provided a better way to integrate position, Velocity Verlet Integration. While better than Euler Integration, the new method provided can become unstable too. In this section, we will discuss in detail implementing a more stable integration method: Verlet Integration.
In order to move particles using Verlet Integration, we need to re-implement both the Update and SolveConstraints methods of the Particle class. We need to re-implement these functions in a way that finds the velocity of a particle using the previous and current positions of the particle.
Follow these steps to replace the Euler Integration of the Particle class with Verlet Integration:
Remove the
velocityvariable from the definition of theParticleclass inParticle.h.Re-implement the
Updatemethod of theParticleclass inParticle.cpp. This new implementation will perform Verlet...
