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Simulating fluid motion entails converting continuous equations into simpler discrete equations and using numerical techniques to solve the discretized equations. Spatial discretizations include grid-based and mesh-free methods. Simulations employ techniques for interpolating values between nodes, approximating spatial derivatives and evolving the simulation forward in time, meanwhile satisfying boundary conditions. Fluid simulations also provide the means to provide forces acting on bodies embedded in the fluid, which a separate rigid body simulator can apply.