GPGPU Programming for Games and Science

Sample Applications 401

The fluid is confined to a bounded region of space R that has boundary

B. The initial conditions for velocity and density must be specified within the

region,

u(x, 0) = u

0

(x),ρ(x, 0) = ρ

0

(x), x ∈ R (7.53)

for user-defined functions u

0

and ρ

0

.

The boundary conditions must be specified also for all time. For simplic-

ity, the density is required to be zero on the boundary and the velocity is

required to have zero component in the normal direction to the boundary.

These conditions are based on the requirement of confinement. No mass is

at the boundary of the region (density is zero) and no mass may escape the

region due to motion (velocit ...