Lecture 2 – Threads - many-core.group

2D heat conduction
• In 2D:
∂T
∂t = α ⎛ ∂ 2 T
∂x + ∂ 2 T ⎞
⎜ ⎟
⎝
2 ∂y 2
⎠
• For which a possible finite difference approximation is:
ΔT
€ Δt = α ⎡ T i+1, j
− 2T i, j
+ T i−1, j
⎢
⎣ Δx 2
+ T i, j +1
− 2T i, j
+ T i, j−1
Δy 2
where ΔT is the temperature change over a time Δt and i,j are indices into
a uniform structured grid (see next slide)
⎤
⎥
⎦