Definition
Plain language
A way of simulating fluids on a computer by dividing space into little boxes and tracking how much of each quantity flows between them.
As stated in the literature
A numerical PDE-solving scheme that partitions the domain into control volumes and enforces conservation by balancing fluxes across cell faces; the method underlying solvers like Trixi.jl used in agentic scientific-computing benchmarks.
Also called: finite volume, finite-volume
Why it matters: By carefully balancing what flows in and out of each box, it keeps simulations physically faithful so quantities like mass and energy aren't lost or invented.
For example, to simulate air flowing over a wing, it splits the space into tiny boxes and tracks how much air moves from each box into its neighbors.
Heard on the show
“jl, which is a Julia-based finite-volume code, and one called Nektar++, which is a spectral element code.”Episode 042 — An Agentic Scientific Computing System That Actually Remembers What It Learns