The D3Q7 scalar lattice steps on the device after the flow's step, in
its own A–B pair of buffers: BGK collision with the velocity the
momentum collision leaves in the moments buffer, pull streaming with
the links' rules read through each group's thermal condition
(anti-bounce-back for a held temperature, bounce-back for an adiabatic
face, a flux added to the bounced population), inlets at their held
temperature and outlets copying their neighbour. The populations are
stored as deviations from w_q T₀ so single precision keeps the digits
of the differences. The heat each link exchanged goes into the fourth
component of the momentum-exchange contributions and the group sums;
the buoyant acceleration −β g θ is read per cell in the collision, the
open boundaries and the moments. A temperature that stops being a
number ends the chunk with Error::Unstable like the flow's checks.
Flow exposes what the backend needs to build the device state (the
thermal settings and populations).
Verification against the CPU on lavapipe: plates held at 20 and 21
(temperatures within 1.4e-5 of the range, the wall heats within 6e-5
and both against k ΔT A / H), a heated channel with a parabolic inlet
carrying its temperature, a flux wall, a held wall and an outlet
(temperature 3e-7, heat 1e-7) and a buoyant cavity at Ra 10³
(velocity 1.3e-6, temperature 6e-7, heat 2.4e-6). The tests now fail
on a shader that does not compile instead of skipping; only a missing
device skips.
Part of #157.
A D3Q7 passive scalar rides on the D3Q19 flow: it is advected by the
cell velocity, diffuses with the fluid's thermal diffusivity (the
relaxation time follows from k / (rho c)), and feeds back into the
momentum through a per-cell Boussinesq force when the domain has an
expansion coefficient and gravity. Walls and obstacle faces hold a
temperature (anti-bounce-back), a heat flux (added to the bounced
population) or are adiabatic (bounce-back); velocity inlets carry the
held temperature in, pressure outlets copy their neighbour.
The heat crossing each face group is accumulated during streaming and
reported in physical units (W) in the result's heat histories, next to
the force histories; frames gain a temperature field and the stats
report the thermal relaxation time.
Closed-form checks: linear conduction between held plates, a flux wall
against q H / k with the wall's heat balance, an inlet temperature
carried through a plug flow, and a periodic blob that conserves its
total and returns after one lap. The de Vahl Davis cavity (Ra 1e3 and
1e4 against the published Nusselt numbers) is there as an ignored test
because it takes minutes.
The GPU backend declines domains with heat for now and asks for the
CPU; its kernels follow.
Part of #157.
Every cell did an atomicMax on the same word; a workgroup reduction first
leaves one per 256 cells. Same result, less contention on a single
address.
Part of #529.
A new L7 crate: the CPU scheme's collision (TRT with Guo forcing), the
per-link streaming rules (bounce-back with Ladd's term, slip reflection,
open placeholders), the Zou–He boundaries and the momentum exchange per
force group as wgpu compute shaders, stepping the flow fieldcraft_lbm's
Flow prepared, through its Backend trait: populations stay on the device,
a chunk of steps is one submission, and only frames, forces and the
stability check come back. Populations are stored as deviations from
their weights, which keeps single precision honest: the verification
cases (Poiseuille with Λ = 3/16, Couette with wall forces, Taylor–Green,
a sphere's drag, a Zou–He channel) agree with the CPU to 2–5e-6 in
velocity, 1e-6 in density and 5e-5 in force, with those tolerances stated
in the tests. The rules are applied one thread per link rather than in a
per-cell loop, which lavapipe's JIT miscompiles (and which diverges on
real GPUs anyway). Native only for now; the browser registers nothing.
Part of #529.
Christian Svensson