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Update anisotropic convection demo for current APIs #480

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Update anisotropic convection demo for current APIs #480

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30 changes: 23 additions & 7 deletions scripts/aniso_convection_demo.py
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Original file line number Diff line number Diff line change
Expand Up @@ -31,6 +31,23 @@
import matplotlib.pyplot as plt
import matplotlib.tri as mtri
import underworld3 as uw


DT_SAFETY = 0.1


def scalar_dt(value):
"""Convert estimate_dt() output to a plain scalar timestep."""
try:
dt = float(value)
except TypeError:
arr = np.asarray(value, dtype=float)
dt = float(np.nanmin(arr))

if not np.isfinite(dt) or dt <= 0.0:
raise ValueError(f"Bad timestep from estimate_dt(): {value!r}")

return DT_SAFETY * dt
from underworld3.meshing import smooth_mesh_interior
from underworld3.meshing.smoothing import _tri_cells, _signed_areas

Expand Down Expand Up @@ -68,8 +85,7 @@ def run_convection(mesh, r, th, v, P, t_soln, cellsize):
stokes.penalty = 0.0
unit_r = mesh.CoordinateSystem.unit_e_0
stokes.add_essential_bc((0.0, 0.0), mesh.boundaries.Lower.name)
stokes.add_natural_bc(1.0e6 * v.sym.dot(unit_r) * unit_r,
mesh.boundaries.Upper.name)
stokes.add_essential_bc((0.0, 0.0), mesh.boundaries.Upper.name)
T_cond = (r_o - r) / (r_o - r_inner)
stokes.bodyforce = RA * (t_soln.sym[0] - T_cond) * unit_r

Expand All @@ -91,9 +107,9 @@ def run_convection(mesh, r, th, v, P, t_soln, cellsize):

t_sim = 0.0
for s in range(N_STEPS):
dt = adv_diff.estimate_dt()
dt = scalar_dt(adv_diff.estimate_dt())
adv_diff.solve(timestep=dt, zero_init_guess=False)
stokes.solve(zero_init_guess=False)
stokes.solve(zero_init_guess=True)
t_sim += dt
tt = t_soln.data[:, 0]
print(f" step {s+1:2d}: t={t_sim:.4f} Δt={dt:.2e} "
Expand All @@ -112,6 +128,7 @@ def run_convection(mesh, r, th, v, P, t_soln, cellsize):
print(f"=== Ra={RA:.0e} annulus convection, {N_STEPS} steps, "
f"res-{RES} (FIXED mesh) ===")
run_convection(mesh, r, th, v, P, t_soln, cellsize)
os.makedirs(os.path.dirname(CACHE), exist_ok=True)
np.savez(CACHE, T=np.asarray(t_soln.data),
V=np.asarray(v.data),
Xc=np.asarray(mesh.X.coords))
Expand Down Expand Up @@ -150,9 +167,8 @@ def run_convection(mesh, r, th, v, P, t_soln, cellsize):

# --- 3. refine the mesh on the T-gradient metric -------------------
A0 = np.abs(_signed_areas(X_orig, tris))
print(f"=== refine: method='anisotropic' on ρ∝|∇T| ===")
smooth_mesh_interior(mesh, metric=metric, method="anisotropic",
verbose=True)
print("=== refine: node_redistribution on ρ∝|∇T| ===")
uw.meshing.node_redistribution(mesh, metric)
X_ref = np.asarray(mesh.X.coords).copy()
A1 = np.abs(_signed_areas(X_ref, tris))
print(f"minA/meanA before={A0.min()/A0.mean():.4f} "
Expand Down
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