Add SPS turbulence model

[LasNikas]

Literature

Dalrymple and Rogers (2005): https://doi.org/10.1016/j.coastaleng.2005.10.004	Laha et al. (2024): https://doi.org/10.1038/s41598-024-57177-w
Laha et al. (2025): https://doi.org/10.1007/s40571-024-00879-9	Chatzoglou et al. (2025): https://doi.org/10.1080/19942060.2025.2591376

Analytical velocity profile of Poiseuille flow

Physical wall and extrapolated velocity

In English et al. (2021, https://doi.org/10.1007/s40571-021-00403-3), Sec. 3 mDBC formulation:

To approximate the no-slip condition at solid boundaries, the velocities of the boundary particles are set to zero.

WSS (Re = 50)

wss_analytical = 4 * dynamic_viscosity * v_max / wall_distance = 0.0125

Eq. 12, Laha et al. (2024a)

tau_w = 2 * dynamic_viscosity .* S

Zero boundary velocity	Extrapolated boundary velocity

[codecov]

Codecov Report

❌ Patch coverage is 0% with 126 lines in your changes missing coverage. Please review.
✅ Project coverage is 88.14%. Comparing base (faa6ce9) to head (1825d0a).
⚠️ Report is 5 commits behind head on main.

Files with missing lines	Patch %	Lines
src/schemes/fluid/turbulence_model.jl	0.00%	126 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1062      +/-   ##
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- Coverage   89.56%   88.14%   -1.42%     
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  Files         121      122       +1     
  Lines        8816     8992     +176     
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+ Hits         7896     7926      +30     
- Misses        920     1066     +146     

Flag	Coverage Δ
total	88.14% <0.00%> (-1.42%)	⬇️
unit	64.48% <0.00%> (-1.22%)	⬇️

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