feat(cfd): add FlowSolution::integral_to_taylor_ratio (completes scale trio)#466
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…e trio) Completes the turbulence length-scale-ratio trio with the integral-to-Taylor ratio L/λ (dimensionless) — the ratio of the energy-containing integral length scale L (integral_length_scale, #445) to the intermediate Taylor microscale λ (taylor_microscale, #441). It joins λ/η (taylor_to_kolmogorov_ratio, #455) and L/η (integral_to_kolmogorov_ratio, #457). It grows linearly with Reynolds number (∝ 1/ν for a fixed flow) and in isotropic turbulence is exactly L/λ = Re_λ/15. Guards λ ≤ 0 (no dissipation). Analytic test (4 checks) on a pure shear u(y)=γy (ε=νγ²) and a solid-body rotation (ε=0): (a) delegation thread L/λ = L ÷ λ; (b) non-tautological identity L/λ = Re_λ/15 threading taylor_reynolds_number (#443); (c) 1/ν scaling — fixed field, halving ν doubles the ratio; (d) no-dissipation → 0. valenx-cfd-native 142 lib tests (was 141), clippy clean. No UI change. Research-grade closed-form diagnostic, not a production turbulence model.
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…ent (3PL/32) (#480) OPENS the two-span continuous-beam POINT-LOAD case. Adds the middle-support moment of a two-span continuous beam (three simple supports A-B-C, two equal spans L) when a single point load P acts at the mid-span of ONE span (the other unloaded): M_B = 3PL/32 (hogging). Derivation (three-moment / Clapeyron theorem): the loaded span's free-BM triangle (area PL²/8, centroid L/2 from the end support) gives 2·M_B·(2L) = -6·(PL²/8)(L/2)/L → M_B = -3PL/32. NOTE 3PL/32 = ½·(3PL/16) = ½· the propped-cantilever clamping moment (#466): the unloaded equal-stiffness adjacent span provides finite (not rigid) rotational restraint at B, exactly halving the fully-fixed value. Free fn -> alphabetical lib.rs re-export. Analytic test (4 checks): (a) exact value M_B = 3PL/32 = 6 for P=32, L=2; (b) NON-TAUTOLOGICAL dual thread over three signed (P, L) cases — (i) M_B = ½· the propped-cantilever clamping moment (#466), (ii) an INDEPENDENT three-moment-theorem recompute from the free-BM triangle area/centroid; (c) linear in P and L; (d) guards (L <= 0 or P non-finite -> 0). valenx-fem 284 lib tests (was 283), clippy clean. No UI change. Research-grade closed-form continuous-beam result, not a production solver.
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Summary
Completes the turbulence length-scale-ratio trio in
valenx-cfd-nativewith the integral-to-Taylor ratioL/λ(dimensionless) — the ratio of the energy-containing integral length scaleL(integral_length_scale, #445) to the intermediate Taylor microscaleλ(taylor_microscale, #441).It joins
λ/η(taylor_to_kolmogorov_ratio, #455) andL/η(integral_to_kolmogorov_ratio, #457). It grows linearly with Reynolds number (∝ 1/νfor a fixed flow) and in isotropic turbulence is exactlyL/λ = Re_λ/15. Guardsλ ≤ 0.Test (analytic, 4 checks)
On a pure shear
u(y)=γy(ε=νγ²) and a solid-body rotation (ε=0):L/λ = L ÷ λ.taylor_reynolds_number, feat(cad): surface-equivalent sphere diameter #443):L/λ = Re_λ/15.νdoubles the ratio.Verification
cargo test -p valenx-cfd-native --lib→ 142 passed (was 141).cargo clippy -p valenx-cfd-native --all-targets -- -D warnings→ clean.FlowSolutionmethod, no public-API/lib.rs change. No UI change.Research-grade closed-form diagnostic, not a production turbulence model.