Spread sliced sections evenly over the span, not over leading-edge arc length

CHANGELOG.md

@@ -8,6 +8,10 @@
 - The Makie `plot!` methods for a `Panel` or a `BodyAerodynamics` return a
   `Vector{Makie.AbstractPlot}` instead of a `Vector{Any}`; for a `BodyAerodynamics`
   drawn as flat panels it is one flat list rather than a list per panel.
+- `obj_to_yaml` and `perpendicular_sections` spread the sections evenly over the span,
+  measured along the quarter-chord line without its chordwise component, instead of
+  over leading-edge arc length, and `wingtip_distance` is that spanwise length. A tip
+  whose leading edge runs aft no longer gathers sections into its last centimetres.
 
 ### Fixed
 

docs/src/airfoil_pipeline.md

@@ -27,7 +27,7 @@ The conversion runs four stages per spanwise station:
 ## 1. Slice
 
 [`perpendicular_sections`](@ref VortexStepMethod.ObjAdapter.perpendicular_sections)
-places `n_sections` stations at equal leading-edge arc-length intervals and cuts the
+places `n_sections` stations evenly over the span and cuts the
 mesh *perpendicular to the local span*, rather than along a fixed global plane. On a
 curved kite tip a fixed-plane cut would smear the profile out and exaggerate the
 chord; a perpendicular cut keeps each airfoil undistorted. Each slice comes back as a
@@ -113,8 +113,8 @@ For each unique airfoil id `j`, `obj_to_yaml` writes into `output_dir`:
   directory
 
 A tip that tapers to a point has no airfoil to slice, so the outermost stations stop at
-the last slice that still has a chord; `wingtip_distance` moves them a further arc length
-inboard when the slices just short of the tip are still too thin to analyse. A
+the last slice that still has a chord; `wingtip_distance` moves them a further spanwise
+length inboard when the slices just short of the tip are still too thin to analyse. A
 near-vanishing slice that does get through can shrink-wrap to an implausibly thick blob;
 such a degenerate section reuses its nearest valid neighbour's airfoil and polar while
 keeping its own edge positions, and a warning lists the reuse. All floats are rounded to millimetre

docs/src/settings.md

@@ -53,7 +53,7 @@ wings:
       n_bins: 60                  # leading-edge stations marched across the span
       # rows of the mesh-to-slicer rotation, whose x = chord, y = span, z = up
       rotation: [[0, 0, -1], [-1, 0, 0], [0, 1, 0]]
-      wingtip_distance: 0.0       # arc length the outermost sections stop short [m]
+      wingtip_distance: 0.0       # span the outermost sections stop short [m]
       clearance: 0.006            # shrink-wrap offset outside the cloud [chord fraction]
       min_concave_radius: 0.02    # shrink-wrap rolling-ball radius [chord fraction]
 

src/obj_adapter/obj_slice.jl

@@ -270,16 +270,16 @@ function slice_mesh_at_plane(vertices, faces, point, normal; tol=1e-6)
 end
 
 """
-    march_edges(vertices, faces; step) -> (; le, te, point, tangent, arclen)
+    march_edges(vertices, faces; step) -> (; le, te, point, tangent)
 
 March the leading edge outward from mid-span in both directions in steps of arc
 length `step`. Each cut is a vertical spanwise plane (both the chordwise and vertical
 components of the running LE tangent dropped from the normal) so a tip that curls
 downward can't tilt the plane toward horizontal, where its min-chord "LE" pick would
 jump across the wing. Marching stops when the leading edge stops advancing spanwise.
 Cuts sample mesh *edges*, so the picks are robust to vertex density. Returns, ordered
-along the span, the LE/TE points, each cut's plane origin and tangent, and the
-cumulative LE arc length. Build the airfoil for a chosen station with `build_section`.
+along the span, the LE/TE points and each cut's plane origin and tangent. Build the
+airfoil for a chosen station with `build_section`.
 """
 function march_edges(vertices, faces; step)
     ys = [v[2] for v in vertices]
@@ -318,7 +318,7 @@ function march_edges(vertices, faces; step)
                     probe_mid = prev_le .+ mid .* tangent
                     here = cut(probe_mid, tangent)
                     # Reject a near-degenerate tip slice whose min-chord "LE" has jumped
-                    # chordwise (an artifact that would skew the leading-edge arc length).
+                    # chordwise (an artifact that would misplace the tip station).
                     valid = here !== nothing &&
                             abs(here.le[1] - prev_le[1]) < step &&
                             build_section(vertices, faces, here.le, here.te,
@@ -340,12 +340,8 @@ function march_edges(vertices, faces; step)
 
     center = (; mid_cut.le, mid_cut.te, point=[0.0, y_mid, 0.0], tangent=[0.0, 1.0, 0.0])
     rows = vcat(reverse(march(-1.0)), [center], march(1.0))
-    arclen = zeros(length(rows))
-    for i in 2:length(rows)
-        arclen[i] = arclen[i-1] + norm(rows[i].le - rows[i-1].le)
-    end
     return (; le=[r.le for r in rows], te=[r.te for r in rows],
-            point=[r.point for r in rows], tangent=[r.tangent for r in rows], arclen)
+            point=[r.point for r in rows], tangent=[r.tangent for r in rows])
 end
 
 """
@@ -429,12 +425,12 @@ end
 
 Extract `n_sections` airfoil cross-sections following a curved or swept span. The
 leading edge is marched into `n_bins` stations (`march_edges`); the airfoil is
-built (`build_section`) at the marched station nearest each equal
-**leading-edge arc-length** target. Each section is
+built (`build_section`) at the marched station nearest each of `n_sections` targets
+spread evenly over the span ([`station_indices`](@ref)). Each section is
 `(; LE_point, TE_point, span_dir, contour3d, x_airfoil, y_airfoil)`.
 
-Stations closed to a point at the tips are skipped ([`station_indices`](@ref)), and
-`wingtip_distance` insets the outermost sections a further arc length.
+Stations closed to a point at the tips are skipped, and `wingtip_distance` [m]
+insets the outermost sections a further spanwise length.
 
 The slicer assumes `x` = chordwise, `y` = spanwise, `z` = up. Pass a `3×3` rotation
 matrix to reorient a mesh stored in another convention before slicing.
@@ -455,19 +451,24 @@ end
 """
     station_indices(march, n; wingtip_distance=0.0, min_chord_frac=0.01) -> Vector{Int}
 
-Indices of the [`march_edges`](@ref) stations nearest `n` targets spread over the
-leading-edge arc length. Stations whose chord has closed to less than
-`min_chord_frac` of the longest one are left out of that range first, so a wing
-tapering to a point puts its outermost sections on the last stations that still
-have an airfoil to slice rather than on the point itself. The remaining first and
-last targets sit a further `wingtip_distance` (arc length) inboard.
+Indices of the [`march_edges`](@ref) stations nearest `n` targets spread evenly over
+the spanwise length of the quarter-chord line: its arc length with the chordwise `x`
+component dropped. Stations whose chord has closed to less than `min_chord_frac` of
+the longest one are left out of that range first, so a wing tapering to a point puts
+its outermost sections on the last stations that still have an airfoil to slice. The
+remaining first and last targets sit a further `wingtip_distance` [m] inboard.
 """
 function station_indices(march, n; wingtip_distance=0.0, min_chord_frac=0.01)
     chords = [norm(te .- le) for (le, te) in zip(march.le, march.te)]
     usable = findall(≥(min_chord_frac * maximum(chords)), chords)
-    arclen = march.arclen
-    inner, outer = arclen[first(usable)], arclen[last(usable)]
+    quarter_chord = [le .+ 0.25 .* (te .- le) for (le, te) in zip(march.le, march.te)]
+    span = zeros(length(quarter_chord))
+    for i in 2:length(span)
+        step = quarter_chord[i] .- quarter_chord[i-1]
+        span[i] = span[i-1] + hypot(step[2], step[3])
+    end
+    inner, outer = span[first(usable)], span[last(usable)]
     d = clamp(wingtip_distance, 0.0, (outer - inner) / 2)
-    n == 1 && return [argmin(abs.(arclen .- (inner + outer) / 2))]
-    return [argmin(abs.(arclen .- t)) for t in range(inner + d, outer - d, n)]
+    n == 1 && return [argmin(abs.(span .- (inner + outer) / 2))]
+    return [argmin(abs.(span .- t)) for t in range(inner + d, outer - d, n)]
 end

src/obj_adapter/obj_to_yaml.jl

@@ -42,14 +42,13 @@ end
 
 Convert a 3D wing `.obj` mesh to the native YAML geometry route.
 
-Stations are placed at equal leading-edge arc-length intervals and sliced
+Stations are spread evenly over the span ([`station_indices`](@ref)) and sliced
 perpendicular to the local span (see [`perpendicular_sections`](@ref)), which
 keeps the airfoil undistorted near curved tips; each shape is then shrink-wrapped
 into a clean airfoil and evaluated with `aero_solver`. The leading edge is marched
-into `n_bins` stations. A tip that tapers to a
-point carries no airfoil, so the outermost stations stop at the last slice that
-still has a chord ([`station_indices`](@ref)); `wingtip_distance` moves them a
-further arc length inboard.
+into `n_bins` stations. A tip that tapers to a point carries no airfoil, so the
+outermost stations stop at the last slice that still has a chord; `wingtip_distance`
+moves them a further spanwise length inboard.
 
 `aero_solver` selects the 2D-airfoil backend: [`NeuralFoilSolver`](@ref) (default,
 fast) or [`XFoilSolver`](@ref) (viscous panel code); pass `aero_solver=XFoilSolver()`

src/settings.jl

@@ -38,7 +38,7 @@ slices as an unconfigured call.
     trace (default `60`).
 - `rotation`: Rows of the mesh-to-slicer rotation, which brings the mesh into the
     slicer's convention of x = chord, y = span, z = up (default the identity).
-- `wingtip_distance`: Arc length [m] the outermost sections stop short of each tip
+- `wingtip_distance`: Spanwise length [m] the outermost sections stop short of each tip
     (default `0.0`).
 - `clearance`: Shrink-wrap offset [chord fraction] the contour holds outside every
     cloud point, and the radius its convex corners are rounded at (default

test/obj_adapter/test_obj_adapter.jl

@@ -28,6 +28,25 @@ obj_path = normpath(joinpath(@__DIR__, "..", "..",
         end
     end
 
+    @testset "station_indices spreads sections evenly in span past a raked tip" begin
+        # Straight LE over |y| ≤ 1, then tip caps whose LE runs 40 mm aft per 3 mm span.
+        cap = [(1.0 + 0.003k, 0.04k) for k in 1:20]
+        stations = vcat(reverse([(-y, x) for (y, x) in cap]),
+                        [(y, 0.0) for y in -1.0:0.05:1.0], cap)
+        march = (; le=[[x, y, 0.0] for (y, x) in stations],
+                 te=[[1.0, y, 0.0] for (y, _) in stations])
+        half_span = 1.06
+
+        y = [march.le[i][2] for i in ObjAdapter.station_indices(march, 9)]
+        @test all(isapprox.(diff(y), 2half_span / 8; atol=0.05))
+
+        wingtip_distance = 0.3
+        y = [march.le[i][2]
+             for i in ObjAdapter.station_indices(march, 9; wingtip_distance)]
+        @test y[1] ≈ -(half_span - wingtip_distance) atol=0.05
+        @test y[end] ≈ half_span - wingtip_distance atol=0.05
+    end
+
     @testset "obj_to_yaml (alpha,delta) matrices -> loadable Wing (NeuralFoil)" begin
         @test isfile(yaml)
         @test isfile(joinpath(out, "polars", "1.csv"))