radial build distance finder and example

Examples/radial_build_distance_example.py

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+from parastell.radial_distance_utils import *
+
+coils_file = "coils_wistelld.txt"
+circ_cross_section = ["circle", 25]
+toroidal_extent = 90.0
+vmec_file = "plasma_wistelld.nc"
+vmec = read_vmec.VMECData(vmec_file)
+
+magnet_set = magnet_coils.MagnetSet(
+    coils_file, circ_cross_section, toroidal_extent
+)
+
+reordered_filaments = get_reordered_filaments(magnet_set)
+
+build_magnet_surface(reordered_filaments)
+
+toroidal_angles = np.linspace(0, 90, 72)
+poloidal_angles = np.linspace(0, 360, 96)
+wall_s = 1.08
+
+radial_build_dict = {}
+
+radial_build = ivb.RadialBuild(
+    toroidal_angles, poloidal_angles, wall_s, radial_build_dict
+)
+build = ivb.InVesselBuild(vmec, radial_build, split_chamber=False)
+build.populate_surfaces()
+build.calculate_loci()
+ribs = build.Surfaces["chamber"].Ribs
+radial_distances = measure_radial_distance(ribs)
+np.savetxt("radial_distances.csv", radial_distances, delimiter=",")

parastell/radial_distance_utils.py

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+import numpy as np
+
+# from matplotlib import pyplot as plt
+# from matplotlib.ticker import FormatStrFormatter
+from . import magnet_coils
+from . import invessel_build as ivb
+import pystell.read_vmec as read_vmec
+
+import cubit
+
+
+# function to get reordered filaments
+def calc_z_radius(point):
+    """
+    Calculate the distance from the z axis.
+
+    Arguments:
+        point (iterable of [x,y,z] float): point to find distance for
+    Returns:
+        (float): distance to z axis.
+    """
+    return (point[0] ** 2 + point[1] ** 2) ** 0.5
+
+
+def get_start_index(filament):
+    """
+    Find the index at which the filament crosses the xy plane on the OB
+    side of the filament
+
+    Arguments:
+        filament (list of list of float): List of points defining the filament
+
+    Returns:
+        max_z_index (int): index at which the filament crosses the xy plane
+    """
+    max_z_index = None
+    max_z_radius = None
+    for index, point in enumerate(filament[0:-1]):
+        next_point = filament[index + 1]
+        if point[2] / next_point[2] < 0:
+            z_radius = calc_z_radius(point)
+            if max_z_radius is None:
+                max_z_index = index
+                max_z_radius = z_radius
+
+            elif max_z_radius < z_radius:
+                max_z_index = index
+                max_z_radius = z_radius
+    return max_z_index
+
+
+def sort_filaments_toroidally(filaments):
+    """
+    Reorder filaments in order of increasing toroidal angle
+
+    Arguments:
+        filaments (list of list of list of float): List of filaments, which are
+            lists of points defining each filament.
+    Returns:
+        filaments (list of list of list of float): filaments in order of
+            increasing toroidal angle.
+    """
+    com_list = []
+
+    for fil in filaments:
+        com = np.average(fil, axis=0)
+        com_list.append(com)
+
+    com_list = np.array(com_list)
+    phi_arr = np.arctan2(com_list[:, 1], com_list[:, 0])
+
+    filaments = np.array([x for _, x in sorted(zip(phi_arr, filaments))])
+
+    return filaments
+
+
+def reorder_filaments(filaments):
+    """
+    Reorder the filaments so they start near the outboard xy plane crossing,
+    and begin by increasing z value.
+
+    Arguments:
+        filaments (list of list of list of float): List of filaments, which are
+            lists of points defining each filament.
+    Returns:
+        filaments (list of list of list of float): Reorderd list of filaments,
+            suitable for building the magnet surface.
+    """
+    for filament_index, filament in enumerate(filaments):
+        # start the filament at the outboard
+        max_z_index = get_start_index(filament)
+        reordered_filament = np.concatenate(
+            [filament[max_z_index:], filament[0:max_z_index]]
+        )
+
+        # make sure z is increasing initially
+        if filament[max_z_index, 2] > filament[max_z_index + 1, 2]:
+            reordered_filament = np.flip(reordered_filament, axis=0)
+
+        # remove duplicate point since the start point might be different
+        _, idx = np.unique(reordered_filament, return_index=True, axis=0)
+        reordered_filament = reordered_filament[np.sort(idx)]
+
+        # ensure filament is a closed loop
+        reordered_filament = np.concatenate(
+            [reordered_filament, [reordered_filament[0]]]
+        )
+
+        filaments[filament_index] = reordered_filament
+
+    filaments = sort_filaments_toroidally(filaments)
+
+    return filaments
+
+
+def get_reordered_filaments(magnet_set):
+    """
+    Convenience function to get the reordered filament data from a magnet
+    """
+    magnet_set._extract_filaments()
+    magnet_set._set_average_radial_distance()
+    magnet_set._set_filtered_filaments()
+
+    filtered_filaments = magnet_set.filtered_filaments
+    filaments = reorder_filaments(filtered_filaments)
+
+    return filaments
+
+
+def build_magnet_surface(reordered_filaments):
+    for fil_index, _ in enumerate(reordered_filaments[0:-1]):
+        fil1 = reordered_filaments[fil_index]
+        fil2 = reordered_filaments[fil_index + 1]
+        for index, _ in enumerate(fil1):
+            x1 = fil1[index, 0]
+            x2 = fil2[index, 0]
+            y1 = fil1[index, 1]
+            y2 = fil2[index, 1]
+            z1 = fil1[index, 2]
+            z2 = fil2[index, 2]
+            cubit.cmd(
+                f"create curve location {x1} {y1} {z1} location {x2} {y2} {z2}"
+            )
+
+    lines = np.array(cubit.get_entities("curve"))
+    lines = np.reshape(
+        lines, (len(reordered_filaments) - 1, len(reordered_filaments[0]))
+    )
+    for loop in lines:
+        for line in loop[0:-1]:
+            cubit.cmd(f"create surface skin curve {line} {line + 1}")
+
+
+def measure_radial_distance(ribs):
+    distances = []
+    for rib in ribs:
+        distance_subset = []
+        for point, direction in zip(rib.rib_loci, rib._normals()):
+            cubit.cmd(f"create vertex {point[0]} {point[1]} {point[2]}")
+            vertex_id = max(cubit.get_entities("vertex"))
+            cubit.cmd(
+                f"create curve location at vertex {vertex_id} "
+                f"location fire ray location at vertex {vertex_id} "
+                f"direction {direction[0]} {direction[1]} {direction[2]} at "
+                "surface all maximum hits 1"
+            )
+            curve_id = max(cubit.get_entities("curve"))
+            distance = cubit.get_curve_length(curve_id)
+            distance_subset.append(distance)
+        distances.append(distance_subset)
+    return np.array(distances)