''' Created on 3. maj 2017 @author: mmpe ''' import numpy as np from wetb.hawc2.at_time_file import AtTimeFile from wetb.hawc2.pc_file import PCFile from wetb.hawc2.htc_file import HTCFile from scipy.interpolate.interpolate import interp1d import os from wetb.utils.geometry import rad from wetb.hawc2.st_file import StFile class BladeInfo(object): def twist(self, radius=None): """Aerodynamic twist [deg]. Negative when leading edge is twisted towards wind(opposite to normal definition)\n Parameters --------- radius : float or array_like, optional radius [m] of interest If None (default) the twist of all points are returned Returns ------- twist [deg] : float """ raise NotImplementedError() def chord(self, radius=None): """Aerodynamic chord Parameters --------- radius : float or array_like, optional radius [m] of interest If None (default) the twist of all points are returned Returns ------- chord [m] : float """ raise NotImplementedError() def c2nd(self, radius_nd): """Return center line position Parameters --------- radius_nd : float or array_like, optional non dimensional radius Returns ------- x,y,z : float """ class H2BladeInfo(BladeInfo, PCFile, AtTimeFile): """Provide HAWC2 info about a blade From AE file: - chord(radius=None, set_nr=1): - thickness(radius=None, set_nr=1) - radius_ae(radius=None, set_nr=1) From PC file - CL(radius, alpha, ae_set_nr=1) - CD(radius, alpha, ae_set_nr=1) - CM(radius, alpha, ae_set_nr=1) From at_time_filename - attribute_names - xxx(radius=None, curved_length=None) # xxx for each attribute name - radius_curved_ac(radius=None) # Curved length of nearest/all aerodynamic calculation points From ST file - radius_st(radius=None, mset=1, set=1) - xxx(radius=None, mset=1, set=1) # xxx for each of r, m, x_cg,y_cg, ri_x, ri_y, xs, ys, E, G, Ix, Iy, K, kx, ky, A, pitch, xe, ye with template """ def __init__(self, htcfile, ae_filename=None, pc_filename=None, at_time_filename=None, st_filename=None, blade_name=None): if isinstance(htcfile, str): assert htcfile.lower().endswith('.htc') htcfile = HTCFile(htcfile) blade_name = blade_name or htcfile.aero.link[2] s = htcfile.new_htc_structure at_time_filename = at_time_filename or ("output_at_time" in htcfile and os.path.join(htcfile.modelpath, htcfile.output_at_time.filename[0] + ".dat")) pc_filename = pc_filename or os.path.join(htcfile.modelpath, htcfile.aero.pc_filename[0]) ae_filename = ae_filename or os.path.join(htcfile.modelpath, htcfile.aero.ae_filename[0]) mainbodies = [s[k] for k in s.keys() if s[k].name_ == "main_body"] mainbody_blade = [mb for mb in mainbodies if mb.name[0] == blade_name][0] st_filename = st_filename or os.path.join(htcfile.modelpath, mainbody_blade.timoschenko_input.filename[0]) if os.path.isfile(pc_filename) and os.path.isfile(ae_filename): PCFile.__init__(self, pc_filename, ae_filename) blade_radius = self.ae_sets[1][-1,0] if os.path.isfile(st_filename): StFile.__init__(self, st_filename) if os.path.isfile(at_time_filename): AtTimeFile.__init__(self, at_time_filename, blade_radius) self.c2def = np.array([v.values[1:5] for v in mainbody_blade.c2_def if v.name_ == "sec"]) #self.c2nd = lambda x : interp1d(self.c2def[:, 2] / self.c2def[-1, 2], self.c2def[:, :3], axis=0, kind='cubic')(np.max([np.min([x, np.ones_like(x)], 0), np.zeros_like(x) + self.c2def[0, 2] / self.c2def[-1, 2]], 0)) x, y, z, twist = self.hawc2_splines() def interpolate(r): r = (np.max([np.min([r, np.ones_like(r)], 0), np.zeros_like(r) + self.c2def[0, 2] / self.c2def[-1, 2]], 0)) return np.array([np.interp(r, np.array(z) / z[-1], xyz) for xyz in [x,y,z, twist]]).T self.c2nd = interpolate #lambda r : interp1d(np.array(z) / z[-1], np.array([x, y, z]).T, axis=0, kind=1)(np.max([np.min([r, np.ones_like(r)], 0), np.zeros_like(r) + self.c2def[0, 2] / self.c2def[-1, 2]], 0)) def hawc2_splines(self): curve_z = np.r_[0, np.cumsum(np.sqrt(np.sum(np.diff(self.c2def[:, :3], 1, 0) ** 2, 1)))] curve_z_nd = curve_z / curve_z[-1] def akima(x, y): n = len(x) var = np.zeros((n + 3)) z = np.zeros((n)) co = np.zeros((n, 4)) for i in range(n - 1): var[i + 2] = (y[i + 1] - y[i]) / (x[i + 1] - x[i]) var[n + 1] = 2 * var[n] - var[n - 1] var[n + 2] = 2 * var[n + 1] - var[n] var[1] = 2 * var[2] - var[3] var[0] = 2 * var[1] - var[2] for i in range(n): wi1 = abs(var[i + 3] - var[i + 2]) wi = abs(var[i + 1] - var[i]) if (wi1 + wi) == 0: z[i] = (var[i + 2] + var[i + 1]) / 2 else: z[i] = (wi1 * var[i + 1] + wi * var[i + 2]) / (wi1 + wi) for i in range(n - 1): dx = x[i + 1] - x[i] a = (z[i + 1] - z[i]) * dx b = y[i + 1] - y[i] - z[i] * dx co[i, 0] = y[i] co[i, 1] = z[i] co[i, 2] = (3 * var[i + 2] - 2 * z[i] - z[i + 1]) / dx co[i, 3] = (z[i] + z[i + 1] - 2 * var[i + 2]) / dx ** 2 co[n - 1, 0] = y[n - 1] co[n - 1, 1] = z[n - 1] co[n - 1, 2] = 0 co[n - 1, 3] = 0 return co def coef2spline(s, co): x, y = [], [] for i, c in enumerate(co.tolist()[:-1]): p = np.poly1d(c[::-1]) z = np.linspace(0, s[i + 1] - s[i ], 10, endpoint=i >= co.shape[0] - 2) x.extend(s[i] + z) y.extend(p(z)) return y x, y, z, twist = [coef2spline(curve_z_nd, akima(curve_z_nd, self.c2def[:, i])) for i in range(4)] return x, y, z, twist def xyztwist(self, l=None, curved_length=False): """Return splined x,y,z and twist Parameters ---------- l : int, float, arraylike or None, optional Position of interest, seee curved_length\n If None (default) all x, y, z, and twist defined in c2def curved_length : bool, optional - If False: l is z coordinate of section - If True: l is curved length Returns ------- x,y,z,twist """ if l is None: return self.c2def[:, 3] else: r_nd = np.linspace(0,1,100) if curved_length: curved_length = np.cumsum(np.sqrt((np.diff(self.c2nd(np.linspace(0,1,100)),1,0)[:,:3]**2).sum(1))) assert np.all(l>=curved_length[0]) and np.all(l<=curved_length[-1]) return self.c2nd(r_nd[np.argmin(np.abs(curved_length-l))+1]) else: assert np.all(l>=self.c2def[0,2]) and np.all(l<=self.c2def[-1,2]) return self.c2nd(l/self.c2def[-1, 2]) class H2aeroBladeInfo(H2BladeInfo): def __init__(self, at_time_filename, ae_filename, pc_filename, htc_filename): """ at_time_filename: file name of at time file containing twist and chord data """ PCFile.__init__(self, pc_filename, ae_filename) blade_radius = self.ae_sets[1][-1,0] AtTimeFile.__init__(self, at_time_filename, blade_radius) assert('twist' in self.attribute_names) htcfile = HTCFile(htc_filename) self.c2def = np.array([v.values[1:5] for v in htcfile.blade_c2_def if v.name_ == "sec"]) #self._c2nd = interp1d(self.c2def[:, 2] / self.c2def[-1, 2], self.c2def[:, :3], axis=0, kind='cubic') ac_radii = self.ac_radius() c2_axis_length = np.r_[0, np.cumsum(np.sqrt((np.diff(self.c2def[:, :3], 1, 0) ** 2).sum(1)))] self._c2nd = interp1d(c2_axis_length / c2_axis_length[-1], self.c2def[:, :3], axis=0, kind='cubic') #self._c2nd = interp1d(self.c2def[:,2]/self.c2def[-1,2], self.c2def[:, :3], axis=0, kind='cubic') def c2nd(self, r_nd): r_nd_min = np.zeros_like(r_nd) + self.c2def[0, 2] / self.c2def[-1, 2] r_nd_max = np.ones_like(r_nd) r_nd = np.max([np.min([r_nd, r_nd_max], 0), r_nd_min], 0) return self._c2nd(r_nd)