Development of Coupled Particle Hypersonic Flowfield-Photon Monte Carlo Radiation Methods

bhw = half width of the line broadening, Å Eabs = integrated absorption energy,W=cm Eabs;p = absorption energy per particle, W Eemis = integrated emission energy,W=cm Eemis;p = emission energy per particle, W Eray = energy of a ray, photon bundle, W Fnum = Number of particles represented by a simulated particle i = cell index in the x direction j = cell index in the r direction k = line index k1;db = number of lines for i < bhw;max in the database k2;db = number of lines for i < bhw;max in the database Nc = number of particles in a cell Ny = umber of cells in the r direction na = atom number density, cm 3 ne = electron number density, cm 3 n = ion number density, cm 3 Qemis = integrated emission coefficient, W=cm=sr Qemis;k = accumulated atomic emission lines from i 1 to k in order of increasing wavelength,W=cm=sr Qemis; = partially integrated emission coefficient,W=cm=sr R = uniform random number between 0 and 1 r = radial coordinate, same as y rcn = local cone radius of a ray, cm Te = electron temperature, K Trot = rotational temperature, K Ttr = translational temperature, K Tvib = vibrational temperature, K Vc = volume of a cell, cm W2D = spatial weighting function in 2-D x = coordinate in the flow direction "i = emission line strength of a bound–bound transition at the centerline, W=cm=sr r q = radiative energy change, Eemis Eabs r qR = radiative heat flux in W=cm = contribution of a specific particle to the optical thickness, dimensionless " = emission coefficient at a wavelength , W=cm=sr= A = absorption coefficient, cm 1 = wavelength, Å i = wavelength of a bound–bound transition centerline, Å abs; = absorption cross section, cm ( =na) = optical thickness, dimensionless = line broadening function