nmm 22 uu 4500 fdr_mods_00000099 10.57892/100-99 doi fdr_mods_00000099 ger DE-601 rda eng 2024-05-07 2024-11-15 530 sdnb Mengel, Armin Author aut Institute for Experimental and Applied Physics, Kiel University Numerical calculation of the orientation-averaged projected area of an aggregate of spheres Mengel, Armin (2024-05-07) 2024-11-18 software, multimedia cop rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Both code files are MATLAB functions. The main function to call within MATLAB is "sphere_aggregate_projected_area.m". It depends on an auxiliary function "MC_hit_circles_area.m". This MATLAB (https://www.mathworks.com/products/matlab.html) code computes the orientation-averaged projected area of an aggregate of spheres using random sampling of orientations and Monte Carlo computation of the projected area for each orientation. The algorithm is as described in: R. Gopalakrishnan, T. Thajudeen, and C. J. Hogan, “Collision limited reaction rates for arbitrarily shaped particles across the entire diffusive knudsen number range,” The Journal of Chemical Physics 135, 054302 (2011). The number of random orientations as well as the number of random points for each Monte Carlo area computation can be adjusted. An option to plot the aggregate in 3d in a simple way is also implemented. Details on input and output of the function can be found as comments in the main function file. Monte Carlo integration computational geometry Monte-Carlo-Integration gnd Algorithmische Geometrie gnd database Faculties Faculty of Mathematics and Natural Sciences host institution his https://opendata.uni-kiel.de/receive/fdr_mods_00000099 object in context https://opendata.uni-kiel.de/servlets/MCRZipServlet/fdr_derivate_00000103 raw object https://opendata.uni-kiel.de/rsc/thumbnail/fdr_mods_00000099.png preview https://opendata.uni-kiel.de/receive/fdr_mods_00000099 uri