Icosahedral mesh simulator TSU K. Natobaidze N. Qozashvili T. Aslanishvili N. Chumbadze B. Tsutskhvashvili G. Bakradze 5 th Georgian-German School and Workshop in Basic Science, th Georgian-German School and Workshop in Basic Science Task icosahedron 2 5th Georgian-German School and Workshop in Basic Science Tools 3 5th Georgian-German School and Workshop in Basic Science Users where is start button ? 4 5th Georgian-German School and Workshop in Basic Science 5 Features 6 5th Georgian-German School and Workshop in Basic Science Features 7 min areamax areamin valuemax value 5th Georgian-German School and Workshop in Basic Science Features 8 5th Georgian-German School and Workshop in Basic Science Effects 9 5th Georgian-German School and Workshop in Basic Science Effects 10 5th Georgian-German School and Workshop in Basic Science Effects 11 5th Georgian-German School and Workshop in Basic Science OpenGL 12 glutCreateWindow()glutInitWindowSize(x,y)glutInitWindowPosition(x,y) 5th Georgian-German School and Workshop in Basic Science OpenGL 13 glutDisplayFunc(display) glutReshapeFunc(reshape) 5th Georgian-German School and Workshop in Basic Science OpenGL 14 mouse listener keyboard listener 5th Georgian-German School and Workshop in Basic Science Structure start point end point 15 5th Georgian-German School and Workshop in Basic Science Structure 16 5th Georgian-German School and Workshop in Basic Science Subdivision 1) divide container 2) add row 3) add column 17 5th Georgian-German School and Workshop in Basic Science Subdivision 18 5th Georgian-German School and Workshop in Basic Science Neighbours 19 5th Georgian-German School and Workshop in Basic Science Problem 20 5th Georgian-German School and Workshop in Basic Science Differential equation 21 5th Georgian-German School and Workshop in Basic Science Discretized analog Explicit Euler scheme 22 5th Georgian-German School and Workshop in Basic Science Other Numerical Methods 23 5th Georgian-German School and Workshop in Basic Science 24 Second Order approximation Third Order approximation Fourth Order approximation 5th Georgian-German School and Workshop in Basic Science Future plans 25 Local mesh refinement Introduce different stencils Extend developed software to concrete equations Solve concrete problems 5th Georgian-German School and Workshop in Basic Science 26 Special thanks to Ramaz Botchorishvili, Tinatin Davitashvili and Nino Tkheshelashvili for their support 5th Georgian-German School and Workshop in Basic Science waiting for Batumi 27 5th Georgian-German School and Workshop in Basic Science