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Icosahedral mesh simulator. TSU 07. 0 8. 2012. . K . Natobaidze N . Qozashvili T . Aslanishvili N . Chumbadze B . Tsutskhvashvili G . Bakradze. 5th Georgian-German School and Workshop in Basic Science. 5 th Georgian-German School and W orkshop in Basic S cience, 2012. Task.
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Icosahedral mesh simulator TSU 07. 08. 2012. K. NatobaidzeN. QozashviliT. AslanishviliN. ChumbadzeB. Tsutskhvashvili G. Bakradze 5th Georgian-German School and Workshop in Basic Science 5th Georgian-German School and Workshop inBasic Science, 2012
5th Georgian-German School and Workshop in Basic Science Task icosahedron
5th Georgian-German School and Workshop in Basic Science Tools
5th Georgian-German School and Workshop in Basic Science Users where is ‘start’ button ?
5th Georgian-German School and Workshop in Basic Science Features
5th Georgian-German School and Workshop in Basic Science Features min area max area min value max value
5th Georgian-German School and Workshop in Basic Science Features
5th Georgian-German School and Workshop in Basic Science Effects
5th Georgian-German School and Workshop in Basic Science Effects
5th Georgian-German School and Workshop in Basic Science Effects
5th Georgian-German School and Workshop in Basic Science OpenGL
5th Georgian-German School and Workshop in Basic Science OpenGL
5th Georgian-German School and Workshop in Basic Science OpenGL mouse ‘listener’ keyboard ‘listener’
5th Georgian-German School and Workshop in Basic Science Structure end point start point
5th Georgian-German School and Workshop in Basic Science Structure
5th Georgian-German School and Workshop in Basic Science Subdivision 2) add row 1) divide container 3) add column
5th Georgian-German School and Workshop in Basic Science Subdivision
5th Georgian-German School and Workshop in Basic Science Neighbours
5th Georgian-German School and Workshop in Basic Science Problem Differential Equation on the Sphere • tє(0,T] • uu0is known later now ! ?
5th Georgian-German School and Workshop in Basic Science Differential equation stencil
5th Georgian-German School and Workshop in Basic Science Discretized analog –Explicit Euler scheme • Where , , is known. • is time step.
5th Georgian-German School and Workshop in Basic Science Other Numerical Methods • explicit Runge–Kutta methods
5th Georgian-German School and Workshop in Basic Science • Other explicit Runge–Kuttamethods Third Order approximation Second Order approximation Fourth Order approximation
5th Georgian-German School and Workshop in Basic Science Future plans • Local mesh refinement • Introduce different stencils • Extend developed software to concrete equations • Solve concrete problems
5th Georgian-German School and Workshop in Basic Science Special thanks to RamazBotchorishvili,TinatinDavitashvili and Nino Tkheshelashvili for their support Thank you გმადლობთ
5th Georgian-German School and Workshop in Basic Science waiting for Batumi