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Icosahedral mesh simulator

The 5th Georgian-German School and Workshop in Basic Science, held in August 2012, focused on the development and application of an Icosahedral mesh simulator. The workshop brought together researchers and students to enhance their understanding of mesh construction and numerical methods for solving differential equations on spherical domains. Key topics included the implementation of OpenGL for graphical representation, features of the mesh structure, and numerical techniques like Explicit Euler and Runge-Kutta methods. Special thanks were extended to contributors for their invaluable support.

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Icosahedral mesh simulator

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  1. 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

  2. 5th Georgian-German School and Workshop in Basic Science Task icosahedron

  3. 5th Georgian-German School and Workshop in Basic Science Tools

  4. 5th Georgian-German School and Workshop in Basic Science Users where is ‘start’ button ?

  5. 5th Georgian-German School and Workshop in Basic Science

  6. 5th Georgian-German School and Workshop in Basic Science Features

  7. 5th Georgian-German School and Workshop in Basic Science Features min area max area min value max value

  8. 5th Georgian-German School and Workshop in Basic Science Features

  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 Effects

  12. 5th Georgian-German School and Workshop in Basic Science OpenGL

  13. 5th Georgian-German School and Workshop in Basic Science OpenGL

  14. 5th Georgian-German School and Workshop in Basic Science OpenGL mouse ‘listener’ keyboard ‘listener’

  15. 5th Georgian-German School and Workshop in Basic Science Structure end point start point

  16. 5th Georgian-German School and Workshop in Basic Science Structure

  17. 5th Georgian-German School and Workshop in Basic Science Subdivision 2) add row 1) divide container 3) add column

  18. 5th Georgian-German School and Workshop in Basic Science Subdivision

  19. 5th Georgian-German School and Workshop in Basic Science Neighbours

  20. 5th Georgian-German School and Workshop in Basic Science Problem Differential Equation on the Sphere • tє(0,T] • uu0is known later now ! ?

  21. 5th Georgian-German School and Workshop in Basic Science Differential equation stencil

  22. 5th Georgian-German School and Workshop in Basic Science Discretized analog –Explicit Euler scheme • Where , , is known. • is time step.

  23. 5th Georgian-German School and Workshop in Basic Science Other Numerical Methods • explicit Runge–Kutta methods

  24. 5th Georgian-German School and Workshop in Basic Science • Other explicit Runge–Kuttamethods Third Order approximation Second Order approximation Fourth Order approximation

  25. 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

  26. 5th Georgian-German School and Workshop in Basic Science Special thanks to RamazBotchorishvili,TinatinDavitashvili and Nino Tkheshelashvili for their support Thank you გმადლობთ

  27. 5th Georgian-German School and Workshop in Basic Science waiting for Batumi

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