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Real-time Fluid Dynamics

Real-time Fluid Dynamics. Maciej Matyka Institute For Theoretical Physics. Real-time Fluid Dynamics. maq / floppy. Porous media. Large. Parallel. Long run-times. Real-time (3 parts). 1: Review fluid dynamics. 2: Lattice Boltzmann Model. Pord Tuo. Crush.

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Real-time Fluid Dynamics

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  1. Real-time Fluid Dynamics Maciej Matyka Institute For Theoretical Physics

  2. Real-time Fluid Dynamics maq / floppy

  3. Porous media. Large. Parallel. Long run-times.

  4. Real-time (3 parts)

  5. 1: Review fluid dynamics

  6. 2: Lattice Boltzmann Model Pord Tuo Crush Breakpoint 2008 Revision 2012

  7. 3: Aerodynamics

  8. Fluid simulation Navier-Stokes Molecular Dynamics

  9. Molecular dynamics (interactions) Too many atoms required…

  10. Navier-Stokes equations

  11. Lagrangian Eulerian

  12. (key work) 1965, Welch, J.E. Harlow, F. Shannon, J. P. Daly, B. J.

  13. Navier-Stokes discretization

  14. The MAC Method (modified)

  15. 1996, N. Foster and D. Metaxas The MAC sold to CG community.

  16. 2001, N. Foster and R. Fedkiw • level sets • large steps

  17. Real-time?

  18. 2003, Jos Stam 1. short, 2. stable, 3. dissipative

  19. Fluid simulation Navier-Stokes Molecular Dynamics

  20. Fluid simulation Navier-Stokes Molecular Dynamics

  21. Fluid simulation Navier-Stokes Smoothed Particle Hydrodynamics (SPH) Molecular Dynamics

  22. Smoothed Particle Hydrodynamics (SPH)

  23. Smoothed Particle Hydrodynamics (SPH)

  24. Fluid simulation Navier-Stokes Smoothed Particle Hydrodynamics (SPH) Molecular Dynamics

  25. Fluid simulation Navier-Stokes Lattice Boltzmann Method (LBM) Smoothed Particle Hydrodynamics (SPH)Molecular Dynamics

  26. LBM 1844 - 1906 Kinetic theory of gases Ludwig Boltzmann

  27. LBM distribution function

  28. LBM

  29. LBM

  30. LBM

  31. LBM

  32. LBM

  33. (with Mr. Acryl/ Anadune)

  34. LBM Immersed Boundary Velocity Correction Method, Shu et. al. 2007

  35. LBM

  36. LBM & GPU • locality • no iterations • single precision OK

  37. LBM Compute shader implementation.

  38. LBM 3d is straigtforward

  39. LBM

  40. 3: Aerodynamics

  41. It has analytical solutions!

  42. Animation Aerodynamics, 1991 Wejchert, J. et. al.

  43. Wind force on face

  44. Failure…

  45. Collisions with distance functions

  46. work in progress…

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