Finding curvature; Methods, problems and solutions

1. Finding curvature;Methods, problems and solutions Mmac meeting June 28th, 2012 Amin Ahmadi Joneidi

2. Finding curvature; Methods, problems and solutions

3. Energy and force terms Ca, Capillary number H, Mean curvature K, Gaussian curvature ζ, Lagrangian multiplier Stress jump across the membrane of the RBC Stress jump across the membrane of the drop

4. Physical meaning of curvature H =

5. Interface definition H = 2

6. Curvature finding Contour integration method Loewenberg and Hinch (1996)

7. Validation n = 6 El. Number = 720 2.2838 For 12 special nodes H = For remained nodes

8. Validation n = 10 El. Number = 2000 2.2891 For 12 special nodes H = For remained nodes

9. Validation n = 12 El. Number = 2880 2.2899 For 12 special nodes H = For remained nodes

10. Drop in shear flow

11. Switch from water to blood

12. Curvature finding Parabola fitting method - Zinchenko et al. (1997)

13. Curvature in ellipsoid

14. Curvature finding using contour integration method Curvature finding using Parabola fitting method

16. Mesh destruction

17. Seek the problem