Motivation

1. Motivation • Need a stable way to extract the filament structure of the material • In general we don’t know the scale of simulation • Want a result that is invariant over small changes

2. Motivation • Need a stable way to extract the filament structure of the material • In general we don’t know the scale of simulation • Want a result that is invariant over small changes

3. Motivation • Need a stable way to extract the filament structure of the material • In general we don’t know the scale of simulation • Want a result that is invariant over small changes

4. Topology Background - MS-complex

5. Topology Background - MS-complex

6. Analysis of Porous Media - Impact • Extract filaments for various time steps, compare structures

7. Analysis of Porous Media - Impact • Compute statistics for time steps

8. Micrometeoroid impact direction Quantitative Analysis of the Impact of a Micrometeoroid in a Porous Medium Large scale atomistic simulation

9. The Topological Reconstruction Method is Validated with a Known Test Shape

10. The Hierarchical Morse-Smale Complex Has Very Good Reconstruction Properties

11. The Hierarchical Morse-Smale Complex Has Very Good Reconstruction Properties

12. We Apply This Procedure to the Porous Medium From Atomistic Simulations

13. We Apply This Procedure to the Porous Medium From Atomistic Simulations 372 simple cycles

14. We Apply This Procedure to the Porous Medium From Atomistic Simulations 410 simple cycles

15. We Apply This Procedure to the Porous Medium From Atomistic Simulations 325 simple cycles

16. We Obtain a Consistent Reconstruction of the Filament Structures in the Material Time comparison of the reconstructions

17. The Extracted Structures Allow to Quantify the Change in Density of the Material Density profiles Decay in porosity of the material