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

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

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

Topology Background - MS-complex

Topology Background - MS-complex

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

Analysis of Porous Media - Impact Compute statistics for time steps

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

The Topological Reconstruction Method is Validated with a Known Test Shape

The Hierarchical Morse-Smale Complex Has Very Good Reconstruction Properties

The Hierarchical Morse-Smale Complex Has Very Good Reconstruction Properties

We Apply This Procedure to the Porous Medium From Atomistic Simulations

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

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

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

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

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