Works fine! We already see LMC and M33 in  simulations. What's next? Can we run it into future and find how stocks are doing?

This opens a possibility to make detailed predictions for some known objects in the Local Supercluster and compare those predictions with observational data.

The Local Supercluster is mostly a large filament going along the line Virgo - Ursa Major.

There are smaller filaments joining  it with Coma, Great Attractor, Perseus-Pices superclusters.

Never ever use spherical infall model for the Local Supercluster unless the line of sight is directly to the Virgo cluster.

We now can use simulations to get the corrections for flows in the Local Supercluster. Then we will recover the structure of the Local Supercluster.

 Local Group is in a small filament going just in the direction of the Virgo.

Because the filament is small, it does not produce large peculiar velocities.

 Peciliar Velocities are very small on 5Mpc/h scale around our Galaxy: 50-60km/s, just as observed. It increases as we come close to the main body of the Local Supercluster. There is no disagreement between the models and the observational data in that respect.

 The Local Void seems to be very empty - no halos with V>90km/s. We need 10 times better resolution to get to smaller dwarfs. We still do not know if there is a problem with the abundance of dwarfs in voids. This is another way of addressing the "crisis on small scales" - too many dwarfs, too much power.