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Given a merger tree extracted from an N-body simulation, our goal is to augment the resolution of the tree by grafting on higher resolution branches which match the pre-existing tree structure to some given precision.
We demonstrate a method to augment the resolution of N-body merger trees by grafting in branches of Monte Carlo merger trees with higher resolution, but which are consistent with the pre-existing branches in the N-body tree.
We have described a simple yet powerful way to augment the resolution of merger trees extracted from N-body simulations of structure formation by grafting in high resolution branches generated using the PCH algorithm.
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In Section 2 we describe our method for augmenting the resolution of N-body merger trees, and in Section 3 we demonstrate how this approach leads to convergence in galaxy properties (specifically stellar masses are explored in this work, although our approach works for all galaxy properties).
Red lines show results for higher resolution, unaugmented (but pruned) Millennium simulation trees, blue lines show results for unaugmented (but pruned) Millennium-II simulation trees, and green lines show results for Millennium trees augmented to match the resolution of the Millennium-II trees.
Red lines show results for unaugmented (but pruned) Millennium simulation trees, blue lines show results for unaugmented (but pruned) Millennium-II simulation trees, and green lines show results for Millennium trees augmented to match the resolution of the Millennium-II trees.
To investigate these possibilities we repeat this study but instead of using trees extracted from the Millennium and Millennium-II simulation we generate a set of PCH trees matched to the resolutions of those two simulations (referring to these as 'pseudo-Millennium' and 'pseudo-Millennium-II' trees) and then attempted to augment the lower resolution trees to match the higher resolution trees.
Finally, we augment the Millennium simulation to the resolution of the Millennium-II simulation and examine whether consistent results are obtained (Section 3.3).
In this work, an arbitrary order augmented WENO-ADER scheme for the resolution of the 2D Shallow Water Equations (SWE) with geometric source term is presented and its application to other shallow water models involving non-geometric sources is explored.
In this study, the variables were screened in 12 experimental runs with the foldover augmenting method to increase the resolution of the design in addition to 6 runs at the center points, giving a total of 30 experimental runs.
However, after augmenting the Millennium trees to match the resolution of the Millennium-II trees we see that central galaxy stellar mass distributions are almost identical in Millennium and Millennium-II.
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