An adaptive multi grid approach to simulating the formation of structure from collisionless dark matter is described. MLAPM (Multi-Level Adaptive Particle Mesh) is one of the most efficient serial codes available on the cosmological “market ” today. As part of Swinburne University’s role in the development of the Square Kilometer Array, we are implementing hydrodynamics, feedback, and radiative transfer within the MLAPM adaptive mesh, in order to simulate baryonic processes relevant to the interstellar and intergalactic media at high redshift. We will outline our progress to date in applying the existing MLAPM to a study of the decay of satellite galaxies within massive host potentials. MLAPM (Multi-Level Adaptive Particle Mesh) is a publicly available C-code 1 for evolving a set of N-particles under their mutual gravity within a cosmological framework. The code solves Poisson’s equation on a hierarchy of nested grids; the entire computational volume is covered by one cubic domain grid, while refined regions are of arbitrary shape and adjusted to the actual density field at each major time-step in order to follow the real distribution of particles at all times. An example of MLAPM in action is shown in Figure 1. The left panel shows all parti
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