Browsing by Author "Müller, Matthias S."

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    Fast algorithms for the simulation of granular particles
    (2001) Müller, Matthias S.; Herrmann, Hans J. (Prof. Dr.)
    The goal of this work was the design, implementation and analysis of a fast simulation method for granular materials. The starting point was the Direct Simulation Monte Carlo Method. Since DSMC was designed for the field of dilute gas flow, it has of course several limitations for dense flows. For dense systems several improvements like CBA, CUBA or ESMC exist. The most serious disadvantage of DSMC for dissipative systems is the missing excluded volume''. In contrast to all other DSMC variations, is was not the collision step that has been modified , but the advection step. In order to be more efficient than molecular dynamics, which naturally incorporates the excluded volume, the excluded volume is only enforced on a coarse grained level. Although there have been large modifications to the original DSMC algorithms, HSMC is identical to DSMC in the limit of dilute systems. In order to test and verify the algorithm several test cases have been selected. Every test case covers specific properties of granular materials. As a whole they cover a wide spectrum of phenomena. Among the test cases are homogeneous cooling, the clustering instability, shear flow, pipe flow and heap formation.