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1 2009

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A Contribution to the Nature of Periodic Boundary Conditions

Müller M., Ostermeyer G.-P.

Machine Dynamics Problems

2009

Vol. 33, No. 2

74-78

Many dynamical systems are characterized by the property that the system-determining processes may occur on different scales. Not seldom the model then contains very different dynamical processes, each of them formulated on another length- or timescale. In order to keep the numerical effort small, for those systems the implementation of periodic boundary conditions is a common approach. Some of those systems are additionally determined by anisotropy or preferred directions. For such problems a modified structure of periodic boundary conditions can be helpful to preserve the representational character the system area is bound to. This paper firstly dedicates to the problem of preferred directions. This is followed by the explanation of certain modified periodic boundary conditions and a discussion of their respective manifolds' properties.