A smoothing scheme for reducing field anisotropy in N-body simulation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Anisotropy, Data Smoothing, Finite Difference Theory, Many Body Problem, Poisson Equation, Self Consistent Fields, Boundary Conditions, Fourier Series, Gravitational Collapse, Truncation Errors

Scientific paper

A method is proposed to reduce the field anisotropy in N-body calculations arising from the discretization of Poisson's equation in a particle-mesh scheme. Specifically, the mass is split (in addition to that employed in the mass assignment algorithm) over neighboring points to create compensating higher-order multipoles. Improvements by factor 2 has been observed in the field calculations, and spurious geometric effects in the example of a 4000 particle free-fall collapse have been reduced.

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