An optimum time-stepping scheme forN-body simulations
نویسندگان
چکیده
منابع مشابه
An optimum time-stepping scheme for N-body simulations
We present a new time-stepping criterion for N -body simulations that is based on the true dynamical time of a particle. This allows us to follow the orbits of particles correctly in all environments since it has better adaptivity than previous time-stepping criteria used in N -body simulations. Furthermore, it requires far fewer force evaluations in low density regions of the simulation and ha...
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Leapfrog integration has been the method of choice in N-body simulations owing to its low computational cost for a symplectic integrator with second order accuracy. We introduce a new leapfrog integrator that allows for variable timesteps for each particle in large N-body simulations. Tests with single particles in fixed potentials show that it behaves as a symplectic integrator. We then examin...
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Multiple time stepping can be applied to the leapfrog/Stt ormer/Verlet integrator so as to eeect variable stepsize. The strategy maintains the symplecticness, time-reversibility, and second-order accuracy of leapfrog. This method can be applied to pairwise interactions by partitioning them into distance classes and smoothly decomposing the potential energy into the sum of potential energy funct...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 2007
ISSN: 0035-8711,1365-2966
DOI: 10.1111/j.1365-2966.2007.11427.x