N-body
N-Body visualizations
... The N-body problem has elements of both. The N- body problem is a set of N particles representing stars that move in response to the ...
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A sparse octree gravitational N-body code that runs entirely on the GPU processor
... the GPU partially lifts this bottleneck [17, 18]. This method turns out to be effective for shared time-step integration algorithms, but is less effective for block time-step implementations. In a block time-step ...
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Numerical Investigations of a New N body Simulation Method
... Numerical investigation of a new similarity method (the Aldar-Kose method) for N-body simulations is described. Us- ing this method we have carried out numerical simulations for two tasks: 1) Calculation of ...
6
Structure formation by fifth force : power spectrum from N body simulations
... The validity and limitation of the approximation present in the above equations, in particular neglecting the time derivatives, have been extensively discussed in Li & Zhao (2009). We emphasize that these ...
5
Connecting orbits for Newtonian like N body problems
... In the paper of Rabinowitz [], we find the first substantial use of variational methods to study heteroclinic orbits for Hamiltonian systems. The perspective of that work appears influential for a number of papers by ...
6
A hybrid SPH/N-body method for star cluster simulations
... SEREN has a variety of tree-opening criteria that can be selected at compilation time. For most simulations in this paper, we use the eigenvalue multipole-acceptance criterion (MAC; Hubber et al. 2011) because it has ...
18
Phase Transition Models based on A N-Body Complex Statistics
... ecently theories and applications of topological order have attracted significant attentions in the areas of condensed-matter physics as well as in other branches of mathematics and physics. This long-range quantum ...
5
On the Semianalytical Two Body Regularization in N Body Simulations
... precision demands either decreasing the integration timestep or the transformation to another coordinates in which the equations have no singularity [6] [7]. The current paper describes the final adjusting of a ...
6
Achieving convergence in galaxy formation models by augmenting N-body merger trees
... cosmological N-body simulation merger trees, it is often the case that those trees have insufficient resolution to give converged galaxy ...of N-body merger trees by grafting in branches of ...
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N Body Simulations of Gas Free Disc Galaxies with SMBH Seed in Binary Systems
... We have shown the outcome of N-body simulations of the interactions of two disc galaxies without gas with the same mass. Both disc galaxies have halos of dark matter, central bulges and initial supermassive ...
18
Block time step storage scheme for astrophysical N-body simulations
... The BTS scheme opens a new approach for N-body simulations involving hierarchical architectures. The stability of planetary systems in star clusters, for example, is of fundamental importance in understand ...
12
Accuracy and Computational Cost of Interpolation Schemes While Performing N Body Simulations
... The continuous approximations play a vital role in N-body simulations. We constructed three dif- ferent types, namely, one-step (cubic and quintic Hermite), two-step, and three-step Hermite in- terpolation ...
10
N body dynamics on closed surfaces : the axioms of mechanics
... A major challenge for our understanding of the mathematical basis of particle dynamics is the formulation of N-body and N-vortex dynamics on Riemann surfaces. In this paper we show how the two ...
18
Integrating an N -Body Problem with SDC and PFASST
... The temporal integration in vortex methods requires the evaluation of an N-body problem for each function evaluation. This evaluation can be parallelized efficiently by a spatial distribution of the ...
9
On the geometry and behavior of n body motions
... Remark 4.12 . The first (and exact) solutions of the 3-body problem, dating back to Euler and Lagrange, are the shape invariant motions where the bodies rotate rigidly about the center of mass with constant angular ...
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Visualizing the inner structure of N-body data
... In Chapter 2, a background summary of the concepts and subject matter being used will be presented. A large part of this work is the unification of common techniques from the fields of astrophysics, visualization, ...
60
On a New Method of N Body Simulations
... surrounding the BH. The model is, as they say, the “toy” one—in the sense that the disc parameters (the mass and the rotating moment) are considered to be constants, in spite of the star-disk interactions and the gas and ...
6
Study of visualizations for n-body stellar models
... the n-body problem. The n-body problem uses Newton’s laws of motion and gravity to calculate the motions of all the objects in the system given their initial positions, masses, and ...
36
Binary Interaction Approximation to N-Body Problems
... Fig. 5 Motion of a proton initially at rest in the configuration space (left), and in the velocity space (right) for the N =122-body system. Symbols represent the initial and final position calculated with ...
5
Parallel hierarchical N-body methods
... If distances are measured from the body to i" then only certain values of () guarantee that bodies are well separated from unopened cells. As this value is even higher t[r] ...
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