Some aspect of the motion of gas or vast-number-of-particles distributed in cosmic space under action of the gravitational force may be treated as a fluid dynamic motion without pressure. Generalized Integral representation Method (GIRM) is applied to fluid dynamic motion of gas or particles to obtain the accurate numerical solutions. In the present theory, the relativistic effects are neglected. The numerical results by GIRM are compared with the solutions by Finite Difference Method (FDM). Spreading and merging of gas or particles and effects of initial velocity distribution are studied numerically. GIRM solutions give reasonable and accurate solutions.
| Published in |
Applied and Computational Mathematics (Volume 4, Issue 3-1)
This article belongs to the Special Issue Integral Representation Method and its Generalization |
| DOI | 10.11648/j.acm.s.2015040301.12 |
| Page(s) | 15-39 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Formation of Star, Gravitational Force, Gas, Particle, Fluid Dynamic Approximation
| [1] | S. S. Kamisov, Cosmology http://www1.maths.leeds.ac.uk/~serguei/teaching/cosmology.pdf |
| [2] | Lauro Moscardini and Klaus Dolag, Cosmology with numerical simulations, http://icc.ub.edu/~liciaverde/IC/como.pdf |
| [3] | Gustavo Yepes, Cosmological Simulations of the Universe And the Computational Challenges, http://www.clues-project.org/talks/esac_grid_public.pdf |
| [4] | H. Isshik, S. Nagata, Y. Imai, “Solution of a diffusion problem in a non-homogeneous flow and diffusion field by the integral representation method (IRM)”, Applied and Computational Mathematics, 3(1), (2014), pp. 15-26. http://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140301.13.pdf |
| [5] | H. Isshiki, Theory and application of the generalized integral representation method (GIRM) in advection diffusion problem, Applied and Computational Mathematics, 3(4), (2014), pp. 137-149. http://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140304.15.pdf |
| [6] | H. Isshiki, A method for Reduction of Spurious or Numerical Oscillations in Integration of Unsteady Boundary Value Problem, AJET, 2, 3, (2014), pp. 190-202. file:///C:/Users/l/Downloads/1360-5725-2-PB%20(2).pdf |
| [7] | H. Isshiki, “Improvement of Stability and Accuracy of Time-Evolution Equation by Implicit Integration”, Asian Journal of Engineering and Technology (AJET), Vol. 2, No. 2 (2014), pp. 1339–160. file:///C:/Users/l/Downloads/1205-5161-1-PB.pdf |
APA Style
Hiroshi Isshiki, Toshio Takiya, Hideyuki Niizato. (2015). Application of Generalized Integral Representation (GIRM) Method to Fluid Dynamic Motion of Gas or Particles in Cosmic Space Driven by Gravitational Force. Applied and Computational Mathematics, 4(3-1), 15-39. https://doi.org/10.11648/j.acm.s.2015040301.12
ACS Style
Hiroshi Isshiki; Toshio Takiya; Hideyuki Niizato. Application of Generalized Integral Representation (GIRM) Method to Fluid Dynamic Motion of Gas or Particles in Cosmic Space Driven by Gravitational Force. Appl. Comput. Math. 2015, 4(3-1), 15-39. doi: 10.11648/j.acm.s.2015040301.12
AMA Style
Hiroshi Isshiki, Toshio Takiya, Hideyuki Niizato. Application of Generalized Integral Representation (GIRM) Method to Fluid Dynamic Motion of Gas or Particles in Cosmic Space Driven by Gravitational Force. Appl Comput Math. 2015;4(3-1):15-39. doi: 10.11648/j.acm.s.2015040301.12
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Download@article{10.11648/j.acm.s.2015040301.12,
author = {Hiroshi Isshiki and Toshio Takiya and Hideyuki Niizato},
title = {Application of Generalized Integral Representation (GIRM) Method to Fluid Dynamic Motion of Gas or Particles in Cosmic Space Driven by Gravitational Force},
journal = {Applied and Computational Mathematics},
volume = {4},
number = {3-1},
pages = {15-39},
doi = {10.11648/j.acm.s.2015040301.12},
url = {https://doi.org/10.11648/j.acm.s.2015040301.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.s.2015040301.12},
abstract = {Some aspect of the motion of gas or vast-number-of-particles distributed in cosmic space under action of the gravitational force may be treated as a fluid dynamic motion without pressure. Generalized Integral representation Method (GIRM) is applied to fluid dynamic motion of gas or particles to obtain the accurate numerical solutions. In the present theory, the relativistic effects are neglected. The numerical results by GIRM are compared with the solutions by Finite Difference Method (FDM). Spreading and merging of gas or particles and effects of initial velocity distribution are studied numerically. GIRM solutions give reasonable and accurate solutions.},
year = {2015}
}
TY - JOUR T1 - Application of Generalized Integral Representation (GIRM) Method to Fluid Dynamic Motion of Gas or Particles in Cosmic Space Driven by Gravitational Force AU - Hiroshi Isshiki AU - Toshio Takiya AU - Hideyuki Niizato Y1 - 2015/02/12 PY - 2015 N1 - https://doi.org/10.11648/j.acm.s.2015040301.12 DO - 10.11648/j.acm.s.2015040301.12 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 15 EP - 39 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.s.2015040301.12 AB - Some aspect of the motion of gas or vast-number-of-particles distributed in cosmic space under action of the gravitational force may be treated as a fluid dynamic motion without pressure. Generalized Integral representation Method (GIRM) is applied to fluid dynamic motion of gas or particles to obtain the accurate numerical solutions. In the present theory, the relativistic effects are neglected. The numerical results by GIRM are compared with the solutions by Finite Difference Method (FDM). Spreading and merging of gas or particles and effects of initial velocity distribution are studied numerically. GIRM solutions give reasonable and accurate solutions. VL - 4 IS - 3-1 ER -
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