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
Volume 4, Issue 3-1, June 2015, Pages: 15-39
Received: Dec. 22, 2014; Accepted: Dec. 25, 2014; Published: Feb. 12, 2015
Views 2970      Downloads 109
Authors
Hiroshi Isshiki, IMA, Institute of Mathematical Analysis, Osaka, Japan
Toshio Takiya, Hitachi Zosen Corporation, Osaka, Japan
Hideyuki Niizato, Hitachi Zosen Corporation, Osaka, Japan
Article Tools
Follow on us
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.
Keywords
Formation of Star, Gravitational Force, Gas, Particle, Fluid Dynamic Approximation
To cite this article
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, Applied and Computational Mathematics. Special Issue: Integral Representation Method and its Generalization. Vol. 4, No. 3-1, 2015, pp. 15-39. doi: 10.11648/j.acm.s.2015040301.12
References
[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
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186