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
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Hiroshi Isshiki, IMA, Institute of Mathematical Analysis, Osaka, Japan
Toshio Takiya, Hitachi Zosen Corporation, Osaka, Japan
Hideyuki Niizato, Hitachi Zosen Corporation, Osaka, Japan
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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.
Formation of Star, Gravitational Force, Gas, Particle, Fluid Dynamic Approximation
To cite this article
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.
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