Development of a highly accurate interpolation method for mesh-free flow simulations I. Integration of gridless, particle and CIP methods

International Journal for Numerical Methods in Fluids

Volumn 30, Issue 8, 1999, Pages 957-976

  Tanaka, Nobuatsu ^a  

^a TOSHIBA CORPORATION   (Japan)

Author keywords

CIP; CIVA; Gridless method; Local co ordinates; Particle method; Time marching scheme

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; INTERPOLATION; LEAST SQUARES APPROXIMATIONS;

GRIDLESS METHODS; MESH FREE CUBIC INTERPOLATION; PARTICLE METHODS;

COMPUTATIONAL FLUID DYNAMICS;

COMPUTATIONAL FLUID DYNAMICS; PARTICLE MOTION;

COMPUTATIONAL FLUID DYNAMICS; PARTICLE MOTION;

EID: 0033177887     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19990830)30:8<957::AID-FLD868>3.0.CO;2-7     Document Type: Article

References (17)

1. J.T. Batina, 'A gridless Euler/Navier-Stokes solution algorithm for complex aircraft applications', AIAA Paper 93-0333, 1993.
2. N. Satofuka, K. Morinishi and A. Nakao, 'Parallel implementation of gridless algorithm for computational fluid dynamics', in N. Satofuka, J. Periaux and A. Ecer (eds.), Parallel Computational Fluid Dynamics, North-Holland, Elsevier, 1995, pp. 349-356.
3. F.H. Harlow, 'The particle-in-cell method for fluid dynamics', in B. Alder, S, Fernbach and M. Rotenberg (eds.), Methods in Computational Physisc, vol. 3, Academic Press, New York, 1964, p. 319.
4. A.J. Chorin, 'Numerical study of slightly viscous flow', J. Fluid Mech., 59, 785-796 (1973).
5. J.J. Monaghan, 'An introduction to SPH', Comput. Phys. Common., 48, 374 (1988).
6. S. Koshizuka and Y. Oka, 'Moving particle semi-implicit method for fragmentation of incompressible fluid', Nucl. Sci. Eng., 123, 421-434 (1996).
7. T. Yabe, T. Ishikawa and P.Y. Wang, 'A universal solver for hyperbolic equations by cubic-polynomial interpolation II. Two- and three-dimensional solvers', Comput. Phys. Common., 66, 233-242 (1991).
8. T. Aoki, 'CIP advection on triangular mesh', CIPUS Annual Report, CIPUS-A94, Tokyo Institute of Technology on June 1, 1995, pp. 12-16.
9. N. Tanaka, 'High accuracy gridless algorithm and the application to particle methods', Proc. JSCES Conf. on Computational Engineering and Science, No. 1-1, 7-10, 1996 (in Japanese).
10. N. Tanaka, 'Integration of the gridless, particle and CIP methods', Proc. JSME 74th Spring Annual Meeting (V), No. 97-1, 10-11, 1997 (in Japanese).
11. O.C. Zienkiewicz, The Finite Element Method (3rd edn.), McGraw-Hill, New York, 1977.
12. G.P. Bazeley, Y.K. Cheung, B.M. Irons and O.C. Zienkiewicz, 'The triangular elements in bending-conforming and non-conforming solutions', Proc. Conf. Matrix Methods in Structural Mechanics, Air Force Institute of Technolnogy, Wright Patterson AFB, OH, 1965.
13. R.M. Smith and A.G. Hutton, 'The numerical treatment of advection: a performance comparison of current methods', Numer. Heat Transf., 5, 439-461 (1982).
14. W. Schonauer, K. Raith and G. Glotz, 'The self adaptive solution of non-linear 2D boundary value problems in a rectangular domain', Proc. Int. Conf. Numerical Methods in Laminar and Turbulent Flow, Venice, Prineridge, 1981.
15. M. Kaneyama and T. Tanahashi, 'Numerical analysis of forced convection in a square cavity using GSMAC-CIP finite element method', J. Jpn. Soc. Simul. Tech., 16, (1997) (in Japanese).
16. H. Makuuchi, T. Aoki and T. Yabe, 'Implicit CIP (cubic-interpolated propagation) method in two dimensions', JSME Int. J., 40, 365-376 (1997).
17. H.Y. Yoon, S. Koshizuka and Y. Oka, 'A particle-gridless hybrid method for incompressible flows', J. Numer. Methods Fluids, in press.