The convergence of the SPH method

Computers and Mathematics with Applications

Volumn 35, Issue 1-2, 1998, Pages 95-102

  Di Lisio, R ^a   Grenier, E ^b   Pulvirenti, M ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b CNRS   (France)

Author keywords

Gas dynamics; Lagrangian dynamics; Numerical analysis; Particle numerical methods

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; GAS DYNAMICS; HYDRODYNAMICS;

EULER EQUATIONS; LAGRANGIAN DYNAMICS; POLYTROPIC FLUID; SMOOTHED PARTICLE HYDRODYNAMICS METHOD;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0031629697     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(97)00260-5     Document Type: Article

References (7)

1. L. Lucy, A numerical approach to testing the fission hypothesis, Astron. J. 82, 1013 (1977).
2. J.J. Monaghan, Smoothed particle hydrodynamics, Ann. Rev. of Astron. and Astroph. 30, 543 (1992).
3. K. Oelschläger, On the connection between Hamiltonian many-particle systems and the hydrodynamical equations, Arch. Rat. Mech. An. 115, 297 (1991).
4. R. Di Lisio, A particle method for a self-gravitating fluid: A convergence result, Mat. Met. Appl. Sci. 18, 1083 (1995).
5. R. Di Lisio, E. Grenier and M. Pulvirenti, On the regularization of the pressure field in compressible Euler equations, Ann. Scu. Norm. Sup. Pisa (to appear).
6. R.L. Dobrushin, Prescribing a system of random variables by conditional distributions, SIAM Theory Prob. and Appl., (translated from Russian) 15, 458 (1970).
7. C. Marchioro and M. Pulvirenti, Mathematical theory of incompressible nonviscous fluids, Springer series in Applied Mathematical Sciences 96 (1994).