Bibliografía

1

Mar Serrano and Pep Español.
Thermodynamically consistent mesoscopic fluid particle model.
Physical Review E, 64(4):046115, Sep 2001.

2

H A Diels.
Die Fragmente der Vorsokratiker.
Weidmann, Berlín, Alemania, 2 edition, 1903.

3

L. D. Landau and E. M. Lifshitz.
Fluid Mechanics, Second Edition: Volume 6 (Course of Theoretical Physics).
Course of theoretical physics / by L. D. Landau and E. M. Lifshitz, Vol. 6. Butterworth-Heinemann, 2 edition, 1987.

4

Frank M. White.
Viscous fluid flow.
McGraw-Hill Higher Education, 2006.

5

J J Monaghan.
Smoothed particle hydrodynamics.
Reports on Progress in Physics, 68(8):1703, 2005.

6

Atsuyuki Okabe, Barry Boots, Kokichi Sugihara, and Sung Nok Chiu.
Spatial tessellations: Concepts and applications of Voronoi diagrams.
Probability and Statistics. Wiley, Nueva York, NY, EEUU, 2 edition, 2000.

7

CGAL.
CGAL web site, 2011.
http://www.cgal.org.

8

B. Stroustrup.
The C++ programming language:.
Addison-Wesley, 2000.

9

D. Yang.
C++ and object-oriented numeric computing for scientists and engineers.
Springer, 2001.

10

William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery.
Numerical recipes in C (2 $\mathrm{nd}$ ed.): the art of scientific computing.
Cambridge University Press, Nueva York, NY, EEUU, 1992.

11

K Eriksson, D Estep, P Hansbo, and C Johnson.
Computational Differential Equations.
Studentlitteratur, Lund, Suecia, 1996.

12

Max Wardetzky, Saurabh Mathur, Felix Kälberer, and Eitan Grinspun.
Discrete laplace operators: no free lunch.
In Proceedings of the fifth Eurographics symposium on Geometry processing, pages 33-37, Aire-la-Ville, Suiza, 2007. Eurographics Association.

13

Max Wardetzky.
Convergence of the cotangent formula: An overview.
In A I Bobenko, John M Sullivan, Peter Schröder, and Günter Ziegler, editors, Discrete Differential Geometry. Birkhäuser, Basilea, Alemania, 2008.

14

Pep Español and Mar Serrano.
Voronoi fluid particles & tessellation fluid dynamics.
In Rien van de Weijgaert, Gert Vegter, Jelle Ritzerveld, and Vincent Icke, editors, Tessellations in the Sciences Virtues, Techniques and Applications of Geometric Tilings. Kluwer/Springer, 2009.

15

L. B. Lucy.
A numerical approach to the testing of the fission hypothesis.
Astronomical Journal, 82:1013-1024, 1977.

16

R. A. Gingold and J. J. Monaghan.
Smoothed particle hydrodynamics - Theory and application to non-spherical stars.
Mon. Not. Roy. Astron. Soc., 181:375-389, 1977.

17

J. J. Monaghan.
Smoothed particle hydrodynamics.
Annual Review of Astronomy and Astrophysics, 30:543-574, 1992.

18

D. Duque and P. Español.
Discrete differential operators for Voronoi particle dynamics.
Proceeding of the 5th SPHERIC Workshop, 2010.

19

D. Duque and P. Español.
A maximum entropy method for particle simulations.
In Thomas Rung and Christian Ulrich, editors, 6$^th$ International SPHERIC Workshop. Schriftenreihe Shiffbau, Hamburgo, Alemania, 2011.

20

Volker Springel.
E pur si muove: Galilean-invariant cosmological hydrodynamical simulations on a moving mesh.
Monthly Notices of the Royal Astronomical Society, 401(2):791-851, 2010.

21

M Serrano, P Español, and I Zúñiga.
Voronoi fluid particle model for Euler equations.
JOURNAL OF STATISTICAL PHYSICS, 121(1-2):133-147, OCT 2005.
1st International Conference for Mesoscopic Methods in Engineering and Science (ICMMES), Braunschweig, GERMANY, JUL 25, 2004-JUL 30, 2005.

22

S. Hess and V. Springel.
Particle hydrodynamics with tessellation techniques.
arXiv:0912.0629 [astro-ph], April 2010.

23

M. Serrano.
Comparison between smoothed dissipative particle dynamics and Voronoi fluid particle model in a shear stationary flow.
Physica A: Statistical Mechanics and its Applications, 362(1):204-209, March 2006.

24

Pep Español and Ignacio Zúñiga.
On the definition of discrete hydrodynamic variables.
The Journal of Chemical Physics, 131(16):164106+, 2009.

25

Pep Español, Jesus G. Anero, and Ignacio Zúñiga.
Microscopic derivation of discrete hydrodynamics.
JOURNAL OF CHEMICAL PHYSICS, 131(24), DEC 28 2009.

26

GiD.
GiD 10 Reference Manual, 2011.

27

Mikhail Belkin, Jian Sun, and Yusu Wang.
Discrete laplace operator on meshed surfaces.
In Proceedings of the twenty-fourth annual symposium on Computational geometry, SCG '08, pages 278-287, New York, NY, USA, 2008. ACM.

28

Qiang Du, Vance Faber, and Max Gunzburger.
Centroidal voronoi tessellations: Applications and algorithms.
SIAM Review, 41(4):637+, 1999.

29

R. A. Nicolaides.
Direct discretization of planar Div-Curl problems.
SIAM Journal on Numerical Analysis, 29(1):32+, 1992.

30

Kerson Huang.
Statistical mechanics / Kerson Huang.
Wiley, 2nd ed. edition, 1987.

31

M. Arroyo and M. Ortiz.
Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods.
International Journal for Numerical Methods in Engineering, 65(13):2167-2202, 2006.

32

V T Rajan.
Optimality of the delaunay triangulation in $R^d$ .
Discrete and Computational Geometry, 12(2):189-202, 1994.

33

C J Cyron, M Arroyo, and M Ortiz.
Smooth, second order, non-negative meshfree approximants selected by maximum entropy.
International Journal for Numerical Methods in Engineering, 79(13):1605-1632, 2009.

34

Mark Galassi, Jim Davies, James Theiler, Brian Gough, Gerard Jungman, Michael Booth, and Fabrice Rossi.
Gnu Scientific Library: Reference Manual.
Network Theory Ltd., 3 edition, 2003.

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