Ergodic simulations for diffusion in random velocity fields

Monte Carlo and Quasi-Monte Carlo Methods 2006

Volumn , Issue , 2008, Pages 659-668

  Suciu, Nicolae ^a   Vamo̧s, Calin ^b   Sabelfeld, Karl ^c,d  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b ACADEMY OF ROMANIAN SCIENTISTS   (Romania)

^c WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

^d INSTITUTE OF COMPUTATIONAL MATHEMATICS AND MATHEMATICAL GEOPHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

VELOCITY;

ENSEMBLE AVERAGES; ERGODICS; INITIAL CONCENTRATION; RANDOM FIELDS; RANDOM VELOCITY FIELDS; TRADITIONAL APPROACHES;

MONTE CARLO METHODS;

EID: 53849120396     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-540-74496-2_40     Document Type: Conference Paper

References (9)

1. [CD99] J. P. Chilès and P. Delfiner. Geostatisctics: Modeling Spatial Uncertainty. Wiley, New York (1999)
2. [KKS05] P. Kramer, O. Kurbanmuradov, K. Sabelfeld. Extension of multiscale Gaussian random field simulations algorithm. Weierstrass Institute, Berlin, Preprint 1040 (2005)
3. [MM80] G. Matheron and G. de Marsily. Is transport in porous media always diffusive? Water Resour. Res., 16, 901-917 (1980)
4. [MPS93] J. Misguish, G. Pelletier, and P. Schuck (editors). Statistical Description of Transport in Plasma, Astra-And Nuclear Physics. Les Houches Series, Nova Science Publ., Inc., New York (1993)
5. [MY75] A. S. Monin and A. M. Yaglom. Statistical Fluid Mechanics: Mechanics of Turbulence. MIT Press, Cambridge, M A (1975)
6. [SVV04] N. Suciu, C. Vamoş, J. Vanderborght, H. Hardelauf, and H. Vereecken. Numerical modeling of large scale transport of contaminant solutes using the global random walk algorithm. Monte Carlo Methods and Appl., 10(2), 153-177 (2004)
7. [SV06] N. Suciu and C. Vamoş. Evaluation of overshooting errors in particle methods for diffusion by biased global random walk. Rev. Anal. Num. Th. Approx., 35, 119-126 (2006)
8. [SVE06] N. Suciu, C. Vamoş, and J. Eberhard. Evaluation of the first-order approximations for transport in heterogeneous media. Water Resour. Res., 42, W11504, doi: 10.1029/2005WR004714 (2006)
9. [SVV07] N. Suciu, C. Vamoş, and H. Vereecken. Multiple meanings of ergodicity in real life problems. In: Marinoschi, G., Ion, S., Popa, C. (ed) Proceedings of the 5th Workshop on Mathematical Modelling of Environmental and Life Sciences Problems. Rom. Acad. Publishing House, Bucharest (2007, to appear)