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A stochastic method for solving Smoluchowski's coagulation equation

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  • Kolodko, A.
  • Sabelfeld, K.
  • Wagner, W.

Abstract

This paper studies a stochastic particle method for the numerical treatment of Smoluchowski's equation governing the coagulation of particles in a host gas. Extensions of the method to the spatially inhomogeneous case are proposed. The coagulation process in an isotropic, fully developed turbulent flow is studied, and numerical examples are presented.

Suggested Citation

  • Kolodko, A. & Sabelfeld, K. & Wagner, W., 1999. "A stochastic method for solving Smoluchowski's coagulation equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 49(1), pages 57-79.
    • Handle: RePEc:eee:matcom:v:49:y:1999:i:1:p:57-79
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    References listed on IDEAS

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    1. Sabelfeld K.K. & Rogasinsky S.V. & Kolodko A.A. & Levykin A.I., 1996. "Stochastic algorithms for solving Smolouchovsky coagulation equation and applications to aerosol growth simulation," Monte Carlo Methods and Applications, De Gruyter, vol. 2(1), pages 41-88, December.
    2. Kurbanmuradov O. & Sabelfeld K. & Koluhin D., 1997. "Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Numerical Results," Monte Carlo Methods and Applications, De Gruyter, vol. 3(3), pages 199-224, December.
    3. Sabelfeld K.K. & Kurbanmuradov O., 1997. "Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows," Monte Carlo Methods and Applications, De Gruyter, vol. 3(1), pages 53-72, December.
    4. Sabelfeld, K.K., 1998. "Stochastic models for coagulation of aerosol particles in intermittent turbulent flows," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 47(2), pages 85-101.
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    1. Kolodko A. A. & Sabelfeld K. K., 2001. "Stochastic Lagrangian model for spatially inhomogeneous Smoluchowski equation governing coagulating and diffusing particles," Monte Carlo Methods and Applications, De Gruyter, vol. 7(3-4), pages 223-228, December.
    2. Sabelfeld, Karl K., 2018. "A random walk on spheres based kinetic Monte Carlo method for simulation of the fluctuation-limited bimolecular reactions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 143(C), pages 46-56.
    3. Sabelfeld K. & Kurbanmuradov O., 2000. "Coagulation of aerosol particles in intermittent turbulent flows," Monte Carlo Methods and Applications, De Gruyter, vol. 6(3), pages 211-254, December.
    4. Sabelfeld, Karl & Kolodko, Anastasia, 2003. "Stochastic Lagrangian models and algorithms for spatially inhomogeneous Smoluchowski equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 61(2), pages 115-137.
    5. Sabelfeld Karl K. & Levykin Alexander I. & Kireeva Anastasiya E., 2015. "Stochastic simulation of fluctuation-induced reaction-diffusion kinetics governed by Smoluchowski equations," Monte Carlo Methods and Applications, De Gruyter, vol. 21(1), pages 33-48, March.
    6. Wagner, Wolfgang, 2003. "Stochastic, analytic and numerical aspects of coagulation processes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 62(3), pages 265-275.
    7. Eibeck Andreas & Wagner Wolfgang, 2001. "Stochastic algorithms for studying coagulation dynamics and gelation phenomena," Monte Carlo Methods and Applications, De Gruyter, vol. 7(1-2), pages 157-166, December.
    8. Sabelfeld Karl K., 2016. "Splitting and survival probabilities in stochastic random walk methods and applications," Monte Carlo Methods and Applications, De Gruyter, vol. 22(1), pages 55-72, March.

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