Application "Flows in rarefied gases"

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Rarefied gas flows play an important role in applications like aerospace design (space shuttle reentry), vacuum engineering (material processing, pumps), or, more recently, nanotechnology. Mathematically such flows are described by the Boltzmann equation.


Contributing Groups of WIAS

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Mathematical Context

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Related main application areas

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Contact

Priv.-Doz. Dr. Wagner, Wolfgang

Weierstrass Institute for Applied Analysis and Stochastics
Mohrenstrasse 39
10117 Berlin
 
tel: ++49 (0) 30 20372 532
fax: ++49 (0) 30 20372-303
e-mail: Wolfgang.Wagner@wias-berlin.de

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Publications

 Monographs

  • J.-D. Deuschel, B. Gentz, W. König, M. VON Renesse, M. Scheutzow, U. Schmock, eds., Probability in Complex Physical Systems, in Honour of Erwin Bolthausen and Jürgen Gärtner, 11 of Springer Proceedings in Mathematics, Springer, Berlin Heidelberg, 2012, 512 pages, (conference published).

  • S. Rjasanow, W. Wagner, Stochastic Numerics for the Boltzmann Equation, 37 of Springer Series in Computational Mathematics, Springer, Berlin, 2005, xiii+256 pages, (monograph published).

 Articles in Refereed Journals

  • S. Rjasanow, W. Wagner, Stochastic weighted particle method, theory and numerical examples, , 2 (2007) pp. 461-493.

  • A.L. Garcia, W. Wagner, Generation of the Maxwellian inflow distribution, J. Comput. Phys., 217 (2006) pp. 693--708.

  • D.J. Rader, M.A. Gallis, J.R. Torczynski, W. Wagner, Direct simulation Monte Carlo convergence behavior of the hard-sphere-gas thermal conductivity for Fourier heat flow, Phys. Fluids, 18 (2006) pp. 077102/1--077102/16.

 Contributions to Collected Editions

  • D.J. Rader, M.A. Gallis, J.A. Torczynski, W. Wagner, DSMC convergence behavior for Fourier flow, in: Rarefied Gas Dynamics, Proceedings of the 24th International Symposium (Bari, Italy, 10--16 July 2004), M. Capitelli, ed., 762 of AIP Conference Proceedings, AIP Publishing Center, New York, 2005, pp. 473-478.

  • W. Wagner, Monte Carlo methods and numerical solutions, in: Rarefied Gas Dynamics, Proceedings of the 24th International Symposium (Bari, Italy, 10--16 July 2004), M. Capitelli, ed., 762 of AIP Conference Proceedings, AIP Publishing Center, New York, 2005, pp. 459-466.

 Talks, Poster

  • B. Metzger, The parabolic Anderson model: The asymptotics of the statistical moments and Lifshitz tails revisited, EURANDOM, Eindhoven, The Netherlands, December 1, 2010.

  • A. Bianchi, Elements of stochastic processes theory. The generator of a process, the Poisson equation and its solution, continuous time random walks (tutorial session), Summer School in Probability, July 6 - 10, 2009, Università di Bologna, Italy, July 7, 2009.

  • A. Bianchi, Gibbs specifications and Gibbs measures. The Gaussian case (tutorial session), Summer School in Probability, July 6 - 10, 2009, Università di Bologna, Italy, July 6, 2009.

  • W. Wagner, Stochastic algorithms in rarefied gas simulation, Scuola Superiore di Catania, Laboratory for Complex Systems, Italy, October 29, 2009.

  • W. Wagner, Acceptance-rejection techniques for the Maxwellian inflow distribution, 7th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2006), August 14 - 18, 2006, Universität Ulm, August 14, 2006.

  • W. Wagner, Stochastic models and numerical algorithms for the Boltzmann equation, Boltzmann Symposium, October 11 - 13, 2006, Ludwig-Maximilians-Universität München, Mathematisches Institut, October 12, 2006.

  • W. Wagner, Generation of the Maxwellian inflow distribution, Conference ``Direct Simulation Monte Carlo: Theory, Methods and Applications'', September 26 - 29, 2005, Santa Fe, USA, September 26, 2005.

  • W. Wagner, Stochastic models and Monte Carlo algorithms for nonlinear kinetic equations, September 10 - 29, 2005, Los Alamos National Laboratories, USA, September 12, 2005.

  • W. Wagner, Monte Carlo methods and numerical solutions, 24th International Symposium on Rarefied Gas Dynamics, July 11 - 16, 2004, Bari, Italy, July 12, 2004.

  • W. Wagner, Monte Carlo methods for nonlinear kinetic equations, Keio University, Department of Mathematics, Yokohama, Japan, October 1, 2004.

  • W. Wagner, Monte Carlo methods for nonlinear kinetic equations, Kyoto University, Department of Mathematics, Japan, October 8, 2004.

  • W. Wagner, Stochastic models and Monte Carlo algorithms for the Boltzmann equation, Kolloquium Fachbereich Mathematik, Universität Darmstadt, January 21, 2004.

  • W. Wagner, Stochastic numerics for the Boltzmann equation, 6th International Workshop on Mathematical Aspects of Fluid and Plasma Dynamics, September 19 - 23, 2004, Kyoto University, Japan, September 19, 2004.

  • W. Wagner, DSMC and the Boltzmann equation, Workshop ``Direct Simulation Monte Carlo: The Past 40 Years and the Future'', June 2 - 5, 2003, Politecnico di Milano, Italy, June 2, 2003.

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