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Domain Decomposition Techniques and Hybrid Multiscale Methods for Kinetic Equations

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

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  • G. Dimarco

    (University of Ferrara, Dipartimento di Matematica)

  • L. Pareschi

    (University of Ferrara, Department of Mathematics)

Abstract

In this note we consider the development of a domain decomposition scheme directly obtained from the multiscale hybrid scheme described in [7]. The basic idea is to couple macroscopic and microscopic models in all cases in which the macroscopic model does not provide correct results. We will show that it is possible to view a Boltzmann–Euler domain decomposition method as a subset of the hybrid scheme [7], if we impose the value of the relaxation parameter equal to zero in some regions of the computational domain. Applications to the two-dimensional BGK equation is presented to show the performance of the method.

Suggested Citation

  • G. Dimarco & L. Pareschi, 2008. "Domain Decomposition Techniques and Hybrid Multiscale Methods for Kinetic Equations," Springer Books, in: Sylvie Benzoni-Gavage & Denis Serre (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 457-464, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75712-2_43
    DOI: 10.1007/978-3-540-75712-2_43
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