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FEM for Flow and Pollution Transport in a Street Canyon

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • Petr Bauer

    (FNSPE, CTU Prague)

  • Atsushi Suzuki

    (FNSPE, CTU Prague
    Kyushu University, Faculty of Mathematics)

  • Zbyněk Jaňour

    (CAS Prague, Institute of Thermomechanics)

Abstract

We develop a mathematical model of air flow and pollution transport in a 2D street canyon. The model is based on Navier–Stokes equations for viscous incompressible flow and convection–diffusion equation describing pollution transport. The solution is obtained by means of finite element method (FEM). We use the non-conforming Crouzeix–Raviart elements for velocity, the piecewise constant elements for pressure, and the piecewise linear elements for concentration. The resulting linear systems are solved by multigrid methods. We present computational studies of air flow and pollutant dispersion.

Suggested Citation

  • Petr Bauer & Atsushi Suzuki & Zbyněk Jaňour, 2010. "FEM for Flow and Pollution Transport in a Street Canyon," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 115-123, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_11
    DOI: 10.1007/978-3-642-11795-4_11
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