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Analysis of Transport Processes for Layered Porous Materials Used in Industrial Applications

In: Mathematics — Key Technology for the Future

Author

Listed:
  • H. Neunzert

    (Institute of Industrial Mathematics)

  • A. Zemitis

    (Institute of Industrial Mathematics)

  • K. Velten

    (Institute of Industrial Mathematics)

  • O. Iliev

    (Institute of Industrial Mathematics)

Abstract

This work was aimed at the development of mathematical models and corresponding numerical solution and parameter estimation procedures which are needed as a basis for the computer-aided design of layered porous materials for industrial applications (e.g., hygienic products, technical textiles). The applications lead to nonlinear partial differential equations which must be solved in complex 3D geometries in many cases. Additionally, they may involve saturated/unsaturated flow, coupled flow and deformation problems, swelling particles, large jumps of the material parameters at the interfaces, convection dominance and complex boundary conditions. We introduce a generic mathematical model for layered porous materials, discuss some of the numerical aspects with an emphasis on 3D geometry description and present example applications.

Suggested Citation

  • H. Neunzert & A. Zemitis & K. Velten & O. Iliev, 2003. "Analysis of Transport Processes for Layered Porous Materials Used in Industrial Applications," Springer Books, in: Willi Jäger & Hans-Joachim Krebs (ed.), Mathematics — Key Technology for the Future, pages 243-251, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55753-8_20
    DOI: 10.1007/978-3-642-55753-8_20
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