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Adaptive Computation of Reactive Flows with Local Mesh Refinement and Model Adaptation

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Malte Braack

    (Universität Heidelberg, Institut für Angewandte Mathematik)

  • Alexandre Ern

    (Cermics, Ecole nationale des ponts et chaussées)

Abstract

Summary An adaptive method for reactive flows involving locally refined meshes and different types of diffusion models is proposed. Starting with a less exact diffusion model, the model is changed locally throughout the computational domain to a more accurate and much more expensive model. An a posteriori error estimator provides reliable information on where to refine the mesh and where to adapt the model. Discretization and modeling errors are equilibrated.

Suggested Citation

  • Malte Braack & Alexandre Ern, 2004. "Adaptive Computation of Reactive Flows with Local Mesh Refinement and Model Adaptation," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 159-168, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_13
    DOI: 10.1007/978-3-642-18775-9_13
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