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AMR for low Mach number reacting flow

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Adaptive Mesh Refinement - Theory and Applications

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 41))

Summary

We present a summary of recent progress on the development and application of adaptive mesh refinement algorithms for low Mach number reacting flows. Our approach uses a form of the low Mach number equations based on a general equation of state that discretely conserves both mass and energy. The discretization methodology is based on a robust projection formulation that accommodates large density contrasts. The algorithm supports modeling of multicomponent systems and incorporates an operator-split treatment of stiff reaction terms. The basic computational approach is embedded in an adaptive projection framework that uses structured hierarchical grids with subcycling in time that preserves the discrete conservation properties of the underlying single-grid algorithm. We present numerical examples illustrating the application of the methodology to turbulent premixed combustion and nuclear flames in type Ia supernovae.

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Author information

Authors and Affiliations

  1. Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA

    John Bell

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  1. John Bell
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Editor information

Editors and Affiliations

  1. ASCI Flash Center Department of Astronomy and Astrophysics, University of Chicago, 5640 S. Ellis Avenue, Chicago, IL, 60637, USA

    Tomasz Plewa , Timur Linde  & V. Gregory Weirs ,  & 

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Bell, J. (2005). AMR for low Mach number reacting flow. In: Plewa, T., Linde, T., Gregory Weirs, V. (eds) Adaptive Mesh Refinement - Theory and Applications. Lecture Notes in Computational Science and Engineering, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27039-6_14

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