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Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement

Author

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  • Buchmüller, Pawel
  • Dreher, Jürgen
  • Helzel, Christiane

Abstract

We present a WENO finite volume method for the approximation of hyperbolic conservation laws on adaptively refined Cartesian grids.

Suggested Citation

  • Buchmüller, Pawel & Dreher, Jürgen & Helzel, Christiane, 2016. "Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement," Applied Mathematics and Computation, Elsevier, vol. 272(P2), pages 460-478.
    • Handle: RePEc:eee:apmaco:v:272:y:2016:i:p2:p:460-478
    DOI: 10.1016/j.amc.2015.03.078
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    Cited by:

    1. Jiří Dostál & Vladimír Havlena, 2021. "Mixed Mesh Finite Volume Method for 1D Hyperbolic Systems with Application to Plug-Flow Heat Exchangers," Mathematics, MDPI, vol. 9(20), pages 1-18, October.
    2. Loubère, Raphaël & Turpault, Rodolphe & Bourriaud, Alexandre, 2023. "A MOOD-like compact high order finite volume scheme with adaptive mesh refinement," Applied Mathematics and Computation, Elsevier, vol. 443(C).

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