The IIM for the solution of hyperbolic conservation laws

  1. Juan Ruiz Álvarez 1
  1. 1 Universidad Politécnica de Cartagena
    info

    Universidad Politécnica de Cartagena

    Cartagena, España

    ROR https://ror.org/02k5kx966

Actas:
9th International Congress on Industrial and Applied Mathematics (ICIAM 2019)

Editorial: International Council for Industrial and Applied Mathematics

Año de publicación: 2019

Tipo: Aportación congreso

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Resumen

This work is devoted to the construction and analysis of a new finite volumen algorithm for the solution of hyperbolic conservation laws. It is inspired by Harten’s ENO subcell resolution strategy. The reconstruction of the fluxes is performed using the high order accuracy interpolation based on the IIM introduced in S. Amat, Z. Li, J. Ruiz, Journal of Scientific Computing (2014), which allows to prevent the smearing of contact discontinuities without using extrapolation.