A new strategy to rise the accuracy of WENO schemes close to discontinuities

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

    Universidad Politécnica de Cartagena

    Cartagena, España

    ROR https://ror.org/02k5kx966

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

Publisher: International Council for Industrial and Applied Mathematics

Year of publication: 2019

Type: Conference paper

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Abstract

This work is devoted to the construction and analysis of new nonlinear optimal weights for WENO interpolation capable of raising the order of accuracy close to discontinuities. These weights are constructed using a strategy inspired by the WENO algorithm, and they work very well for kinks or jump singularities, leading to optimal theoretical accuracy. Our aim is twofold: to raise the order of accuracy near discontinuities and also in the interval which contains the kink.