Locally-defined high-resolution scheme for shock-capturing problems on unstructured Cartesian grids

Yoshiharu Tamaki, Taro Imamura

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we propose a new high-resolution shock-capturing scheme based on dimension-bydimension reconstruction. This scheme is intended for adaptively-refined Cartesian-based unstructured grids, and the computational cost is smaller than conventional full reconstruction schemes. In the dimension-by-dimension reconstruction, two reconstructed functions are used, and the cell-interface value is interpolated on these functions. The scheme achieves formal accuracy when combined with a new efficient flux quadrature scheme. Then the WENO procedure is introduced in the approximation of derivatives in each cell, and this prevent the derivatives from blowing up when discontinuity exists within the stencil. Finally, the present scheme is implemented in shock-capturing problems on uniform and adaptively-refined grids. The results shows better resolution than conventional MUSCL-type TVD schemes.

Original languageEnglish
Title of host publication22nd AIAA Computational Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624103667
DOIs
Publication statusPublished - 2015 Jan 1
Externally publishedYes
Event22nd AIAA Computational Fluid Dynamics Conference, 2015 - Dallas, United States
Duration: 2015 Jun 222015 Jun 26

Publication series

Name22nd AIAA Computational Fluid Dynamics Conference

Other

Other22nd AIAA Computational Fluid Dynamics Conference, 2015
CountryUnited States
CityDallas
Period15/6/2215/6/26

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

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