TY - GEN
T1 - Locally-defined high-resolution scheme for shock-capturing problems on unstructured Cartesian grids
AU - Tamaki, Yoshiharu
AU - Imamura, Taro
N1 - Publisher Copyright:
© 2015, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85085847936&partnerID=8YFLogxK
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U2 - 10.2514/6.2015-3194
DO - 10.2514/6.2015-3194
M3 - Conference contribution
AN - SCOPUS:85085847936
SN - 9781624103667
T3 - 22nd AIAA Computational Fluid Dynamics Conference
BT - 22nd AIAA Computational Fluid Dynamics Conference
PB - American Institute of Aeronautics and Astronautics Inc, AIAA
T2 - 22nd AIAA Computational Fluid Dynamics Conference, 2015
Y2 - 22 June 2015 through 26 June 2015
ER -