@Article{AAMM-6-6,
author = {Wu, Conghai and Yang, Sujuan and Zhao, Ning},
title = {A Fifth-Order Low-Dissipative Conservative Upwind Compact Scheme Using Centered Stencil},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2014},
volume = {6},
number = {6},
pages = {830--848},
abstract = {<p style="text-align: justify;">In this paper, a conservative fifth-order upwind compact scheme using centered stencil
is introduced. This scheme uses asymmetric coefficients to achieve the upwind property
since the stencil is symmetric. Theoretical analysis shows that the proposed scheme is
low-dissipative and has a relatively large stability range. To maintain the convergence
rate of the whole spatial discretization, a proper non-periodic boundary scheme is also
proposed. A detailed analysis shows that the spatial discretization implemented with the
boundary scheme proposed by Pirozzoli [J. Comput. Phys., 178 (2001), &nbsp;pp. 81-117] is
approximately fourth-order. Furthermore, a hybrid methodology, coupling the compact
scheme with WENO scheme, is adopted for problems with discontinuities. Numerical results
demonstrate the effectiveness of the proposed scheme.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m-s3},
url = {https://global-sci.com/article/73473/a-fifth-order-low-dissipative-conservative-upwind-compact-scheme-using-centered-stencil}
}