@Article{CiCP-26-4,
author = {Lin, Fu},
title = {A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {4},
pages = {973--1007},
abstract = {<p style="text-align: justify;">With the observation that the TENO weighting strategy can explicitly distinguish smooth scales from nonsmooth scales in spectral space, in this paper, a new discontinuity indicator is proposed based on the high-order TENO paradigm [Fu et al., JCP 305(2016): 333-359]. The local flow structures are classified as smooth or nonsmooth scales, and the hybrid numerical discretization scheme is applied correspondingly, i.e. the high-order upwind linear scheme without characteristic decomposition is employed for resolving smooth scales while the nonlinear low-dissipation TENO scheme is adopted to capture discontinuities. Since the time-consuming characteristic decomposition and smoothness-indicator computation of TENO are avoided in smooth regions, the overall computational efficiency can be improved significantly. Moreover, the cut-off wavenumber separating smooth and nonsmooth scales is determined by the parameter C<sub style="white-space: normal;">T</sub>. In contrast to the thresholds of other discontinuity indicators, which are typically defined in physical space, C<sub style="white-space: normal;">T</sub>&nbsp;takes effects in wavespace rendering its high generality. A set of benchmark cases with widespread length-scales is simulated to assess the performance of the proposed discontinuity indicator and the resulting hybrid shock-capturing scheme. Compared to the monotonicity-preserving discontinuity indicator and the TVB discontinuity indicator, the proposed algorithm delivers better performance with a fixed set of parameters for all considered benchmarks.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0176},
url = {https://global-sci.com/article/79847/a-hybrid-method-with-teno-based-discontinuity-indicator-for-hyperbolic-conservation-laws}
}