A low-dissipation shock-capturing framework with flexible nonlinear dissipation control

In this work, a framework to construct arbitrarily high-order low-dissipation shock-capturing schemes with flexible and controllable nonlinear dissipation for convection-dominated problems is proposed. While set of candidate stencils incremental width constructed, each one indicated as smooth or nonsmooth by the ENO-like stencil selection procedure proposed in targeted essentially non-oscillatory (TENO) scheme (Fu et al. 2016 [9]). Rather than being discarded directly TENO schemes, candidates are filtered an extra limiter, such monotonicity-preserving (MP) limiter total variation diminishing (TVD) limiter. Consequently, reconstruction achieved assembling fluxes optimal linear weights since they either reconstructions ones which feature good non-oscillation property. A weight renormalization standard paradigm not necessary. This new concatenates concepts TENO, WENO other limiters shock-capturing, provides insight designing schemes. Through adaptation limiters, newly can be controlled separately without affecting performance regions. Based on framework, family six- eight-point critical benchmark cases involving strong discontinuities broadband fluctuations simulated. Numerical results reveal that capture sharply resolve high-wavenumber low dissipation, while maintaining desired accuracy order