For compressible flow simulations involving both turbulence and shockwaves, the
competing requirements render it challenging to develop high-order numerical methods …

For compressible flows characterized by a wide range of flow length scales and
discontinuities, it is still an open challenge to design the optimal schemes, which resolve the …

The high-order low-dissipation shock-capturing scheme is important for compressible fluid
simulations, in particular for cases where both shock and turbulence present. However, the …

The TENO-family schemes (Fu et al. in J Comput Phys 305: 333–359, 2016) have been
demonstrated to perform well for compressible gas dynamics and turbulent flow predictions …

For classical WENO/TENO reconstructions, the high-order polynomial interpolation is one of
the main building-blocks for constructing the numerical fluxes. However, due to the inherent …

The high-order shock-capturing scheme is one of the main building blocks for the simulation
of the compressible fluid characterized by strong shockwaves and broadband length scales …

In this paper, a new family of very-high-order TENO schemes with adaptive accuracy order
and adaptive dissipation control (TENO-AA) is proposed. The new framework allows for …

The recently proposed high-order TENO scheme [Fu et al., Journal of Computational
Physics, 305 (2016): 333-359] has shown great potential in predicting complex fluids owing …

We present a systematic framework for the evaluation of shock sensors in high-resolution
hybrid compact/WENO algorithms, with the goals of testing robustness and establishing …

Abstract Runge–Kutta discontinuous Galerkin (RKDG) methods are widely used for solving
hyperbolic conservation laws, supplemented with troubled cell indicators and limiters to …