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

Discretization of the convection term in a three-cell compact stencil has been widely used in
Computational Fluid Dynamics (CFD) of engineering because the second-order …

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 scale-resolving simulation of high speed compressible flow through direct numerical
simulation (DNS) or large eddy simulation (LES) requires shock-capturing schemes to be …

Although conventional total-variation-diminishing schemes can capture discontinuities with
essentially non-oscillatory properties and are nominal of second-order accuracy in smooth …

Based on the fifth-order scheme in our previous work (Deng et. al (2019)[28]), a new
framework of constructing very high order discontinuity-capturing schemes is proposed for …

This paper presents a gradient-based reconstruction approach for simulations of
compressible single and multi-species Navier–Stokes equations. The novel feature of the …

Solving compressible flows containing both smooth and discontinuous flow structures still
remains a big challenge for finite volume methods, especially on unstructured grids where …

Numerical simulations of high-speed compressible flows remain challenging in engineering
as the appearance of shock waves poses difficulties for high-resolution schemes as well as …

This work develops a new finite volume convection scheme and open-source library for
convection-dominated problems on unstructured grids. The formulated reconstruction …