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

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 …

Developing accurate, efficient and robust shock-capturing schemes on non-uniform grids
remains challenging particularly when facing strong non-uniformity. Thus, we extend the …

First, a new reconstruction strategy is proposed to improve the accuracy of the fifth-order
weighted essentially non-oscillatory (WENO) scheme. It has been noted that conventional …

High-accuracy and stable simulations of compressible flows have been highly demanded in
many engineering situations. However, it remains a challenging task due to the complicated …

The non-polynomial THINC (tangent of hyperbola for interface capturing) scheme has been
reported to show both numerical simplicity and high fidelity for resolving contact interfaces …

A class of high-order shock-capturing schemes, P n T m-BVD (Deng et al., 2019; Deng et al.,
2020) schemes, have been devised to solve the Euler equations with substantially reduced …