The prediction of the laminar-turbulent transition of boundary layers is critically important to
the development of hypersonic vehicles because the transition has a first-order impact on …

In this paper, we design a class of high order accurate nonlinear weighted compact
schemes that are higher order extensions of the nonlinear weighted compact schemes …

The simulation of turbulent compressible flows requires an algorithm with high accuracy and
spectral resolution to capture different length scales, as well as nonoscillatory behavior …

This article presents a family of very high-order non-uniform grid compact finite difference
schemes with spatial orders of accuracy ranging from 4th to 20th for the incompressible …

SUMMARY A high-order finite volume scheme is developed to numerically integrate a fully
nonlinear and weakly dispersive set of Boussinesq-type equations (the so-called Serre …

In this work, a new fourth order compact approximation is derived for Riemann–Liouville
space fractional derivatives. Modified wave numbers are obtained for various …

A flat plate in pitching motion is considered as a fundamental source of locomotion in the
general context of marine propulsion. The experimental as well as numerical investigation is …

In this paper, we develop a class of nonlinear compact schemes based on our previous
linear central compact schemes with spectral-like resolution (X. Liu et al., 2013 [20]). In our …

The paper presents a solution algorithm for variable density non-isothermal flows based on
a high-order compact difference approximation combined with the projection method …

The paper presents a novel, efficient and accurate algorithm for laminar and turbulent flow
simulations. The spatial discretisation is performed with help of the compact difference …