This paper presents a weighted compact nonlinear scheme (WCNS) with high-order
accuracy. The WCNS has the flexibility to select a numerical flux and is easily applied to …

A numerical framework of the generalized form of high order well-balanced finite difference
weighted essentially non-oscillatory (WENO) interpolation-based schemes is proposed for …

Weighted compact nonlinear schemes (WCNS) are a family of nonlinear shock capturing
schemes that are suitable for solving problems with discontinuous solutions. The schemes …

The characteristic-interpolation-based finite-difference weighted essentially non-oscillatory
(WENO) scheme, which maintains the equilibriums of velocity, pressure, and temperature, is …

The present paper proposes that reconstruction scheme and interpolation scheme can be
converted into each other through two series of adapter schemes, which include …

A novel adaptive central-upwind weighted compact nonlinear scheme (WCNS) based on an
adjusting parameter of the smoothness indicator is proposed. For the purposes of restraining …

We develop in this paper nonlinear weights for shock capturing schemes, such that the
design optimal high order is achieved regardless of any order of the critical point. In …

In this paper we present general formulation of targeted compact nonlinear scheme (TCNS)
with increasing order of accuracy. This new scheme introduces the incremental-size and …

For the simulation of compressible flow with a broadband of length scales and
discontinuities, the WENO schemes using incremental stencil sizes other than uniform ones …

在简述用于捕捉间断的非线性格式发展历程的基础上, 依托五阶精度WENO 格式,
介绍了非线性加权格式在候选模板集选取, 光滑度指标计算方法及其与非线性权的函数关系等 …