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

For solving time-dependent convection-dominated partial differential equations (PDEs),
which arise frequently in computational physics, high order numerical methods, including …

CFD (computational fluid dynamics) 在航空航天中的应用发展迅速, 成效斐然,
成为飞行器研制和空气动力学研究的重要手段. 但另一方面, CFD 在物理模型和计算方法等核心 …

In this article, we show that for a WENO scheme to improve the numerical resolution of
smooth waves, increasing to some extent the contribution of the substencils where the …

Abstract In Fu et al.[23], a family of high-order targeted ENO (TENO) schemes with a new
nonlinear weighting strategy has been proposed. Building upon this strategy, in the current …

In this paper, we extend the range of targeted ENO (TENO) schemes (Fu et al.(2016)[18]) by
proposing an eighth-order TENO8 scheme. A general formulation to construct the high-order …

An alternative formulation of conservative weighted essentially non-oscillatory (WENO) finite
difference scheme with the classical WENO-JS weights (Jiang et al.(2013)[6]) has been …

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 …

In this paper we introduce a general framework for defining and studying essentially
nonoscillatory reconstruction procedures of arbitrarily high order of accuracy, interpolating …

A new type of finite difference weighted essentially non-oscillatory (WENO) schemes for
hyperbolic conservation laws was designed in Zhu and Qiu (J Comput Phys 318: 110–121 …