In the high-frequency region, the mixed scheme of the linear and WENO schemes is adopted with the smoothness amplification factor, which could capture high-frequency wave efficiently. Spectral analysis and numerous examples are presented to demonstrate the robustness and performance of the hybrid ...
To enhance the performance of the third-order weighted essentially non-oscillatory (WENO) scheme on the four-point stencil, a new hybrid central-type scheme is proposed in this paper. Developments are conducted in the following two aspects. First, a new fourth-order central WENO scheme, named ...
In this paper, a new kind of hybrid method based on the weighted essentially non-oscillatory (WENO) type reconstruction is proposed to solve hyperbolic conservation laws. Comparing the WENO schemes with/without hybridization, the hybrid one can resolve more details in the region containing multi-sca...
And some other famous WENO schemes are proposed for specifical computation needs, such as optimized WENO schemes for solving linear waves with discontinuity [23], monotonicity preserving WENO schemes for very high order accuracy simulation [2], hybrid compact WENO schemes for computing shock and ...
An innovative approach is proposed to construct a WENO (Weighted Essentially Non-Oscillatory) scheme by using a hybrid power-exponential polynomial interpolation. As a result, the Taylor series expansions of the weight functions around the smooth regions can be analytically determined. These Taylor expa...
Similar with hybrid schemes, several adaptive central-upwind WENO schemes have been designed in [15,16] by recovering the non-dissipative central scheme in smooth region. However, as shown in a very recent work [16], the adaptive central-upwind schemes may not be robust enough to suppress num...
A new adaptive weighted essentially non-oscillatory WENO-$heta$ scheme in the context of finite difference is proposed. Depending on the smoothness of the large stencil used in the reconstruction of the numerical flux, a parameter $heta$ is set adaptively to switch the scheme between a 5th-...
To reduce the uncertainty introduced by the noise data in classification problem, Yao et al.15 propose a new hybrid integrated credit scoring model based on stacked noise detection and weight assignment to remove or adjust the noise data in the original data 1School of Microelectronics, ...
A hybrid scheme is developed for direct numerical simulations of hypersonic flows over a blunt body. The scheme switches to the first-order AUSMPW+ scheme
WENO schemeHyperbolic conservation lawsSmoothness indicatorIn this article, we introduce a class of fifth-order WENO schemes based on Newton interpolation polynomial, termed WENO-NIP schemes. We develop a class of smoothness indicators that measure the local smoothness of a function in a stencil, ...