First, a new reconstruction strategy is proposed to improve the accuracy of fifth-order weighted essentially non-oscillatory (WENO) scheme. It has been noted that conventional WENO schemes still suffer from excessive numerical dissipation near-critical regions. One reasons they tend under-use all adjacent smooth substencils thus fail realize optimal interpolation. Hence in this work, modified (...

In this paper, a third-order gas-kinetic scheme is developed on the three-dimensional hybrid unstructured meshes for compressible inviscid and viscous flows. classical weighted essentially non-oscillatory (WENO) scheme, high-order spatial accuracy achieved by non-linear combination of lower order polynomials. However, meshes, procedures, including selection candidate stencils calculation linear...

In this paper, we propose a novel modification to the WENO-family schemes reduce its intrinsic dissipation. work, focus on WENO5 scheme, which is rewritten in terms of central plus dissipative part, and then, dissipation controlled based flow physics. This achieved by using automatic adjustment (ADA) method an posteriori approach. methodology allows us greatly increase accuracy original scheme ...

A new third-order Energy Stable Weighted Essentially NonOscillatory (ESWENO) finite difference scheme for scalar and vector linear hyperbolic equations with piecewise continuous initial conditions is developed. The new scheme is proven to be stable in the energy norm for both continuous and discontinuous solutions. In contrast to the existing highresolution shock-capturing schemes, no assumptio...

Computational fluid dynamics simulations using the WENO-LF method are applied to high Mach number nonrelativistic astrophysical jets, including the effects of radiative cooling. Our numerical methods have allowed us to simulate astrophysical jets at much higher Mach numbers than have been attained (Mach 20) in the literature. Our simulations of the HH 1-2 astrophysical jets are at Mach 80. Simu...

This paper is devoted to the convergence and stability analysis of a class of nonlinear subdivision schemes and associated multi-resolution transforms. These schemes are defined as a perturbation of a linear subdivision scheme. Assuming a contractivity property, stability and convergence are derived. These results are then applied to various schemes such as uncentered interpolatory linear schem...