Multi-Resolution WENO Method with Adaptive Linear Weights Using Subcell Strategy

Abstract

This paper develops an adaptive-linear-weights, multi-resolution WENO method in the framework of subcell (AMWENO-SC). The features of AMWENO-SC present on that: first, it uses the subcell strategy; second, it only consists of two subreconstructions, where one is first order, the other is higher order and designed by using the CLS; third, it optimizes the smoothness indicator of first order subreconstruction by using the WLS-ENO; finally, it simplifies the adaptive linear weights by using the TENO approach. Compared with original AMWENO, our AMWENO-SC has better compactness, higher resolution and efficiency.