TY - JOUR
T1 - A Modified Adaptive Improved Mapped WENO Method
AU - Li , Ruo
AU - Zhong , Wei
JO - Communications in Computational Physics
VL - 5
SP - 1545
EP - 1588
PY - 2021
DA - 2021/10
SN - 30
DO - http://doi.org/10.4208/cicp.OA-2021-0057
UR - https://global-sci.org/intro/article_detail/cicp/19940.html
KW - WENO schemes, adaptive mapping functions, hyperbolic conservation laws.
AB - <p style="text-align: justify;">We propose a new family of mapped WENO schemes by using several adaptive control functions and a smoothing approximation of the signum function. The
proposed schemes admit an extensive permitted range of the parameters in the mapping functions. Consequently, they have the capacity to achieve optimal convergence
rates, even near critical points. Particularly, the new schemes with fine-tuned parameters illustrates a significant advantage when solving problems with discontinuities. It
produces numerical solutions with high resolution without generating spurious oscillations, especially for long output times.</p>