TY - JOUR
T1 - Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme
AU - Xia , Yifan
AU - Zheng , Jianjing
AU - Zou , Jianfeng
AU - Zhang , Jifa
AU - Wang , Gaofeng
AU - Zheng , Yao
JO - Communications in Computational Physics
VL - 2
SP - 626
EP - 644
PY - 2022
DA - 2022/01
SN - 31
DO - http://doi.org/10.4208/cicp.OA-2021-0131
UR - https://global-sci.org/intro/article_detail/cicp/20217.html
KW - Metric tensor, mesh adaptation, finite volume scheme, unstructured grid.
AB - <p style="text-align: justify;">In present paper, mesh adaptation is applied for curing the pathological
behaviors of the enhanced time-accurate upwind scheme (Loh &amp; Jorgenson, AIAAJ
2016). In the original ETAU (enhanced time-accurate upwind) scheme, a multi-dimensional dissipation model is required to cure the pathological behaviors. The
multi-dimensional dissipation model will increase the global dissipation level reducing numerical resolution. In present work, the metric-based mesh adaptation strategy
provides an alternative way to cure the pathological behaviors of the shock capturing. The Hessian matrix of flow variables is applied to construct the metric, which
represents the curvature of the physical solution. The adapting operation can well refine the anisotropic meshes at the location with large gradients. The numerical results
show that the adaptation of mesh provides a possible way to cure the pathological
behaviors of upwind schemes.</p>