3 papers
physics.flu-dyn2021
On the numerical overshoots of shock-capturing schemes
Huaibao Zhang, Fan Zhang
This note introduces a simple metric for benchmarking shock-capturing schemes. This metric is especially focused on the shock-capturing overshoots, which may undermine the robustne…
physics.comp-ph2018
Towards optimal high-order compact schemes for simulating compressible flows
Huaibao Zhang, Fan Zhang, Chunguang Xu
Weighted compact nonlinear schemes (WCNS) [Deng and Zhang, JCP 165(2000): 22-44] were developed to improve the performance of the compact high-order nonlinear schemes (CNS) by util…
physics.comp-ph2018
An extending strategy based on TENO framework for hyperbolic conservation laws
Fan Zhang, Jun Liu, Huaibao Zhang +1
Recently, the targeted ENO (TENO) schemes give a novel framework to keep optimal high-order spatial reconstruction wherever discontinuity is deemed to be vanished, including at smo…