Journal
JOURNAL OF HYDRAULIC ENGINEERING
Volume 145, Issue 12, Pages -Publisher
ASCE-AMER SOC CIVIL ENGINEERS
DOI: 10.1061/(ASCE)HY.1943-7900.0001642
Keywords
Shallow-water equations; Local time step; Computational efficiency; Two-dimensional modeling
Funding
- National Natural Science Foundation of China [11772300, 11872332]
- Zhejiang Natural Science Foundation [LR19E090002]
- Key Project of Changjiang Waterway Bureau [K16-529112-016]
- Zhoushan University [K18-529112-004]
- Zhejiang University [K18-529112-004]
- HPC Center OF ZJU (ZHOUSHAN CAMPUS)
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Shallow-water models suffer from relatively high computational costs owing to the Courant-Friedrichs-Lewy (CFL) constraint and (in most cases) the adopted global minimum time step for variable updating. Here, an improved local time step (LTS) scheme is proposed by introducing slight but useful modifications to the Sanders LTS scheme for two-dimensional (2D) shallow-water modeling based on unstructured triangular meshes. The modifications include (1) avoiding an unrealistically large LTS in the case of a vanishing water depth for near-static cells and (2) avoiding spatial variation of the LTS level around a wet/dry front or dynamic/static front. A series of numerical tests show that the improved LTS gives stable and accurate solutions, along with significant reductions in the computational cost. Moreover, the computational overhead due to the aforementioned modifications is negligible. It is expected that the improved LTS scheme will find wide application in 2D shallow-water modeling.
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