Godunov-type Large Time Step scheme for Shallow Water Equations with Bed-Slope Source Term
نویسندگان
چکیده
This paper presents a Godunov-type large time step (LTS) solver of the non-homogeneous shallow water equations (SWEs). Source terms are decomposed into simple characteristic waves in approximate Riemann solvers (ARS) and exact (ERS), information is transferred over multiple cells per using LTS method. Benchmark simulations presented different solution algorithms (ARS ERS with without entropy fixes) for two rarefactions driven by divergent flow, pair bores opposing flows, dam break shelf-like step. In these cases, spurious flow discontinuities oscillations can occur Courant–Friedrichs–Lewy number (CFL) > 1 absence an fix. Implementation weak-solution fix improves results, but shock shifting nevertheless occurs certain cases. The also considers steady, frictionless, transcritical bed hump. this final case, model run integer CFL ranging from to 10. For ≤ 3, satisfactory results obtained (without divergence oscillation) ARS larger CFL, either diverge or exhibit convergent downstream hydraulic jump. Use designed implementation scheme 5.
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ژورنال
عنوان ژورنال: Computers & Fluids
سال: 2022
ISSN: ['0045-7930', '1879-0747']
DOI: https://doi.org/10.1016/j.compfluid.2021.105222