A note on the carbuncle in shallow water simulations
arXiv:1206.0397h-index: 8
Originality Synthesis-oriented
AI Analysis
This work extends a known numerical instability to a new domain (shallow water flows), but is incremental as it applies existing solutions.
The paper demonstrates that the carbuncle instability, previously known in gas dynamics, also occurs in shallow water simulations at high Froude numbers, and provides numerical evidence that existing cures from gas dynamics are applicable.
An important problem in gas dynamics simulation is to prevent the carbuncle, a breakdown of discrete shock profiles. We show that for high Froude number, this also occurs in shallow water simulations and give numerical evidence that all cures developed for gas dynamics should also work in shallow water flows.