期刊
出版社
EDP SCIENCES S A
DOI: 10.1051/m2an/2014054
关键词
Nonlinear conservation laws; model reduction; reduced basis method
资金
- Project PRIN Innovative Methods for Water Resources under Hydro-Climatic Uncertainty Scenarios
In this paper we present a new reduced basis technique for parametrized nonlinear scalar conservation laws in presence of shocks. The essential ingredients are an efficient algorithm to approximate the shock curve, a procedure to detect the smooth components of the solution at the two sides of the shock, and a suitable interpolation strategy to reconstruct such smooth components during the online stage. The approach we propose is based on some theoretical properties of the solution to the problem. Some numerical examples prove the effectiveness of the proposed strategy.
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