Numerical schemes for quasi-1D steady nozzle flows

نویسندگان

چکیده

In this work we construct high-resolution numerical schemes for the calculation of quasi-1D unsteady flow in pipes with variable cross-sectional area. This is an example non-homogeneous hyperbolic systems conservation laws that admit stationary solutions. We use strategy developed by authors [1] which to transform system into homogeneous writing source term divergence form, so it can be incorporated flux vector and discretized same way. As a result, terms are automatically achieve perfect balance terms, obtaining well-balanced produce very robust accurate Concretely, mentioned will used extend limiter technique [2] Harten, Lax van Leer (HLL) Riemann solver [3] ducts cross-section. The results confirm capacity these methods schemes.

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ژورنال

عنوان ژورنال: Applied Mathematics and Computation

سال: 2021

ISSN: ['1873-5649', '0096-3003']

DOI: https://doi.org/10.1016/j.amc.2021.126072