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On the 1D Modeling of Fluid Flowing through a Junction

Analysis of PDEs 2009-03-05 v1 Mathematical Physics math.MP

Abstract

Consider a fluid flowing through a junction between two pipes with different sections. Its evolution is described by the 2D or 3D Euler equations, whose analytical theory is far from complete and whose numerical treatment may be rather costly. This note compares different 1D approaches to this phenomenon.

Keywords

Cite

@article{arxiv.0903.0781,
  title  = {On the 1D Modeling of Fluid Flowing through a Junction},
  author = {Rinaldo M. Colombo and Mauro Garavello},
  journal= {arXiv preprint arXiv:0903.0781},
  year   = {2009}
}

Comments

21 pages, 6 figures

R2 v1 2026-06-21T12:18:18.381Z