On the 1D Modeling of Fluid Flowing through a Junction

TL;DR

This paper compares various one-dimensional modeling approaches for fluid flow through pipe junctions, addressing the complexity of the full 2D or 3D Euler equations and the challenges in their numerical simulation.

Contribution

It provides a comparative analysis of different 1D models for fluid flow at pipe junctions, offering insights into their accuracy and computational efficiency.

Findings

Different 1D models vary in accuracy for junction flow simulation

Some models offer a good balance between simplicity and precision

The study highlights the limitations of simplified models compared to full Euler equations

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.