# Incompressible wind accretion

## TL;DR

This paper introduces an analytic model for incompressible wind accretion onto a gravitating object, useful for benchmarking and educational purposes in fluid dynamics.

## Contribution

It provides a simple, Newtonian limit solution for incompressible wind accretion, extending a relativistic model to a non-relativistic context.

## Key findings

- Analytic solution for incompressible wind accretion
- Applicable as a benchmark for hydrodynamics simulations
- Educational example for gas dynamics courses

## Abstract

We present a simple, analytic model for the accretion flow of an incompressible wind onto a gravitating object. This solution corresponds to the Newtonian limit of a previously known relativistic model for a fluid obeying a stiff equation of state for which the sound speed is constant everywhere and equal to the speed of light. The new solution should be useful as a benchmark test for numerical hydrodynamics codes and, moreover, it can be used as an illustrative example in a gas dynamics course.