Preventing floats of being before section

Question

I have a rather large file with many chapters, before every chapter I use \cleardoublepage to get to a new doublepage but flushing all floats beforehand.

In the beginning I also had position specifiers on all floats but I then had the issue that all floats were pushed to the end. This answer suggests to remove the position specifiers, and that worked fine for me.

However, I now have the problem of sometimes seeing the following order

float
chapter title

instead of

chapter title
float

as it is in my document. I know there's a \FloatBarrier command but if I use it after the \section{chapter title} command, the float gets pushed to the next page, which is not what I want.

I wonder, how do I properly place floats and prevent them to be before my chapter titles?

---

A minimum working example is given here:

\documentclass[11pt,a4paper,twoside]{article}

\begin{document}

\section{Section 1}
\cleardoublepage

\section{Section 2}

\begin{table}
  \begin{tabular}{|l|}
    This is just a table \\
  \end{tabular}
\end{table}

\end{document}

Answer 1

\documentclass[11pt,a4paper,twoside]{article}
\makeatletter
\renewcommand\fps@table{htbp}
\makeatother

\begin{document}

\section{Section 1}
\cleardoublepage

\section{Section 2}

\begin{table}
  \begin{tabular}{|l|}
    This is just a table \\
  \end{tabular}
\end{table}

\end{document}