How can I avoid the the browser form-resubmission alert?

This question seems to have been discussed a lot here on SO, for example:
- Preventing form resubmission
- Prevent Back button from showing POST confirmation alert
- Never ever respond with a body to a POST-request
What I do not get from the previous discussion, is how I can use the posted data and incorporate it into the html. The previous links discuss how to use the php header function to send a get request to itself. But when sending this get request, the posted data will no longer be available to the new page, (since we cannot use the php post method..)
I would like to do this without using the php or javascript session storage technique (or saving the posted data to a temporary mySQL database).
For a simple example:
<html>
   <body>
      <form action="post.php" method="post">
      User name: <input type="text" name="user"><br>
         <input type="submit" value="Submit">
      </form>
   </body>
</html>
where post.php is:
<html>
   <body>
      <?php
          echo "<p>".$_POST['user']."</p>";
      ?>
   </body>
</html>
Pressing CTRL-R in google chrome on the second page brings up the alert.
 
     
     
     
     
    