LocalStorage won't work across protocols - so if the user has your site open in one tab using http, and another tab using https, both those tabs will see separate localStorage objects. Cookies don't have the same issue (they have other issues, e.g. inflating the size of every http request back to your website)
The sample code below maintains a map where the key is a unique browser tab identifier and the value is a timestamp indicating when that tab last confirmed it was still open. The map is stored in a cookie. Its not a perfect approach - each tab updates itself every 3 seconds rather than instantly, and there are race conditions (multiple tabs updating the same cookie) but depending what you're after this may do the trick.
If you ran this code on just a specific page you'd (more or less) know when that page was open more than once in the same browser. Or run it on every page of your website and know when your website was open in multiple tabs.
Cookie reading/writing code is omitted for brevity (but taken from https://stackoverflow.com/a/24103596/4486628), and the encoding of the data in the cookie is done with json for simplicity, but you get the idea.
If you run this code and watch the cookies using FireBug's cookie tab you can see the cookie updating as tabs are opened and closed. Actually doing something like alerting the user when multiple tabs are open is left as an exercise for the reader.
var timePeriod = 3000; // 3 seconds
function tabHandler() {
// ensure the current window has an identifier set
if (!window.name.match(/^MySite[0-9]{3}/)) {
window.name = 'MySite' + Math.round(Math.random() * 1000);
}
// read in the state of all the tabs
var tabCookie = readCookie('tabs') || null;
var tabs = JSON.parse(tabCookie) || {};
// update the timestamp for the current tab
var now = (new Date()).getTime();
tabs[window.name] = now;
// remove tab details that haven't had their timestamp updated
var tooOld = timePeriod * 2;
for (var tabKey in tabs) {
if ((now - tabs[tabKey]) > tooOld) {
delete tabs[tabKey];
}
}
// write back the current state of tabs
createCookie('tabs', JSON.stringify(tabs), 1);
setTimeout(tabHandler, timePeriod);
}
setTimeout(tabHandler, timePeriod);