Reload parent window from child window
No jQuery is necessary in this situation.
window.opener.location.reload(false);
https://developer.mozilla.org/en-US/docs/Web/API/Window
You can use window.opener, window.parent, or window.top to reference the window in question. From there, you just call the reload method (e.g.: window.parent.location.reload()).
However, as a caveat, you might have problems with window.opener if you need to navigate away from the originally opened page since the reference will be lost.