functions.php

add_action('wp_head','ps_scroll_on_submit');

function ps_scroll_on_submit() {
if(isset($_POST['submit'])) {
    ?>
    <script>
        $(function() {
            $('html, body').animate({
                scrollTop: $("#yourDiv").offset().top
            }, 2000);
         });
    </script>
    <?php
  }
}