Scroll to search results on Views Exposed Filter submit button
You can do this in your theme when the page loads and has search results

Create search_results.js

(function ($) {

  'use strict';

  $(document).ready(function() {
    if( $('.views-row-1').length ){
      $("html, body").animate({ scrollTop: $(".views-row-1").offset().top }, "slow");        
    }
  });

}(jQuery));


which on page load sees if the first result is not empty and scrolls to it 

Load file on specific view page

In your template.php

function THEMENAME_preprocess_views_view(&amp;$vars) {
  $view = &amp;$vars['view'];
  // Make sure it's the correct view
  if ($view-&gt;name == 'view_resources_advanced_search') {
    drupal_add_js(drupal_get_path('theme', 'THEMENAME') . 'js/search_results.js');
  }
}


Of course make sure you change THEMENANE and make sure the view machine name is correct in the template.php file