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class GC_walker_nav_menu extends Walker_Nav_Menu {

  // add classes to ul sub-menus
  function start_lvl(&$output, $depth) {
    // depth dependent classes
    $indent = ( $depth > 0 ? str_repeat("\t", $depth) : '' ); // code indent

    // build html
    $output .= "\n" . $indent . '<ul class="dropdown">' . "\n";
  }
}
if (!function_exists('GC_menu_set_dropdown')) :
function GC_menu_set_dropdown($sorted_menu_items, $args) {
  $last_top = 0;
  foreach ($sorted_menu_items as $key => $obj) {
    // it is a top lv item?
    if (0 == $obj->menu_item_parent) {
      // set the key of the parent
      $last_top = $key;
    } else {
      $sorted_menu_items[$last_top]->classes['dropdown'] = 'has-dropdown';
    }
  }

  return $sorted_menu_items;
}
endif;
add_filter('wp_nav_menu_objects', 'GC_menu_set_dropdown', 10, 2);
function remove_sticky_class($classes) {
  $classes = array_diff($classes, array("sticky"));
  $classes[] = 'wordpress-sticky';
  return $classes;
}
add_filter('post_class','remove_sticky_class');

<nav class="top-bar" data-topbar data-options="mobile_show_parent_link: true">
  <ul class="title-area">
    <li class="name">
      <h1><a href="#">My Site</a></h1>
    </li>
    <li class="toggle-topbar menu-icon"><a href="#">Menu</a></li>
  </ul>

  <section class="top-bar-section">
    <!-- Right Nav Section -->
<?php
$options = array(
  'theme_location' => 'primary',
  'container' => false,
  'depth' => 2,
  'items_wrap' => '<ul id="%1$s" class="right %2$s">%3$s</ul>',
  'walker' => new GC_walker_nav_menu()
);
wp_nav_menu($options); ?>

    <!-- Left Nav Section -->
    <ul class="left">
      <li><a href="#">Left Nav Button</a></li>
    </ul>
  </section>
</nav>