Check that your are on the home page, and that the user is logged in, and redirect if both are true:
function redir_user_wpse_187622() {
if (is_home() && is_user_logged_in()) {
$user_id = get_current_user_id();
wp_safe_redirect(get_author_posts_url( $user_id));
}
}
add_action('template_redirect','redir_user_wpse_187622');