What you need to know is the position of the element you want to scroll to. This value can be found with the .position () method of jquery:
var posicao = $('#destino').position().top;
To run the scroll only when the down key is pressed you can use:
$(window).on('keydown', function (e) {
if (e.which != 40) return false;
To use a smooth scroll you can use jQuery animate () where you can set the speed in the second function parameter (in milliseconds). In this case I put 1 second and a half.
$('html, body').stop().animate({
scrollTop: posicao
}, 1500);
The code I put in the demo:
$(window).on('keydown', function (e) {
if (e.which != 40) return false;
var posicao = $('#destino').position().top;
$('html, body').stop().animate({
scrollTop: posicao
}, 1500);
});
Take a look at in this question / answer that is related to if you want to see more scrollTo examples.