I recommend hand washing for all my scarves.
Soak your scarf in warm water with a little silk wash detergent for about 20 minutes.
Squeeze gently but avoid rubbing too much.
Rinse at least twice and gently squeeze the water out.
Lay the scarf on a towel and roll it up, press on the towel to soak up excess water.
The scarf may be air dried flat or on a padded hanger.
Gently iron using a setting for the fibre of your scarf.
If washing is not required a gentle iron will bring your scarf back to life and bring out the shine on the silk.