Well, it looks like you are going to attend a party or show or something. As far as I know, indeed there are some places selling special effect contact lenses, which are able to help you achieve that effect. For example, Alibaba is a good e-commerce website,you can find a lot of special effect contacts over there, including black swan type. Hope you find this useful.
First,use pale ivory foundation with a white cream highlighter to bring out facial features.Second, makeup your eyes,you should use a black eyeliner to paint your eyelids expertly,you can use MAC chromaline. And then, when the basic shape is appropriately, use a silver eyeshadow to infill and create the shine. Use careful feathering strokes avoid destroying the black outlining. You might also use red eyeliner to underline your eyes, in this way, your eyes will look more vividly
Honestly, the black swan is really a cool role, and many people who love makeup in a dramatic way always want to learn her to makeup. As far as I know, there are two ways for you to realize your dream. On one hand, you can get red eyes from burst blood vessels, which is true to nature but also is dangerous and painful so many people prefer not to use this way. Nevertheless, some black swan will insist on making-up like black swan ignoring the pain. On the other hand, you can just wear the red contacts lenses; this way is also useful for you to make your eyes like black swan. Of course, wearing red contacts is safer than the burst blood vessels, but the result is not as good as the burst blood vessels. No matter what you are emphasizing: the result or the health, you should balance both of them, my dear friend. When you decide, pls think twice so that you will be regret in the future. Thanks.