The consequences of a divorce for children are mostly that they have to move to a different home and sometimes to a different school and that they will not see and be with both their parents at the same time any more. In most of the cases, they will live with their mother and they will see their father much less.
The age of the children plays a role in how they react to the divorce. Effects of divorce on children under 9 years - the so called pre-schoolers - are that they tend to blame themselves for the divorce. They also dream about their parents getting back together again some day. That's wishful thinking.