How can I refresh c# dataGridView after update ?

BindingSource is the only way without going for a 3rd party ORM, it may seem long winded at first but the benefits of one update method on the BindingSource are so helpful.

If your source is say for example a list of user strings

List<string> users = GetUsers();
BindingSource source = new BindingSource();
source.DataSource = users;
dataGridView1.DataSource = source;

then when your done editing just update your data object whether that be a DataTable or List of user strings like here and ResetBindings on the BindingSource;

users = GetUsers(); //Update your data object
source.ResetBindings(false);