I would like to replace the mesh in a case what i ran with a other one. All numerical parameters and methods should be not changed. How I can perform this in STAR 4?

What I'm looking for to do is like "write-bc" in Fluent (writing of boundary condition file). It would be nice to have the same setup with a new mesh.

In v3.26, the command cdsave writes out the model. Give it a look & see if it's what you want. It's been a while since I've used it & I don't remember all the details.

You probably only want the casename.inp file since you have a new grid. You will need to create the boundary regions on the new mesh. And you may have to edit the case.inp file created by cdsave.