Character Controller Not Moving Locally

I'm sorry if this has been asked before but I couldn't find anything on this

I made a simple capsule with Rigid Body physics, a Capsule Collider and a Character Controller (in that order). I created a basic c# script to control it and the script works fine but if i rotate the capsule, it keeps moving the same direction. Basically it's moving globally and not locally like i need it to. So yeah if someone can help me out with this that'd be great!

 public float mouseSensitivity = 5.0F;
 public float walkSpeed = 100.0F;
 
 private CharacterController controller;
 
 
 // Use this for initialization
 void Start () {
 
     controller = GetComponent<CharacterController>();
 
 }
 
 // Update is called once per frame
 void Update () {
     mouseLook ();
     processController ();
 }

 void mouseLook () {

     float h = mouseSensitivity * Input.GetAxis("Mouse X");
     transform.Rotate(0, h, 0);

 }
 
 void processController () {
 
     Vector3 v = new Vector3 (0, 0, 0);
 
     if (Input.GetKey ("w"))
         v.z += walkSpeed;
     if (Input.GetKey ("s"))
         v.z -= walkSpeed;
     if (Input.GetKey ("a"))
         v.x -= walkSpeed;
     if (Input.GetKey ("d"))
         v.x += walkSpeed;
 
     controller.SimpleMove (v * Time.deltaTime);
     
 }