jQuery Grid Plugin - jqGrid

I try to validate a simple Form but the Jquery Validation Plugin not woking when I use only Button not The Submit Button.
I can not use the Submit button there Because If I use submit Button After Submitting the form It take the Action and goes to Default page while my current form is comes from Ajax. I am very new to Jquery. Please Help its Urgent...
I am giving the files here.
index.html

Now the validation.js file

function save(){

$("#form_sub").click(function(){
$("#contact_form").validate({
'rules':{
'name':{
'required':true,
'minlength':5
},
'email':{
'required':true,
'email':true
}
}
})
}

Everything works fine when we use input type="submit"...
But it not working when we use input type="button"

Any Idea how can Fix this?
I am new to Jquery ... Please Help