Swirl Marks caused by incorrect washing techniques.
Swirl marks are mostly caused by washing a dusty dirty car or using a foam sponge, they can also be caused by using a traditional chamois to dry your car after washing.
click here to view our guide to correct car washing techniques.
A great way to correct these swirls is to use a machine and compound to polish the clear.
Simply use a combination of compound and pads from the links below.

Machine
Compounds
pads

Rotary Polisher

Medium & Soft

Medium & Fine

DA Polisher

Medium & Soft

Medium & Fine

Below are some great combinations

 

Method:

Always Wash the car and use a clay product to remove any contamination from the paint surface.

Use some masking tape and mask off a section of the car you need to correct.
Start with a fine pad and a fine compound.

Apply a small amount of compound to the pad and work it in on low speed for 10 seconds.

Continue to polish the area left and right up and down overlapping 50% each time.

Do this 3 to 4 times. Count that as one pass.
Wipe the panel and inspect the correction.

If courser cutting is required move down the grades till you get a good amount of correction.

Its a good idea to use masking tape to tape any rubber or moulds.

Using your test results continue to polish the rest of the car.

Once the paint is corrected finish with a fine pad.

Clean the paint surface with Eraser and apply a sealant or ceramic coating.
The hardness of your clear coat can influence the pads and compounds you choose.

This can be important as if you have a very soft or sticky clear coat, you may be adding scratches to the job rather then removing them.

Soft and sticky clear coat is normally found on cars like Mazda's or Range Rover.
Hard clear coat can be found on European Cars like VW or Mercedes.