Let me make a few preliminary comments before starting the tutorial. When you carve an object, you're not trying to make a photographic reproduction of it - you're trying to "represent" the object, which means that you need to decide what the important aspects of the object are and make sure those are included in the carving.
People see objects in clouds. The shape of clouds is just random, so why do people see objects in clouds? The human mind is a wonderful shape matching device - so if the clouds have a shape that is even close to some object that you've seen before, the mind matches to that object and you see the resemblance.
When we carve, we take advantage of that aspect of the human mind - we don't try to carve every aspect of an object, but only the "important" aspects of that object. If we select well, other people will see the object in our carving.
So with our flower. The "flower" we're going to carve probably doesn't exist in nature, but someone looking at it will say that it's a flower.
The other point I'd like to make is that your carving can vary quite a bit and it'll still look good. I'm going to give you some tools and dimensions but you should feel free to adapt my recommendations to your tools, needs, and taste.
++++++ Tutorial ++++++
I'm going to use a piece of basswood. I have a piece here that has some defects in it, so I'm going to use half of it for this project. The piece is 12" by 5 1/2" so I'm going to work with a 6" by 5 1/2" work area.
CLAMP YOUR WORK!!! I don't show the clamp in these pictures but the work is always clamped, as yours should be. NEVER, NEVER, NEVER, work on a loose piece of wood - you'll eventually wind up in the ER with a gouge through your hand.
Flower-carving-01.jpg
What I did was draw two circles that I though would look good for a flower. The outer circle has a radius of 1 7/8" and the inner has a radius of 3/8". I just drew these without measuring. Then I measured the radius and adjusted it to an even fraction - that's why you see two circles in the picture.
For your flower, you may want to go larger or smaller, especially to match the gouges you have. I'll talk more about that later.
Flower-carving-02.jpg
I now need to find a gouge that matches the inner circle. With my tools, the best match was a #7/14 gouge. Note, however that this gouge is a Henry Taylor and not a Pfeil, and I've marked the Henry Taylor (which normally is a Sheffield system gouge) with the Swiss system equivalent. What you need to do is find a gouge that matches your inner circle. You can adjust the circle to fit your gouge.
Flower-carving-03.jpg
Cut downward around the inner circle. Do not use a mallet at this time - just use hand pressure. Then use your #2/5 gouge to cut inward to your circular cut, as shown in the picture.
Flower-carving-04.jpg
You can use your #7/14 to make those inward cuts, but it's easier with the small gouge. But once you get the initial trim made, switch to the #7/14 and cut downward and inward until the center circle is sticking up about 1/4".
Flower-carving-05.jpg