I’ve found recently that many approaches to embouchure work, but not all are good, and not all work for everyone. Experimentation and learning to relax are quite helpful.
Better yet, a teacher would help most!
Thanks for the tips, I’m looking forward to experimenting with them after work since I’ve always been a somewhat flat flautist, ever since my Boehm days in school band. Working with a tuner has helped me to realize that the problem is embouchure based, and your notes will help me tackle it in a more scientific fashion.
thanks for this…i’ve been working on mine over the last few weeks after reading some of the Grey Larsen book. I started learning in October but was able to make a sound in the flute before I started lessons - so my teacher never actually showed me how. After reading the Grey Larsen instructions (similar to yours) I realised I’d been doing it wrong all along and now it’s much easier to get the 2nd octave.
originally i had just been blowing over the top of the hole - the hole in my lips was too big and impossible to get high notes unless i just blew really hard.
it’s a tough one but i’m getting the hang of it now i think
It seems the frown and down for the corners of your mouth works, and has been recommended by others here on the board, so it’s a good bet then.
And when your lip and mouth muscles get all stressed out and tired, just relax! It’s surprising the volume and tone you can get like that sometimes.
Keep up the good work, Barry!
nonsence
Thank you Cathy, for your encouragement. 
No problemo. It’s all part of the journey, whatever one’s journey happens to be! 
Medication time, medication time.
My teacher pointed out that the old saw about “it takes more muscles to frown than to smile” applies inversely to the flute: Since frowning involves more muscles doing similar work, you can do it longer = play more.
Just got my first flute Saturday, a 3 piece Tipple Low D. This is not as easy as whistle. I’ve read so many suggestions about how close to position your lips to the hole, and now this about covering part or almost all the hole. Hey, I’ll try anything. Sometimes it’s sweet and pure all the way up to the “e”, but not often. It seems to me that the opposite side of the hole should be sharper, almost like the edge of the whistle ramp, but mine is squared off even all the way around. Anybody ever experiment with this?
Covering some of the hole can be effective, depending on your embouchure, but you have to watch your tuning; and compensate with more air speed, and/or focus, and direction.
By the way-excellent choice in a first flute! That far edge is fine-that’s the way it’s supposed to be. Good luck with your new flute. No, it’s not as easy as the whistle, but it’s more rewarding. You’ll see, enjoy!