compressible models problem

Hello,everyone~
I want to use LBM to simulate in shock tube problem,but I have some question

1.I have studied Double distribution function, But Actually i don’t know how to establish in my code,

2.should I understand the derive of formula in LBM totally? Because I try to my best to study the math ,some detail derive i couldn’t hadle the all

3.Can anyone give me a good advise to tell me and if you have the example or tech code for compressible problem can you share to me ?

Thanks everyone~

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Hello,i also want to simulate compressible flow using palabos. Have you succeeded in making it? If so, could you give me some help?
Thank you.
Best regards.