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Conceptual Question about One Dimensional Inviscid Burgers Equation 

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May 20, 2015, 04:22 
Conceptual Question about One Dimensional Inviscid Burgers Equation

#1 
New Member

Hello everyone!
I am trying to use Adaptive mesh refinement and I was just going through the PhD thesis of Marsha Berger. She wrote inviscid Burgers equation as u_t = u*u_x While at almost every place, I have seen it as u_t + u*u_x = 0. Is there any significant difference between the solutions of these two equations? I am trying to write a code using LaxWendroff Scheme for the equation she has given. Can I expect good results? Thanks and looking forward for responses. 

May 20, 2015, 05:52 

#2  
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,764
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Quote:
du =dt (du/dt + dx/dt * du/dx) therefore, to have the classical fact that that u is conserved along path line, you need the condition for the characteristic curves du = 0 > dx/dt = u on the other hand, if you denote f=u: du/dt +f*du/dx=0 you can find the classical Burgers equation for the field f. 

May 20, 2015, 09:22 

#3 
New Member

Thanks a lot. Perhaps it could be mistakenly written in the thesis I was reading or it could be the second option as you mentioned. I will try them both to see which corresponds to the solution mentioned by her.


May 20, 2015, 09:50 

#4  
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amr, burgers equation, cfd, inviscid, theory 
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