inviscid burgur's equation

morteza08 · August 10, 2010, 04:02

hi i am looking for the analytical solution of inviscid non-linear burgur's equation
U_t+U*U_x=0

mcaro · August 12, 2010, 19:17

Hello,
but i think that you miss something..

where is the initial condition?

agd · August 13, 2010, 08:45

It can be solved via a Cole-Hopf transformation. Try googling on "exact solution of burger equation cole-hopf". The basic idea is that the transform carries the non-linear equation into a linear heat equation with some work that has to be done on the boundary conditions. That's all I can remember right now from when I worked it out.

August 10, 2010, 04:02	inviscid burgur's equation	#1
morteza08 Senior Member Morteza Join Date: May 2010 Location: Iran,Islamic Republic of Posts: 161 Rep Power: 15	hi i am looking for the analytical solution of inviscid non-linear burgur's equation U_t+U*U_x=0

August 12, 2010, 19:17	does have any initial conditions?	#2
mcaro New Member Miguel Caro Join Date: Apr 2010 Posts: 26 Rep Power: 15	Hello, but i think that you miss something.. where is the initial condition?

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
mass flow in is not equal to mass flow out	saii	CFX	12	March 19, 2018 05:21
Calculation of the Governing Equations	Mihail	CFX	7	September 7, 2014 06:27
Constant velocity of the material	Sas	CFX	15	July 13, 2010 08:56
Viscosity and the Energy Equation	Rich	Main CFD Forum	0	December 16, 2009 14:01
continuity equation	Rafal	Main CFD Forum	4	November 29, 2006 09:27

August 13, 2010, 08:45		#3
agd Senior Member Join Date: Jul 2009 Posts: 351 Rep Power: 18	It can be solved via a Cole-Hopf transformation. Try googling on "exact solution of burger equation cole-hopf". The basic idea is that the transform carries the non-linear equation into a linear heat equation with some work that has to be done on the boundary conditions. That's all I can remember right now from when I worked it out.