[Catkun]

Hi guys,

I have been writing some code to numerically solve 1D Euler's equation by using the WENO scheme. Supposed we are given the initial condition, I can compute the by using a fifth order WENO scheme. Then I can compute . However, to compute I need to know . I don't know how to obtain those value. Could anyone tell me how to obtain them or give me a good reference? Thanks a lot.

[FMDenaro]

from the intial condition U(x,t0) you reconstruct numerically the flux F[U(x,t0)], right? Hence, the same you have to do when U(x,t0+dt) is available

[Catkun]

Originally Posted by FMDenaro

from the intial condition U(x,t0) you reconstruct numerically the flux F[U(x,t0)], right? Hence, the same you have to do when U(x,t0+dt) is available

Hi FMDenaro,

Sorry for not making the problem clear. My actual question is how to reconstruct the flux given the .

[FMDenaro]

Originally Posted by Catkun

Hi FMDenaro,

Sorry for not making the problem clear. My actual question is how to reconstruct the flux given the .

There is no unique answer, it depends on the scheme you wanto to use.
As reference, have a look to the book of Leveque on hyperbolic systems