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convergence of DG for Euler equations

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Old   February 1, 2009, 22:01
Default convergence of DG for Euler equations
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Shyam
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Hi,

I am developing a CFD code for unstructured grids based on spectral and DG methods. I used linear advection and Burger's eqn to get the order of convergence of the code. The scheme performed pretty good. But, when I use the same for Euler code, I am not able to get the designed order of error convergence. I used the advection of isentropic vortex for testing the Euler code. For the flux, I used HLL fluxes. Can anyone let me know what fluxes are recommended for the DG schemes of order > 3?

Also, in the HLL flux, the normal flux is something like

F_HLL = (SR*FL - SL*FR + SL*SR*(qR-qL))/(SR-SL)

I have used the fluxes FL and FR as the normal fluxes and qL and qR to be the original state variables (not transformed to normal coordinates). If I am wrong in this, please correct me.

Thanks, Shyam

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Old   February 2, 2009, 04:19
Default Re: convergence of DG for Euler equations
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Shyam
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Hi All,

I figured out that the code produces the desired order of accuracy if a more benign problem is chosen. When I chose the initial condition to be rho = 1 + 0.2 * sin(PI*(x+y)), u=0.7, v=0.2, p=1

the code produced the expected results. Still wondering why it struggles for advection of isentropic vortex.

Shyam
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Old   February 7, 2009, 01:48
Default Re: convergence of DG for Euler equations
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jack
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i am a DG worker too MSN: dirac_euler@hotmail.com
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