Project Help--Discontinuous Galerkin (FV) for Compressible Euler Eqs

Spacegirl1923 · March 25, 2013, 20:43

Hello, I am sort of new to this forum so my apologies in advance if I happen to violate some unspoken cfd forum rule...

I am currently working on a project for a class in which I must write a code to solve the 2-D Euler equations on an unstructured grid using an explicit 2-stage Runge-Kutta temporal discretization method, and a flux vector splitting scheme of my choosing (I am thinking van Leer for simplicity's sake). I think currently most of my questions are going from conceptual to application (ie discretizing the problem in a code) and I was hoping to get some help from the ether on such matters.

For starters does anyone have a link to a site or paper or reliable source that explicitly states the flux vectors (+ and -) F and E? Or rather does anyone have the vector forms for these I would like to verify what I am doing it correctly for debugging purposes.

Secondly, when going from P_{0} to P_{1} DG how is the Runge-Kutta time stepping scheme modified (ie addition eqations, flux calculations change etc) currently I have the formula as

U_{0}=U^{n} - \frac{1}{2} \DeltaT R(U^{n}) 1st stage
U_{n+1}=U^{n} - \DeltaT R(U^{n}_{0} 2nd stage

where U = [\rho,\rhou,\rhov,\rhoE]^{T}

Thanks for any help or direction that is offered!!

lamare · September 15, 2016, 04:32

Hi Spacegirl1923 ,

I have formulated field equations, based on an ideal compressible aether model:

http://www.cfd-online.com/Forums/ele...-openfoam.html

Might be interesting to you.

March 25, 2013, 20:43	Project Help--Discontinuous Galerkin (FV) for Compressible Euler Eqs	#1
Spacegirl1923 New Member Megan Join Date: Jan 2013 Location: Hampton Roads VA Posts: 13 Rep Power: 13	Hello, I am sort of new to this forum so my apologies in advance if I happen to violate some unspoken cfd forum rule... I am currently working on a project for a class in which I must write a code to solve the 2-D Euler equations on an unstructured grid using an explicit 2-stage Runge-Kutta temporal discretization method, and a flux vector splitting scheme of my choosing (I am thinking van Leer for simplicity's sake). I think currently most of my questions are going from conceptual to application (ie discretizing the problem in a code) and I was hoping to get some help from the ether on such matters. For starters does anyone have a link to a site or paper or reliable source that explicitly states the flux vectors (+ and -) F and E? Or rather does anyone have the vector forms for these I would like to verify what I am doing it correctly for debugging purposes. Secondly, when going from P_{0} to P_{1} DG how is the Runge-Kutta time stepping scheme modified (ie addition eqations, flux calculations change etc) currently I have the formula as U_{0}=U^{n} - \frac{1}{2} \DeltaT R(U^{n}) 1st stage U_{n+1}=U^{n} - \DeltaT R(U^{n}_{0} 2nd stage where U = [\rho,\rhou,\rhov,\rhoE]^{T} Thanks for any help or direction that is offered!!

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September 15, 2016, 04:32		#2
lamare New Member Arend Lammertink Join Date: Sep 2016 Location: Goor, The Netherlands. Posts: 5 Rep Power: 10	Hi Spacegirl1923 , I have formulated field equations, based on an ideal compressible aether model: http://www.cfd-online.com/Forums/ele...-openfoam.html Might be interesting to you.