2 Dimensional Advection

navtechdel · August 21, 2017, 14:22

Hii.
I have been trying to implement a 2D advection equation in MATLAB. The scheme is called " active flux schemes" by Timothy Eymann. I have done the 1D part.
But, I am not able to define how the update is happening for the nodal points.
Kindly take a look equation 7 on page 14 and how to get an update equation for time level n+1.

https://www.researchgate.net/publica...e_Flux_Schemes

FMDenaro · August 22, 2017, 03:40

I had a fast look to the paper, it seems that exploits the exact solution from the characteristic line to compute the nodal update but I should read more carefully to be sure about the full procedure.

August 21, 2017, 14:22	2 Dimensional Advection	#1
navtechdel New Member Navendu Shekhar Join Date: Jun 2017 Posts: 6 Rep Power: 8	Hii. I have been trying to implement a 2D advection equation in MATLAB. The scheme is called " active flux schemes" by Timothy Eymann. I have done the 1D part. But, I am not able to define how the update is happening for the nodal points. Kindly take a look equation 7 on page 14 and how to get an update equation for time level n+1. https://www.researchgate.net/publica...e_Flux_Schemes

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August 22, 2017, 03:40		#2
FMDenaro Senior Member Filippo Maria Denaro Join Date: Jul 2010 Posts: 6,777 Rep Power: 71	I had a fast look to the paper, it seems that exploits the exact solution from the characteristic line to compute the nodal update but I should read more carefully to be sure about the full procedure.