Euler equation right and left eigenvector

fralusa · January 24, 2018, 08:28

Hi,

I'm looking for right and left eigenvectors of 3-dimensional Euler system of equations. I found just the eigenvectors corresponding to x-flux Jacobian matrix but I could not find the right and left eigenvector of y-flux and z-flux Jacobian matrices. Could someone help me?

Thanks in advance.

praveen · January 24, 2018, 08:58

See this

AXEL ROHDE
EIGENVALUES AND EIGENVECTORS OF THE EULER EQUATIONS IN GENERAL GEOMETRIES
AIAA 2001-2609

http://microcfd.com/download/pdf/aiaa-2001-2609.pdf

You can choose the normal vector to get all the required information.

fralusa · January 24, 2018, 11:51

Many thanks. It works perfectly.

sbaffini · January 24, 2018, 16:18

This paper:

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

which until recently was freely available somewhere online, also contains a more general set of eigenvectors (valid for general EOS in rotating frames) and does not involve any division

January 24, 2018, 08:28	Euler equation right and left eigenvector	#1
fralusa New Member Francesco De Vanna Join Date: Jan 2017 Location: Venice, Italy Posts: 8 Rep Power: 9	Hi, I'm looking for right and left eigenvectors of 3-dimensional Euler system of equations. I found just the eigenvectors corresponding to x-flux Jacobian matrix but I could not find the right and left eigenvector of y-flux and z-flux Jacobian matrices. Could someone help me? Thanks in advance.

January 24, 2018, 08:58		#2
praveen Super Moderator Praveen. C Join Date: Mar 2009 Location: Bangalore Posts: 342 Blog Entries: 6 Rep Power: 18	See this AXEL ROHDE EIGENVALUES AND EIGENVECTORS OF THE EULER EQUATIONS IN GENERAL GEOMETRIES AIAA 2001-2609 http://microcfd.com/download/pdf/aiaa-2001-2609.pdf You can choose the normal vector to get all the required information. __________________ http://cpraveen.github.io http://twitter.com/cfdlab http://github.com/cpraveen

January 24, 2018, 11:51		#3
fralusa New Member Francesco De Vanna Join Date: Jan 2017 Location: Venice, Italy Posts: 8 Rep Power: 9	Many thanks. It works perfectly.

January 24, 2018, 16:18		#4
sbaffini Senior Member Paolo Lampitella Join Date: Mar 2009 Location: Italy Posts: 2,151 Blog Entries: 29 Rep Power: 39	This paper: https://www.researchgate.net/publica...achinery_Flows which until recently was freely available somewhere online, also contains a more general set of eigenvectors (valid for general EOS in rotating frames) and does not involve any division