references for the "spectral element" method

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 April 5, 2006, 04:08 references for the "spectral element" method #1 ztdep Guest   Posts: n/a Hi: Does sombody know some good references for the "spectral elements" method! regards

 April 5, 2006, 08:58 Re: references for the "spectral element" method #2 Cezary Guest   Posts: n/a Hi, Well it depends which SEM method you want to use, continious/discontinious, tet/hex, modal/nodal A general reference and introduction would be: "Spectral/hp Element Methods for CFD" by George Em Karniadakis and Spencer J. Sherwin. Oxford University Press, 2005 (second edition), 1999 (first edition). "High Order Methods for Incompressible Fluid Flow" by M. O. Deville, P. F. Fischer, E. H. Mund, M. J. Ablowitz Cambridge University Press; 1st edition (August 15, 2002) nodal, tet, continious Tim Warburton http://www.useme.org/ modal, tet, continious George Karniadakis, Sherwin modal, hex, continious Paul Fischer nodal, discontinious Jan S Hesthaven This should give you a general overview of the method. Regards, Cezary

 April 5, 2006, 09:35 Re: references for the "spectral element" method #3 ztdep Guest   Posts: n/a thank you very much! what is the meaning of the discontinue? regards

 April 5, 2006, 09:47 Re: references for the "spectral element" method #4 Cezary Guest   Posts: n/a This refers to the bases used. If bases are continious then your field will be continious meaning that a shared face will have same values on it. On the other hand discontinious means that you might have a jump between elements. I.e on one face you would have a different value to the neighbouring face. Thus the field is discountinious as the data is not the same across faces and there might be on the same face different values for different elements that share the face. Continious ----| |------------ E 1 | 1 1 | Element 2| => continious across face ----| |------------ Discontinious -----| |-----------| E 1 | 1 2 | Element 2 | => jump across face -----| |-----------|

 April 6, 2006, 00:38 Re: references for the "spectral element" method #5 ztdep Guest   Posts: n/a thak you very much! that means it can be used to capture the shockwave! regards

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