Hi Antonio, Thanks for your interest in PyFR.
All nodal basis functions used in PyFR are defined 'implicitly' via the definition of i.) a nodal point set and ii.) a modal orthonormal basis for the element in question (coefficients for the expansion of each nodal basis function, in terms of the modal orthonormal basis functions, can then be obtained). This is therefore the approach used to obtain nodal shape functions. Hence to define nodal shape functions for a pyramid you would beed to specify i.) a nodal point set and ii.) a modal orthonormal basis for the pyramid. I have not looked into this myself in detail yet. Cheers Peter On 23 Jul 2014, at 10:22, Antonio Garcia-Uceda <[email protected]<mailto:[email protected]>> wrote: Hi Freddie, I actually meant the transformation from the reference to the real element, in order to compute Jacobian matrix at the solution points. Are you telling me that you also compute this transformation through the transformation from modal to nodal basis? Best regards, Antonio On Tuesday, July 22, 2014 10:00:06 PM UTC+1, Freddie Witherden wrote: On 22/07/2014 14:05, Antonio Garcia-Uceda wrote: > Dear all, > > My name is Antonio Garcia-Uceda, and I'm working on implementing a FR > algorithm for hybrid meshes. > > I'm currently extending my FR method to pyramides, but I'm having > troubles to come up with an expression of shape functions to transform > from, let's say a reference pyramide of vertexes (-1,-1,-1), (-1,1,-1), > (1,1,-1), (1,-1,-1), (-1,-1,1), to a real pyramide of arbitrary vertexes. > > I'd like to provide me with some info if you have already fully devised > the FR method for pyramides. In PyFR we never construct these expressions explicitly. Everything we need can be obtained by constructing suitable nodal bases and then evaluating them at the right places; see shapes.py in PyFR. Regards, Freddie. -- You received this message because you are subscribed to the Google Groups "PyFR Mailing List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]<mailto:[email protected]>. To post to this group, send email to [email protected]<mailto:[email protected]>. Visit this group at http://groups.google.com/group/pyfrmailinglist. For more options, visit https://groups.google.com/d/optout. -- You received this message because you are subscribed to the Google Groups "PyFR Mailing List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send an email to [email protected]. Visit this group at http://groups.google.com/group/pyfrmailinglist. For more options, visit https://groups.google.com/d/optout.
