The link for the scale factors for all 3D separable coordinate systems is -
https://en.wikipedia.org/wiki/Orthogonal_coordinates#Table_of_orthogonal_coordinates If you are going to due one you might as well do all of them. On Sat, Mar 5, 2016 at 3:44 PM, Jason Moore <moorepa...@gmail.com> wrote: > Here is a pull request that started implementing this for the 3D vector > module: https://github.com/sympy/sympy/pull/9937 > > > Jason > moorepants.info > +01 530-601-9791 > > On Sat, Mar 5, 2016 at 9:44 AM, Alan Bromborsky <abrombo...@gmail.com> > wrote: > >> Sections 2.2 and 2.3.3 in attached document might be of use if you wish >> to implement different coordinate systems via the metric tensor. For >> example the metric tensor for spherical coordinates is a diagonal matrix >> with diagonal entries g_ii = [1, r**2, r**2*sin(theta)**2]. For this all >> the derivatives of the basis vectors (needed for div and curl) can be >> calculated using the Christoffel symbols. With this approach you could >> have a list of metric tensors for all separable coordinate systems in 3 >> dimensions and then calculate the curl and div in each of these coordinate >> systems. Note that in this approach the basis vectors must initially be >> unormalized (see the sections referenced in the attached document). >> >> On Sat, Mar 5, 2016 at 3:32 AM, Adarsh Saraf <adarshsaraf...@gmail.com> >> wrote: >> >>> Hi, >>> >>> I am Adarsh Saraf, a first year M.Tech(Computer Science) student with >>> the Sri Sathya Sai Institute of Higher Learning from India. I would be >>> interested in working for the project: 'Implementation of multiple types of >>> coordinate systems for vectors' as part of GSoC 2016. >>> I would like to know more about the project and whom I should contact >>> for further details regarding the project. >>> >>> Thank You, >>> Adarsh Saraf >>> >>> -- >>> You received this message because you are subscribed to the Google >>> Groups "sympy" group. >>> To unsubscribe from this group and stop receiving emails from it, send >>> an email to sympy+unsubscr...@googlegroups.com. >>> To post to this group, send email to sympy@googlegroups.com. >>> Visit this group at https://groups.google.com/group/sympy. >>> To view this discussion on the web visit >>> https://groups.google.com/d/msgid/sympy/e2827c93-976c-496e-9c73-07aae4e2d1e0%40googlegroups.com >>> <https://groups.google.com/d/msgid/sympy/e2827c93-976c-496e-9c73-07aae4e2d1e0%40googlegroups.com?utm_medium=email&utm_source=footer> >>> . >>> For more options, visit https://groups.google.com/d/optout. >>> >> >> -- >> You received this message because you are subscribed to the Google Groups >> "sympy" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to sympy+unsubscr...@googlegroups.com. >> To post to this group, send email to sympy@googlegroups.com. >> Visit this group at https://groups.google.com/group/sympy. >> To view this discussion on the web visit >> https://groups.google.com/d/msgid/sympy/CALOxT-%3DfBwW4N16UE5esVGjM8hLBwbH8-TEMjpGkvXEa4UT0aA%40mail.gmail.com >> <https://groups.google.com/d/msgid/sympy/CALOxT-%3DfBwW4N16UE5esVGjM8hLBwbH8-TEMjpGkvXEa4UT0aA%40mail.gmail.com?utm_medium=email&utm_source=footer> >> . >> >> For more options, visit https://groups.google.com/d/optout. >> > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sympy+unsubscr...@googlegroups.com. > To post to this group, send email to sympy@googlegroups.com. > Visit this group at https://groups.google.com/group/sympy. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sympy/CAP7f1AiVQVcnPfSt-Zhihc%2BsQt_NqJk4OhTbhVNCfi692pykkQ%40mail.gmail.com > <https://groups.google.com/d/msgid/sympy/CAP7f1AiVQVcnPfSt-Zhihc%2BsQt_NqJk4OhTbhVNCfi692pykkQ%40mail.gmail.com?utm_medium=email&utm_source=footer> > . > > For more options, visit https://groups.google.com/d/optout. > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at https://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CALOxT-%3DKJ59dk3JFpY_KEdtym5KQ4Q6AhZKkr%2B3iFa7_Lb8uxg%40mail.gmail.com. For more options, visit https://groups.google.com/d/optout.
