TACS component

[kejacobson]

• check partials
• general f5 output
• use individual functions with names instead of single f_struct list
• functions on subdomain
• Create separate OM component for TACS mass function
• Python dictionary for design variables. The python dictionary will contain a list indices associated with certain components of types of components. This will allow the user to easily pull sets of design variables from the full TACS design variable array. For example, tacs_dv = { 'stringers': [ 0,1,2,3,20,21], 'ribs': [4,5,6,22,23] }

[kejacobson]

Check partials:
commit 9295e92, examples/funtofem_and_tacs/openmdao_fixed_load.py in complex mode

After adding applyBCs to the rev mode linearizations and switching to complex mode, FD and reverse mode match to machine precision.

Component: TacsSolver 'fsi_solver.struct'

'output' wrt 'variable'	fwd mag.	rev mag.	check mag.	a(fwd-chk)	a(rev-chk)	a(fwd-rev)	r(fwd-chk)	r(rev-chk)	r(fwd-rev)
'u_s' wrt 'dv_struct'	0.0000e+00	4.2756e+07	4.2756e+07	4.2756e+07	1.8096e-08	4.2756e+07	1.0000e+00	4.2323e-16	1.0000e+00
'u_s' wrt 'f_s'	0.0000e+00	6.0000e+00	6.0000e+00	6.0000e+00	0.0000e+00	6.0000e+00	1.0000e+00	0.0000e+00	1.0000e+00
'u_s' wrt 'u_s'	0.0000e+00	2.4104e+12	2.4104e+12	2.4104e+12	3.5972e-04	2.4104e+12	1.0000e+00	1.4924e-16	1.0000e+00
'u_s' wrt 'x_s0'	0.0000e+00	1.4869e+11	1.4869e+11	1.4869e+11	3.7798e-05	1.4869e+11	1.0000e+00	2.5421e-16	1.0000e+00

Component: TacsFunctions 'struct_funcs'

'output' wrt 'variable'	fwd mag.	rev mag.	check mag.	a(fwd-chk)	a(rev-chk)	a(fwd-rev)	r(fwd-chk)	r(rev-chk)	r(fwd-rev)
'f_struct' wrt 'dv_struct'	0.0000e+00	4.2062e+00	4.2062e+00	4.2062e+00	1.7764e-15	4.2062e+00	1.0000e+00	4.2232e-16	1.0000e+00
'f_struct' wrt 'u_s'	0.0000e+00	9.6475e+00	9.6475e+00	9.6475e+00	3.5870e-15	9.6475e+00	1.0000e+00	3.7181e-16	1.0000e+00
'f_struct' wrt 'x_s0'	0.0000e+00	4.4197e+00	4.4197e+00	4.4197e+00	1.6506e-15	4.4197e+00	1.0000e+00	3.7345e-16	1.0000e+00
'mass' wrt 'dv_struct'	0.0000e+00	1.2800e+06	1.2800e+06	1.2800e+06	4.6566e-10	1.2800e+06	1.0000e+00	3.6380e-16	1.0000e+00
'mass' wrt 'u_s'	0.0000e+00	0.0000e+00	0.0000e+00	0.0000e+00	0.0000e+00	0.0000e+00	nan	nan	nan
'mass' wrt 'x_s0'	0.0000e+00	7.7460e+03	7.7460e+03	7.7460e+03	1.0779e-12	7.7460e+03	1.0000e+00	1.3915e-16	1.0000e+00

[kejacobson]

Transitioned to pytacs interface in #80