# -*- coding: utf-8 -*-
from pyfr.solvers.baseadvec import BaseAdvectionElements
class BaseFluidElements:
formulations = ['std', 'dual']
privarmap = {2: ['rho', 'u', 'v', 'p'],
3: ['rho', 'u', 'v', 'w', 'p']}
convarmap = {2: ['rho', 'rhou', 'rhov', 'E'],
3: ['rho', 'rhou', 'rhov', 'rhow', 'E']}
dualcoeffs = convarmap
visvarmap = {
2: [('density', ['rho']),
('velocity', ['u', 'v']),
('pressure', ['p'])],
3: [('density', ['rho']),
('velocity', ['u', 'v', 'w']),
('pressure', ['p'])]
}
@staticmethod
def pri_to_con(pris, cfg):
rho, p = pris[0], pris[-1]
# Multiply velocity components by rho
rhovs = [rho*c for c in pris[1:-1]]
# Compute the energy
gamma = cfg.getfloat('constants', 'gamma')
E = p/(gamma - 1) + 0.5*rho*sum(c*c for c in pris[1:-1])
return [rho] + rhovs + [E]
@staticmethod
def con_to_pri(cons, cfg):
rho, E = cons[0], cons[-1]
# Divide momentum components by rho
vs = [rhov/rho for rhov in cons[1:-1]]
# Compute the pressure
gamma = cfg.getfloat('constants', 'gamma')
p = (gamma - 1)*(E - 0.5*rho*sum(v*v for v in vs))
return [rho] + vs + [p]
[docs]class EulerElements(BaseFluidElements, BaseAdvectionElements):
[docs] def set_backend(self, *args, **kwargs):
super().set_backend(*args, **kwargs)
# Can elide interior flux calculations at p = 0
if self.basis.order == 0:
return
# Register our flux kernels
self._be.pointwise.register('pyfr.solvers.euler.kernels.tflux')
self._be.pointwise.register('pyfr.solvers.euler.kernels.tfluxlin')
# Template parameters for the flux kernels
tplargs = {
'ndims': self.ndims,
'nvars': self.nvars,
'nverts': len(self.basis.linspts),
'c': self.cfg.items_as('constants', float),
'jac_exprs': self.basis.jac_exprs
}
# Helpers
c, l = 'curved', 'linear'
r, s = self._mesh_regions, self._slice_mat
if c in r and 'flux' not in self.antialias:
self.kernels['tdisf_curved'] = lambda uin: self._be.kernel(
'tflux', tplargs=tplargs, dims=[self.nupts, r[c]],
u=s(self.scal_upts[uin], c), f=s(self._vect_upts, c),
smats=self.curved_smat_at('upts')
)
elif c in r:
self.kernels['tdisf_curved'] = lambda: self._be.kernel(
'tflux', tplargs=tplargs, dims=[self.nqpts, r[c]],
u=s(self._scal_qpts, c), f=s(self._vect_qpts, c),
smats=self.curved_smat_at('qpts')
)
if l in r and 'flux' not in self.antialias:
self.kernels['tdisf_linear'] = lambda uin: self._be.kernel(
'tfluxlin', tplargs=tplargs, dims=[self.nupts, r[l]],
u=s(self.scal_upts[uin], l), f=s(self._vect_upts, l),
verts=self.ploc_at('linspts', l), upts=self.upts
)
elif l in r:
self.kernels['tdisf_linear'] = lambda: self._be.kernel(
'tfluxlin', tplargs=tplargs, dims=[self.nqpts, r[l]],
u=s(self._scal_qpts, l), f=s(self._vect_qpts, l),
verts=self.ploc_at('linspts', l), upts=self.qpts
)