def case_solver(self, nx, ny, xnum, flux):
meshsim = mesh2d.unimesh(nx, ny)
bcper = {'type': 'per'}
bclist = {tag: bcper for tag in meshsim.list_of_bctags()}
model = euler.euler2d()
rhs = modeldisc.fvm2d(model,
meshsim,
num=xnum,
numflux=flux,
bclist=bclist)
solver = integ.rk3ssp(meshsim, rhs)
def fuv(x, y):
return euler.datavector(0. * x + .4, 0. * x + .2)
def fp(x, y): # gamma = 1.4
return 0. * x + 1.
def frho(x, y):
return 1.4 * (1 + .2 * np.exp(-((x - .5)**2 + (y - .5)**2) /
(.1)**2))
xc, yc = meshsim.centers()
finit = rhs.fdata_fromprim([frho(xc, yc),
fuv(xc, yc),
fp(xc, yc)]) # rho, (u,v), p
return solver, finit
def case_solver(self, nx, ny, xnum, flux, bcL, bcR):
meshsim = mesh2d.unimesh(nx, ny)
bcsym = {'type': 'sym'}
bclist = {'top': bcsym, 'bottom': bcsym, 'left': bcL, 'right': bcR}
model = euler.euler2d()
rhs = modeldisc.fvm2d(model,
meshsim,
num=xnum,
numflux=flux,
bclist=bclist)
solver = integ.rk3ssp(meshsim, rhs)
finit = rhs.fdata_fromprim([1., [0.8, 0.], 1.]) # rho, (u,v), p
return solver, finit
import cProfile
import matplotlib.pyplot as plt
import numpy as np
import flowdyn.mesh2d as mesh2d
from flowdyn.field import *
from flowdyn.xnum import *
import flowdyn.integration as integ
import flowdyn.modelphy.euler as euler
import flowdyn.modeldisc as modeldisc
#import flowdyn.solution.euler_riemann as sol
nx = 100
ny = 100
meshsim = mesh2d.unimesh(nx, ny)
model = euler.euler2d()
#bcL = { 'type': 'insub', 'ptot': 1.4, 'rttot': 1. }
bcR = { 'type': 'outsub', 'p': 1. }
rhs = modeldisc.fvm2d(model, meshsim, num=None, numflux='centered', bclist={} )
solver = integ.rk4(meshsim, rhs)
# computation
#
endtime = 5.
cfl = 2.
# initial functions
import flowdyn.mesh2d as mesh2d
from flowdyn.field import *
import flowdyn.xnum as xn
import flowdyn.integration as tn
import flowdyn.modelphy.euler as euler
import flowdyn.modeldisc as modeldisc
#import flowdyn.solution.euler_riemann as sol
nx = 100
ny = 100
lx = 10
ly = 10
gam = 1.4
b = 1.5
meshsim = mesh2d.unimesh(nx, ny, lx, ly)
model = euler.euler2d()
bcper = {'type': 'per'}
bcsym = {'type': 'sym'}
xnum = xn.extrapol2dk(k=1. / 3.)
#xnum=xn.extrapol2d1()
rhs = modeldisc.fvm2d(model,
meshsim,
num=xnum,
numflux='hlle',
bclist={
'left': bcper,
'right': bcper,
'top': bcper,