def BrefBrs(params, outkeys):
Inform.Display(params['nodes'], params['itera'], 'BrefBrs')
bar = progressbar.ProgressBar(widgets=[progressbar.Bar(), ' (', progressbar.ETA(), ') '])
outnames = {key: DataOut( name = outkeys[key], method = 'brs', nd = params['nodes'],
it = params['itera'], pic = params['picit']) for key in outkeys}
n = Stepsize()
for u in range(n.st):
step = params['tend']/n.step[u]
p = Particle(params['nodes'], n.step[u])
p.S, p.ST, p.SQ, p.Sx, p.QQ, p.Q, p.dt, p.wi = p.GetMatrices(params['nodes'], 0.0, step)
bar = progressbar.ProgressBar()
for i in bar(range(int(n.step[u]))):
p.SweeperNoVelUp(params['nodes'], params['itera'], p.x, p.v, p.x0, p.v0, p.x_, p.v_, 'IntegrateOff')
p.UpdateDat(params['nodes'])
if p.P.Bound(p.xend[params['nodes'] - 1, :]):
lastpnt = i
break
p.GetBrefPoint(i, params['nodes'], step, p.xend, p.vend, p.dt)
p.GetStanDev(step, outnames['deviation'].fullname, params)
p.RHSeval(params, outnames['deviation'].fullname, 'BrefBrs')
def ConvergenceBrs(params, outkeys):
Inform.Display(params['nodes'], params['itera'], 'ConvergenceBrs')
bar = progressbar.ProgressBar(widgets=[progressbar.Bar(), ' (', progressbar.ETA(), ') '])
outnames = {key: DataOut( name = outkeys[key], method = 'brs', nd = params['nodes'],
it = params['itera'], pic = params['picit']) for key in outkeys}
n = Stepsize()
omdt = np.zeros(n.st)
xpos = np.zeros([n.st, 3])
for u in range(n.st):
step = params['tend']/n.step[u]
p = Particle(params['nodes'], n.step[u])
p.S, p.ST, p.SQ, p.Sx, p.QQ, p.Q, p.dt, p.wi = p.GetMatrices(params['nodes'], 0.0, step)
bar = progressbar.ProgressBar()
for i in bar(range(int(n.step[u]))):
p.SweeperNoVelUp(params['nodes'], params['itera'], p.x, p.v, p.x0, p.v0, p.x_, p.v_, 'IntegrateOff')
p.UpdateDat(params['nodes'])
if p.P.Bound(p.xend[params['nodes'] - 1, :]):
lastpnt = i
break
xpos[u, :] = p.xend[params['nodes']-1, :]
omdt[u] = step*p.P.om_c
dat = open(outnames['convergence'].fullname, "w")
for u in range(n.st - 1):
ierror = abs(xpos[u, 0] - xpos[u+1, 0])/abs(xpos[u, 0])
dat.write('%e %.16e\n' % (omdt[u], ierror))
dat.close()
def ConvergenceGMRes(params, outkeys, keyinteg):
Inform.Display(params['nodes'], params['itera'], 'ConvergenceGMRes')
bar = progressbar.ProgressBar(widgets=[progressbar.Bar(), ' (', progressbar.ETA(), ') '])
outnames = {key: DataOut( name = outkeys[key], method = 'gm', nd = params['nodes'],
it = params['itera'], pic = params['picit']) for key in outkeys}
type = 'lobatto'
integrate = True
bfield = False
n = Stepsize()
omdt = np.zeros(n.st)
xpos = np.zeros([n.st, 3])
xvel = np.zeros([n.st, 3])
for u in range(n.st):
step = params['tend']/n.step[u]
p = Particle(params['nodes'], n.step[u])
gmres = gmres_sdc(dt = step, nodes = params['nodes'], kiter = params['itera'], pic = params['picit'],
nsteps = int(n.step[u]), type=type, integrate=integrate)
x_gm, v_gm, stats = gmres.run(bfield = bfield, outnames = outnames, params = params)
xpos[u, :] = x_gm[:, int(n.step[u])]
xvel[u, :] = v_gm[:, int(n.step[u])]
omdt[u] = step*p.P.om_c
Inform.storePositions(outnames['positions'].fullname, n.st, xpos, omdt)
Inform.storeConverg(outnames['convergence'].fullname, n.st - 1, xpos, omdt)
def ConvergenceSDC(params, outkeys, keyinteg):
Inform.Display(params['nodes'], params['itera'], 'ConvergenceSDC')
bar = progressbar.ProgressBar(widgets=[progressbar.Bar(), ' (', progressbar.ETA(), ') '])
outnames = {key: DataOut( name = outkeys[key], method = 'sdc', nd = params['nodes'],
it = params['itera'], pic = params['picit']) for key in outkeys}
n = Stepsize()
omdt = np.zeros(n.st)
xpos = np.zeros([n.st, 3])
for u in range(n.st):
step = params['tend']/n.step[u]
p = Particle(params['nodes'], n.step[u])
p.S, p.ST, p.SQ, p.Sx, p.QQ, p.Q, p.dt, p.wi = p.GetMatrices(params['nodes'], 0.0, step)
bar = progressbar.ProgressBar()
for i in bar(range(int(n.step[u]))):
p.Sweeper(params['nodes'], params['itera'], p.x, p.v, p.x0, p.v0, p.x_, p.v_, keyinteg)
p.UpdateDat(params['nodes'])
if p.P.Bound(p.xend[params['nodes'] - 1, :]):
lastpnt = i
break
xpos[u, :] = p.xend[params['nodes']-1, :]
omdt[u] = step*p.P.om_c
Inform.storePositions(outnames['positions'].fullname, n.st, xpos, omdt)
Inform.storeConverg(outnames['convergence'].fullname, n.st - 1, xpos, omdt)
def EnergyBrs(params, outkeys, numsteps):
Inform.Display(params['nodes'], params['itera'], 'EnergyBrs')
lastpnt = 0
bar = progressbar.ProgressBar(widgets=[progressbar.Bar(), ' (', progressbar.ETA(), ') '])
outnames = {key: DataOut( name = outkeys[key], method = 'brs', nd = params['nodes'],
it = params['itera'], pic = params['picit']) for key in outkeys}
step = params['tend']/numsteps
p = Particle(params['nodes'], numsteps)
p.S, p.ST, p.SQ, p.Sx, p.QQ, p.Q, p.dt, p.wi = p.GetMatrices(params['nodes'], 0.0, step)
bar = progressbar.ProgressBar()
for i in bar(range(int(numsteps))):
p.SweeperNoVelUp(params['nodes'], params['itera'], p.x, p.v, p.x0, p.v0, p.x_, p.v_, 'IntegrateOff')
p.UpdateDat(params['nodes'])
p.crd[i, :] = p.xend[params['nodes'] - 1, :]
p.vls[i, :] = p.vend[params['nodes'] - 1, :]
p.nrg[i] = abs(p.Ekin0 - np.dot(p.vls[i,:], p.vls[i,:])/2.0)/p.Ekin0
if p.P.Bound(p.xend[params['nodes'] - 1, :]):
lastpnt = i
break
if lastpnt != 0:
datanum = lastpnt
else:
datanum = numsteps
Inform.storeEnergy(outnames['totalenergy'].fullname, datanum, p.nrg)
def EnergyGMRes(params, outkeys, keyinteg, numsteps):
Inform.Display(params['nodes'], params['itera'], 'EnergyGMRes')
lastpnt = 0
bar = progressbar.ProgressBar(
widgets=[progressbar.Bar(), ' (',
progressbar.ETA(), ') '])
outnames = {
key: DataOut(name=outkeys[key],
method='gm',
nd=params['nodes'],
it=params['itera'],
pic=params['picit'])
for key in outkeys
}
type = 'lobatto'
integrate = True
bfield = False
step = params['tend'] / numsteps
p = Particle(params['nodes'], numsteps)
gmres = gmres_sdc(dt=step,
nodes=params['nodes'],
kiter=params['itera'],
pic=params['picit'],
nsteps=numsteps,
type=type,
integrate=integrate)
x_gm, v_gm, stats = gmres.run(bfield=bfield,
outnames=outnames,
params=params)
Inform.storeEnergy(outnames['totalenergy'].fullname, numsteps,
stats['energy_errors'])
def Trajectory(params, outkeys, keyinteg, numsteps):
Inform.Display(params['nodes'], params['itera'], 'Trajectory')
lastpnt = 0
bar = progressbar.ProgressBar(
widgets=[progressbar.Bar(), ' (',
progressbar.ETA(), ') '])
outnames = {
key: DataOut(name=outkeys[key],
method='sdc',
nd=params['nodes'],
it=params['itera'],
pic=params['picit'])
for key in outkeys
}
step = params['tend'] / numsteps
p = Particle(params['nodes'], numsteps)
p.S, p.ST, p.SQ, p.Sx, p.QQ, p.Q, p.dt, p.wi = p.GetMatrices(
params['nodes'], 0.0, step)
bar = progressbar.ProgressBar()
for i in bar(range(int(numsteps))):
p.Sweeper(params['nodes'], params['itera'], p.x, p.v, p.x0, p.v0,
p.x_, p.v_, keyinteg)
p.UpdateDat(params['nodes'])
p.crd[i, :] = p.xend[params['nodes'] - 1, :]
p.vls[i, :] = p.vend[params['nodes'] - 1, :]
p.mu[i] = (p.vmod**2 - (p.vmod * p.phi)**2) / p.P.Bmod(
p.xend[params['nodes'] - 1, :])
if p.P.Bound(p.xend[params['nodes'] - 1, :]):
lastpnt = i
break
if lastpnt != 0:
datanum = lastpnt
else:
datanum = numsteps
dat = open(outnames['trajectory'].fullname, "w")
for u in range(datanum):
if ((u + 1) % 100) == 0:
dat.write('%e %e %e\n' %
(p.crd[u, 0], p.crd[u, 1], p.crd[u, 2]))
dat.close()
def BrefGMRes(params, outkeys, keyinteg):
Inform.Display(params['nodes'], params['itera'], 'BrefGMRes')
bar = progressbar.ProgressBar(widgets=[progressbar.Bar(), ' (', progressbar.ETA(), ') '])
outnames = {key: DataOut( name = outkeys[key], method = 'gm', nd = params['nodes'],
it = params['itera'], pic = params['picit']) for key in outkeys}
type = 'lobatto'
integrate = True
bfield = True
n = Stepsize()
for u in range(n.st):
step = params['tend']/n.step[u]
p = Particle(params['nodes'], n.step[u])
gmres = gmres_sdc(dt = step, nodes = params['nodes'], kiter = params['itera'], pic = params['picit'],
nsteps = int(n.step[u]), type=type, integrate=integrate)
x_gm, v_gm, stats = gmres.run(bfield = bfield, outnames = outnames, params = params)
p.RHSeval(params, outnames['deviation'].fullname, 'BrefGMRes')