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63 changes: 63 additions & 0 deletions Python/linear_stability/boussinesq/shell/tc/trace_marginal.py
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"""Script to run a marginal curve trace for the Boussinesq thermal convection in a spherical shell (Toroidal/Poloidal formulation)"""

import numpy as np

import quicc_solver.model.boussinesq.shell.tc.physical_model as mod
import quicc.linear_stability.marginal_curve as MarginalCurve

# Create the model and activate linearization
model = mod.PhysicalModel()
model.linearize = True
model.use_galerkin = False

# Set resolution, parameters, boundary conditions
res = [64, 0, 0]
bc_vel = 0 # 0: NS/NS
bc_temp = 0 # 0: FT/FT
#l = 2; eq_params = {'prandtl':1, 'rayleigh':3.0468e4, 'ro':1, 'rratio':0.2, 'heating':0}
#l = 2; eq_params = {'prandtl':1, 'rayleigh':3.0468e4, 'ro':1, 'rratio':0.3, 'heating':0}
#l = 3; eq_params = {'prandtl':1, 'rayleigh':3.0468e4, 'ro':1, 'rratio':0.4, 'heating':0}
l = 4; eq_params = {'prandtl':1, 'rayleigh':3.0468e4, 'ro':1, 'rratio':0.5, 'alpha':1, 'beta':1, 'gamma':0.8}
#l = 6; eq_params = {'prandtl':1, 'rayleigh':3.0468e4, 'ro':1, 'rratio':0.6, 'heating':0}
#l = 14; eq_params = {'prandtl':1, 'rayleigh':3.0468e4, 'ro':1, 'rratio':0.8, 'heating':0}

#res = [64, 0, 0]
#bc_vel = 1 # SF/SF
#bc_temp = 0 # 0: FT/FT
#l = 1; eq_params = {'prandtl':1, 'rayleigh':3.0468e4, 'ro':1, 'rratio':0.2, 'heating':0}
#l = 2; eq_params = {'prandtl':1, 'rayleigh':3.0468e4, 'ro':1, 'rratio':0.3, 'heating':0}
#l = 2; eq_params = {'prandtl':1, 'rayleigh':3.0468e4, 'ro':1, 'rratio':0.4, 'heating':0}
#l = 3; eq_params = {'prandtl':1, 'rayleigh':3.0468e4, 'ro':1, 'rratio':0.5, 'heating':0}
#l = 4; eq_params = {'prandtl':1, 'rayleigh':3.0468e4, 'ro':1, 'rratio':0.6, 'heating':0}
#l = 10; eq_params = {'prandtl':1, 'rayleigh':3.0468e4, 'ro':1, 'rratio':0.8, 'heating':0}

bcs = {'bcType':model.SOLVER_HAS_BC, 'velocity':bc_vel, 'temperature':bc_temp}

# Wave number function from single "index" (k perpendicular)
def wave(l):
return [float(l)]

eigs = wave(l)

# Collect GEVP setup parameters into single dictionary
gevp_opts = {'model':model, 'res':res, 'eq_params':eq_params, 'eigs':eigs, 'bcs':bcs, 'wave':wave}

# Setup computation, visualization and IO
marginal_options = MarginalCurve.default_options()
marginal_options['mode'] = 1
marginal_options['evp_tol'] = 1e-16
marginal_options['geometry'] = 's1d'
marginal_options['curve'] = True
marginal_options['minimum'] = True
marginal_options['minimum_int'] = True
marginal_options['plot_curve'] = True
marginal_options['solve'] = False
marginal_options['point_k'] = l
marginal_options['plot_point'] = True
marginal_options['plot_spy'] = False
marginal_options['show_spectra'] = True
marginal_options['show_physical'] = True
marginal_options['curve_points'] = np.arange(max(1, l-10), l+11, 1)

# Compute
MarginalCurve.compute(gevp_opts, marginal_options)
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