Commit e2798235 authored by Lambert Theisen's avatar Lambert Theisen 🚀

Add new R13 P2P1P2P1P1 testcase with validation tests

parent 8a35a97a
# General
# =======
# - output_folder: Used as output folder
output_folder: r13_1_coeffs_nosources_norot_inflow_p1p2p1p1p2_nostab
# Meshes
# ======
# - meshes: List of input meshes in h5 format to run simulations on
meshes:
- ../mesh/ring0.h5
- ../mesh/ring1.h5
- ../mesh/ring2.h5
- ../mesh/ring3.h5
- ../mesh/ring4.h5
# - ../mesh/ring5.h5
# - ../mesh/ring6.h5
# - ../mesh/ring7.h5
# - ../mesh/ring8.h5
# Numerical Parameters
# ====================
# - elements: Must contain the fields: theta, s, p, u, sigma
# - fields: List of FEM parameters (shape, degree)
# - shape: Element shape, e.g. Lagrange
# - degree: Element degree, e.g. 2
# - stabilization: Must contain cip
# - cip: Collection of Continous Interior Penalty (CIP) parameters
# - enable: Enable CIP stabilization
# - delta_theta: Stabilization of grad(T)*grad(T_test) over edge
# - delta_u: Stabilization of grad(u)*grad(u_test) over edge
# - delta_p: Stabilization of grad(p)*grad(p_test) over edge
elements:
theta:
shape: Lagrange
degree: 1
s:
shape: Lagrange
degree: 2
p:
shape: Lagrange
degree: 1
u:
shape: Lagrange
degree: 1
sigma:
shape: Lagrange
degree: 2
stabilization:
cip:
enable: False
delta_theta: 1.0
delta_u: 1.0
delta_p: 0.01
# Formulation Parameters
# ======================
# - nsd: Number of spatial dimensions == 2
# - mode: Formulation mode, one of heat, stress, r13
# - kn: Knudsen numberkn
# - chi_tilde: Refaction coefficient in Maxwell accomodation model
# - heat_source: Heat source function for mode==heat||r13
# - mass_source: Mass source function for mode==stress||r13
# - body_force: Body force for mode==stress||r13
nsd: 2
mode: r13
kn: 1.0
chi_tilde: 1.0
heat_source: 0
mass_source: 0
body_force: [0,0]
# Boundary Conditions
# ===================
# - bcs: Dictionary of all boundary IDs from mesh
# - bc_id: must contain theta_w, u_t_w, u_n_w, p_w, epsilon_w
# - theta_w: Value for temperature at wall
# - u_t_w: Value for tangential velocity at wall
# - u_n_w: Value for normal velocity at wall
# - p_w: Value for pressure at wall
# - epsilon_w: Inflow-model parameter <=> Weight of pressure prescription
bcs:
3000:
theta_w: 1
u_t_w: 0
u_n_w: 0
p_w: 0
epsilon_w: pow(10,-3)
3100:
theta_w: 2
u_t_w: -1.00 * sin(phi)
u_n_w: +1.00 * cos(phi)
p_w: -0.27 * cos(phi)
epsilon_w: pow(10,+3)
# Convergence Study
# =================
# - enable: Enable convergence study on given meshes
# - exact_solution: Path to exact solution in cpp-format to compare errors
# - plot: Show errors in matplotlib window. PDF output is always per default.
# - write_systemmatrix: Writes out systemmatrix (LHS) to use for analysis
# - rescale_pressure: Rescale numerical pressure result to have zero mean
# - relative_errors: Use relative errors. If exact sol. is zero, use absolute.
convergence_study:
enable: True
exact_solution: esols/1_coeffs_nosources_norot_inflow.cpp
plot: False
write_systemmatrix: False
rescale_pressure: False
relative_error: True
# Postprocessing
# ==============
# - write_pdfs: Write all solution fields as PDF plot
# - massflow: List of BC IDs to compute massflow J=int_bc dot(u,n) ds
postprocessing:
write_pdfs: False
massflow: []
# Parameter Study
# ==============
# - enable: Repeat simulation with different p. values (study)
# - parameter_key: Key as list, e.g. ["elemenets", "p", "degree"]
# - parameter_values: List of value for parameter, e.g. [0.01,0.1,1,10]
parameter_study:
enable: False
parameter_key: []
parameter_values: []
\ No newline at end of file
h,theta_L_2,theta_l_inf,sx_L_2,sx_l_inf,sy_L_2,sy_l_inf,p_L_2,p_l_inf,ux_L_2,ux_l_inf,uy_L_2,uy_l_inf,sigmaxx_L_2,sigmaxx_l_inf,sigmaxy_L_2,sigmaxy_l_inf,sigmayy_L_2,sigmayy_l_inf
0.9886573325052778,0.0143768913243,0.0167763774855,0.154427796117,0.212905569859,0.170021307007,0.189184423016,0.222665842777,0.38785328282,0.946625073133,0.567225546841,0.310747128191,0.414217805868,0.376671752432,0.462493535845,0.833076883105,0.836036693911,0.546864985397,0.607810788706
0.6340332990709842,0.0207579137652,0.0367173799369,0.169037418712,0.248093709767,0.163463969828,0.130693891918,0.665027312211,0.8072723145,2.01920543274,0.91507796314,0.701235155631,0.781210911785,1.47078769847,1.04351764263,1.49146487718,1.08353617431,2.00889778669,1.3755469062
0.32904683851469807,0.0130451011078,0.0214463940876,0.11719988638,0.135578567567,0.0945258805968,0.0635837546267,0.478092455792,0.458272915175,1.30107452488,0.646522741078,0.454477192923,0.649877565913,0.875180306235,0.718588084973,1.07272217111,0.790755661626,1.03959737869,0.753488608423
0.16754966839339377,0.00244245700739,0.00484554351159,0.0224211862256,0.0282299306717,0.0191812627504,0.0141904437469,0.0888811739689,0.0840260609066,0.220940884681,0.113340275219,0.0826896049548,0.151911670261,0.155970621267,0.128324961683,0.195690972003,0.153115738912,0.190054619914,0.139421512179
0.08734460120995041,0.000595068041661,0.00121440933827,0.0055147176246,0.00700562569891,0.00471691302173,0.00347684971707,0.0217752311678,0.0216173663209,0.0531285069094,0.0331765062864,0.0204957947248,0.0441530177482,0.0379894104042,0.0316570167234,0.0479717016566,0.0387767133382,0.0457767021787,0.0339001090382
......@@ -161,3 +161,40 @@ class TestR13Convergence(object):
errors = name + "/" + "errors.csv"
referrors = "referrors/" + name + "/errors.csv"
self.compare_errors(errors, referrors)
def test_r13_1_coeffs_nosources_norot_inflow_p1p2p1p1p2_nostab(self):
r"""
Execute full linear R13 system test and check with reference errors.
Use Generalized Taylor-Hood elements (P2P1P2P1P1) w.o. stabilization.
Test case is similar to [TOR2017]_.
.. [TOR2017] Torrilhon, M. et al. (2017). “Hierarchical Boltzmann
simulations and model error estimation”. In: Journal of
Computational Physics 342 (2017), pp. 66–84.
==================== ===================================================
Parameter Value
==================== ===================================================
:math:`Kn` :math:`1.0`
:math:`\dot{m}` :math:`0`
:math:`r` :math:`0`
:math:`\theta_w^1` :math:`1.0`
:math:`v_t^1` :math:`0`
:math:`v_n^1` :math:`0`
:math:`p_w^1` :math:`0`
:math:`\epsilon_w^1` :math:`10^{-3}`
:math:`\theta_w^2` :math:`2.0`
:math:`v_t^2` :math:`-1.00 \sin(\phi)`
:math:`v_n^2` :math:`+1.00 \cos(\phi)`
:math:`p_w^2` :math:`-0.27 \cos(\phi)`
:math:`\epsilon_w^2` :math:`10^{3}`
Elements :math:`P_1P_2P_1P_1P_2`
Stabilization Off
==================== ===================================================
"""
name = "r13_1_coeffs_nosources_norot_inflow_p1p2p1p1p2_nostab"
self.run_solver("inputs/" + name + ".yml")
errors = name + "/" + "errors.csv"
referrors = "referrors/" + name + "/errors.csv"
self.compare_errors(errors, referrors)
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