Boundary Layer¶
Description¶
Analyze wallresolved boundary layers.
Parameters¶
 base:
Base
The input base.
 base:
 coordinates: list(str)
The physical Cartesian coordinate names.
 bl_type: str, default= aerodynamic
Type of boundary layer:
‘aerodynamic’: aerodynamic boundary layer
‘thermal’: thermal boundary layer
 edge_crit: int, default= 7
Criteria used for the boundary layer edge detection. Add the integer value associated to each criterion to get the chosen combination.
\(dV/ds < 1\%\)
Stock & Haase
isentropic velocity
isentropic Mach number
if edge_crit includes 8, then the edge results from the closest point from the wall above all criteria used. Otherwise, the edge comes from the average of all edges computed independent from each criteria.
e.g.: edge_crit = 5 means a mix between the criteria 1 and 4.
 wall_type: str, default= resolved
Type of wall resolution (‘resolved’ or ‘modeled’).
 mesh_type: str in [‘2D’, ‘2.5D’, ‘3D’], default= ‘3D’
Dimensionality of the mesh.
 max_bl_pts: int, default= 100
Maximum number of points in the boundary layer.
 added_bl_pts: int, default= 2
The number of points inside the boundary layer = number of calculated boundary layer points + added_bl_pts
 smoothing_cycles: int, default= 0
Number of smoothing cycles for boundary layer results.
 families: dict(str: int) or list(str)
Surface parts on which the boundary layer is to be computed.
If the value is a dictionary: The key value is a family name. This family name must be refered by the boundary condition objects. The boundary condition associated to this family name will be processed. The value associated to a key is a marker of the corresponding family. Two families may have the same marker.
As an example,
t[‘families’] = {‘WingExt’: 3, ‘Flap’: 4, ‘WingInt’: 3}
Both ‘WingExt’ and ‘WingInt’ families have the same marker. Then, all corresponding mesh points will be processed alltogether. They will be concatenated in the output base.
If the value is a list, then a different marker will be assigned to each item of the list.
As an example,
t[‘families’] = [‘WingExt’, ‘Flap’, ‘WingInt’]
Value 0 is special, and applied to all points that do not belong to an input family. So if you give a marker 0 to a family, then you will get all boundary conditions in the ouput base.
 only_profiles: bool, default= False
Only the profiles selected by profile_points will be calculated.
 profile_points: list(list(float)), default= []
Profiles will be plotted according to the surface points. If you give the coordinates of a point in the mesh, the boundary layer profile issued from the nearest point to the surface will be computed.
 bl_parameters: dict, default= {}
Dictionary with keys in [“2D_offset_vector”, “reference_Mach_number”, “reference_velocity”, “reference_pressure”, “reference_density”, “reference_temperature”, “Prandtl_number”, “gas_constant_gamma”, “gas_constant_R”]
 offsurf: int, default= 1
Distance from the wall. To get values on a surface lying at this distance from the wall.
 eps_Mis: float, default= 0.01
Threshold on the isentropic Mach number for edge_crit = 8.
 variables: list(str), default= [‘density’, ‘x_velocity’, ‘y_velocity’, ‘z_velocity’, ‘pressure’]
Names of the input primitive variables (density, velocity components, static pressure).
 nb_zone_passingthrough: int, default= 50
Maximum number of zone a vector could pass through. When the maximum is reached, the process will stop to propagate the vector (will be cut before the end).
 keep_interpolation_data: bool, default= False
Allow intermediary results (interpolation coefficients, C objects to remain instantiated in the treatment, in order not to be recomputed in a further call of the same treatement. Warning, the mesh must remain the same.
 instant_selection: int or str, default= 0
Instant name (or index) to execute in the base.
 change_input_data_type: bool, default= False
C routines need to have a specific type for the provided variables. Mostly float64 for float, and int32 for int. And C ordered tables. If the provided base does not have the correct type and ordering, a retyped/ordered copy is performed. To save memory, this copy could replace the input variable. This will avoid to keep both tables instantiated at the same time, but may increase the memory used in the initial base (as new copies will mostly use a bigger type size). This copy will only apply to coordinates and retrieved variables.
Preconditions¶
Zones must be unstructured.
Input flow field values must be dimensionalized. The standard variables named density, x_velocity, y_velocity, z_velocity and pressure must be given in instants.
If edge_crit >= 8, then the variables total_temperature and Mach_number must also be given.
Postconditions¶
Three output bases.
If you give the coordinates of a point in the mesh, it will compute the boundary layer profile issued from the nearest point to the surface.
A profile is a line issued from a point (mesh point) on a surface that is perpendicular to this surface. The points along the boundary layer profile are computed from the volume grid points. A point along the boundary layer profile is the result of the intersection between the normal and a face of a volume element.
Example¶
import antares
myt = antares.Treatment('Bl')
myt['base'] = base
myt['coordinates'] = ['points_xc', 'points_yc', 'points_zc']
myt['families'] = {'Slat': 2, 'Flap': 4, 'Main': 3}
myt['mesh_type'] = '2.5D'
myt['max_bl_pts'] = 50
myt['added_bl_pts'] = 2
myt['smoothing_cycles'] = 0
myt['only_profiles'] = False
myt['bl_type'] = 'aerodynamic' # 'aerodynamic' 'thermal'
myt['offsurf'] = 0.5
myt['profile_points'] = [[1.0 , 1.0 , 0.0],]
t['bl_parameters'] = {'2D_offset_vector': 2, 'gas_constant_R': 287.0,
'reference_Mach_number': 0.1715, 'reference_velocity': 36.4249853252,
'reference_pressure': 101325.0, 'reference_density': 3.14466310931,
'reference_temperature': 112.269190122, 'gas_constant_gamma': 1.4,
'Prandtl_number': 0.72, }
res_base, profbase, offsurfbase = t.execute()
Main functions¶
 class antares.treatment.codespecific.boundarylayer.TreatmentBl.TreatmentBl¶
This class is used to analyze boundary layers.
The treatment is divided in many parts. Some of them are developed in C language to get CPU performance. C routines are made available in python with the module ‘ctypes’.
read results and user parameters
build a volume element connectivity structure
compute the surface normals
interpolate the flow field values to the surface normals
compute the boundary layer edge see file calculate_boundary_layer_edge.c
define the local (s, n) coordinate system
compute the boundary layer values in the (s, n) coordinate system see file calculate_boundary_layer.c
modify the boundary layer edge
define the local (s, n) coordinate system
compute the boundary layer values in the (s, n) coordinate system
 static asvoid(arr)¶
View the array as dtype np.void (bytes).
Based on https://stackoverflow.com/a/16973510/190597(Jaime, 201306) The items along the last axis are viewed as one value. This allows comparisons to be performed which treat entire rows as one value.
 compute_constant_data(base)¶
Compute normal vectors and interpolation coefficients.
 compute_interzonetopo(base, cstzone, zone_loc_bnds)¶
Create additional boundary to consider elements coming from other zone when doing normal vector calculation.
 initialization()¶
Set the constant part.
Only needed once (both global then cstzone)
 merge_prism_layer(nb_zone_passingthrough)¶
Merge prism layer layer between additional vector and main one.
Notations:¶
Indices \(\displaystyle \delta\) and \(\displaystyle \infty\) are used respectively for the boundary layer edge and for the free stream conditions.
‘s’ denotes the coordinate of the streamwise direction, and ‘n’ the coordinate of the normal to the streamwise direction. ‘s’ and ‘n’ form the (s, n) streamlineoriented coordinate system. This coordinate system is curvilinear, orthogonal and attached to the surface.
Boundary layer profile (normal to the wall):¶
If asked, the profiles are output in a formated ascii file containing:
a first section (header) with free stream conditions (given as parameters):
Ma 
Mach number 
\(\displaystyle M_\infty\) 
P 
Pressure 
\(\displaystyle p_\infty\) 
Rho 
Density 
\(\displaystyle \rho_\infty\) 
T 
Temperature 

V 
Velocity modulus 
\(\displaystyle V_\infty\) 
Cp 
Pressure coefficient 

Ptot 
Total pressure 

Pdyn 
Dynamic pressure 
a section that is repeated as long as there are profiles:
Profile number 

requested 
Requested coordinates of the profile origin 
real 
True coordinates of the profile origin. Profiles are computed at surface grid points 
Normal vector 
Normal unit vector at the profile origin 
then come the integral values:
Del 
Boundary layer thickness 
Dels 
Displacement thickness [sdir] 
Deln 
Displacement thickness [ndir] 
Delt 
Thermal boundary layer thickness approximation 
Thtss 
Momentum thickness [sdir] 
Thtnn 
Momentum thickness [ndir] 
H12 
Incompressible shape factor 
then the wall values:
FirstLayer height 
a 
P 
Pressure 
cp 
Pressure coefficient 
cfsI, cfnI 
Skin friction coefficients [s, n dirs], \(\displaystyle V_\infty\) 
cfrI 
Resulting skin friction coefficient, \(\displaystyle V_\infty\) 
cfsD, cfnD 
Skin friction coefficients [s, n dirs], \(\displaystyle V_\delta\) 
cfrD 
Resulting skin friction coefficient, \(\displaystyle V_\delta\) 
Tw 
Temperature 
Rhow 
Density 
muew 
Dynamic viscosity 
nuew 
Kinematic viscosity 
Taus 
Shear stress component [sdir] 
Taun 
Shear stress component [ndir] 
Taur 
Resulting shear stress 
then the edge values:
Prism height 
Total height of the prism layer 
Vdel 
Velocity modulus 
Ma 
Mach number 
ptot 
Total pressure 
cp 
Pressure coefficient 
finally, come different values along the profile:
S 
Distance to the wall 
S/S_edge 
adimensionalized distance to the wall 
Vx, Vy, Vz 
Cartesian velocity components 
Vres/V_inf 
Velocity modulus normalized by the free stream velocity modulus 
Vs/Ve 
s normalized velocity component 
Vn/Ve 
n normalized velocity component 
beta 
Skew angle 
log10(Y+) 
logarithm of the nondimensional wall distance 
Vr/V 
Velocity modulus normalized by the shear stress velocity modulus 
Vr/V*_theo 
Velocity modulus normalized by the shear stress velocity modulus based on a flow over a flat plate (theory) 
Rho 
Density 
cp_static 
Static pressure coefficient 
cp_dyn 
Dynamic pressure coefficient 
Ptot 
Total pressure 
PtotLoss 
Total pressure loss 
T 
Temperature 
Ttot 
Total temperature 
Trec 
to be defined 
Vi 
Isentropic velocity modulus 
ViVr 
Isentropic velocity modulus  velocity modulus 
MassFlow 
Mass flow 
tke 
Turbulent Kinetic Energy 
mu_t/mu_l 
ratio of viscosities 
mu_t 
Eddy viscosity 
Mach 
Mach number 
Mach_is 
Isentropic Mach Number 
Boundary layer surface:¶
A surface contains in the mesh can be divided in many parts. A marker is a set of triangular and quadrilateral faces.
All the surfaces of a computation may be defined as families (or markers).
It can return a 2D field on the surface (or selected markers) with the following boundary layer quantities:
X, Y, Z 
Cartesian coordinates of the surface point 
VecNx, VecNy, VecNz 
Cartesian coordinates of the surface normal vector 
VxSurf, VySurf, VzSurf 
Cartesian velocity components close to the wall [first grid layer] for wall streamlines 
VxEdge, VyEdge, VzEdge 
Cartesian velocity components at the boundary layer edge for inviscid streamlines 
Vs, Vn 
s, n velocity components close to the wall 
beta_w 
Profile skew angle between wall and boundary layer edge in the s, n coordinate system 
Y+ 
Nondimensional wall distance 
delta 
Boundary layer thickness, \(\displaystyle \delta\) 
deltas 
Displacement thickness [sdir] based on the velocity at the boundary layer edge, \(\displaystyle \delta^{*}_s\) 
deltan 
Displacement thickness [ndir] based on the velocity at the boundary layer edge, \(\displaystyle \delta^{*}_n\) 
deltat 
Thermal boundary layer thickness, \(\displaystyle \delta_T\) (approximation) 
deltaes 
Kinetic energy thickness [sdir] 
deltaen 
Kinetic energy thickness [ndir]; 
thetass 
Momentum thickness [sdir], \(\displaystyle \theta_{ss}\) 
thetann 
Momentum thickness [ndir], \(\displaystyle \theta_{nn}\) 
H12 
Incompressible shape factor. A shape factor is used in boudary layer flow to determine the nature of the flow. The higher the value of H, the stronger the adverse pressure gradient. A large shape factor is an indicator of a boundary layer near separation. A high adverse pressure gradient can greatly reduce the Reynolds number at which transition into turbulence may occur. Conventionally, H = 2.59 (Blasius boundary layer) is typical of laminar flows, while H = 1.3  1.4 is typical of turbulent flows. 
Ptot 
Total pressure 
cp 
Pressure coefficient 
Ma_edge 
Mach number at the boundary layer edge 
CfsInf, CfnInf 
Skin friction coefficients [s, n dirs], \(\displaystyle V_\infty\) 
CfrInf 
Resulting skin friction coefficient, \(\displaystyle V_\infty\) 
CfsDel, CfnDel 
Skin friction coefficient [s, n dirs], \(\displaystyle V_\delta\) 
CfrDel 
Resulting skin friction coefficient, \(\displaystyle V_\delta\) 
maxEddyVisc 
Maximum eddy viscosity along the profile 
T_wall 
Wall temperature 
T_edge 
Temperature at the boundary layer edge 
T_rec 
Temperature at the boundary layer edge, TO BE DETAILED 
profTag 
Profile tag 
pointMeshIndex 
Index of the point in the array of grid points 
heightPrismLayers 
Total height of the prism layer 
nbPrismLayers 
Number of prism layers 
BlThickOutPrismThick, 
(delta  heightPrismLayers)/delta*100 
firstLayerHeight 
Height of the first prism layer 
ptsExceeded 
1 if the number of profile points is close to the maximum number of boundary layer points given as input, NOT YET AVAILABLE 
profFound 
100 tells that the boundary layer edge is found 
Lam/Turb 
Transition Laminar/Turbulent 
nbBlPts 
Number of points in the boundary layer 
The mathematical definitions are given below:
Displacement thicknesses (based on the velocity at the boundary layer edge): 
\(\displaystyle \delta^{*}_s = \int_0^\delta (1\frac{\rho}{\rho_\delta}\frac{V_s}{V_\delta}) ds\) (deltas), \(\displaystyle \delta^{*}_n = \int_0^\delta (1\frac{\rho}{\rho_\delta}\frac{V_n}{V_\delta}) ds\) (deltan) 
Momentum thicknesses: 
\(\displaystyle \theta_{ss} = \int_0^\delta \frac{\rho}{\rho_\delta}\frac{V_s}{V_\delta}(1\frac{V_s}{V_\delta}) ds\) (thetass), \(\displaystyle \theta_{nn} = \int_0^\delta \frac{\rho}{\rho_\delta}\frac{V_n}{V_\delta}(1\frac{V_n}{V_\delta}) ds\) (thetann) 
Kinetic energy thicknesses: 
\(\displaystyle \theta_{es} = \int_0^\delta \frac{\rho}{\rho_\delta}\frac{V_s}{V_\delta}(1\frac{V_s^2}{V_\delta^2}) ds\) (deltaes), \(\displaystyle \theta_{en} = \int_0^\delta \frac{\rho}{\rho_\delta}\frac{V_n}{V_\delta}(1\frac{V_n^2}{V_\delta^2}) ds\) (deltaen) 
Shape factors: 
\(\displaystyle H12 = \frac{\delta^{*}_s}{\theta_{ss}}\), \(\displaystyle H22 = \frac{\delta^{*}_n}{\theta_{nn}}\) 
Pressure coefficients: 
\(\displaystyle Cp = \frac{p  p_{\infty}}{\frac{1}{2}\rho_{\infty} V_{\infty}^2}\) (cp_static), \(\displaystyle Kp = \frac{p_{tot}  p_{\infty}}{\frac{1}{2}\rho_{\infty} V_{\infty}^2}\) (cp_dyn) 
Skin friction coefficients: 
\(\displaystyle Cf_{\delta} = (\mu_w + \mu_t) \frac{{\frac{\partial V}{\partial w}}_{_w}}{\frac{1}{2}\rho_w V_\delta^2}\), \(\displaystyle Cf_{\infty} = (\mu_w + \mu_t) \frac{{\frac{\partial V}{\partial w}}_{_w}}{\frac{1}{2}\rho_\infty V_\infty^2}\) 
\(\displaystyle Y^+ = Y \frac{V^\star}{\nu}\) 

Velocity normalized by the shear stress velocity: 
\(\displaystyle V^+ = \frac{V}{V^\star}\) 
Shear stress at the wall: 
\(\displaystyle \tau_w = \mu_w \frac{\partial u}{\partial y}\) 
Shear stress velocity (friction velocity) at the wall: 
\(\displaystyle V^\star = \sqrt{\frac{\tau_w}{\rho_w}}\) 
Total pressure loss: 
\(\displaystyle \frac{\Delta P_t}{P_t} = \frac{P_t  {P_t}_\infty}{{P_t}_\infty}\) (PtotLoss) 
Skew angles: 
\(\displaystyle \beta = \gamma  \gamma_\delta\), \(\displaystyle \beta_w = \gamma_w  \gamma_\delta\) 
Users must keep in mind the following restrictions when analyzing their results.
Restrictions:¶
Regions:¶
There are two types of regions where an exact boundary layer edge can not be found:
 The velocity component Vs becomes very small or zero:
 Stagnation point regions
At a stagnation point, Vs=0. Then, there is no boundary layer thickness. Near stagnation points, it is also difficult to find a boundary layer thickness accurately.
 Trailing edge regions
In thick trailing edge regions, Vs becomes very small.
 The surface normals do not leave the boundary layer:
 Intersection regions (wingbody, bodytail, etc)
The surface normal does not leak from the boundary layer.
The surface normal passes the boundary layer from another component first.
The surface normal hits another surface.
No accurate boundary layer edge can be found in these cases.
Thickness:¶
The best situation is when the boundary layer edge lies in the prism layer. In this case, the difference between the true boundary layer edge and the grid point laying on the profile that is upper (or lower) than this true edge is small.
If the boundary layer edge lies outside the prism layer, then the diffence may be more important. Of course, that depends on the mesh quality, but, in general, mesh cell ratio increase quite fast outside the prism layer. In this case, the computed boundary layer thickness can be overestimated, and the step between two successive points on the profile can be large. Then, it is necessary to check the displacement (or momentum) thickness to check the lower pointsand the upper point (respective to the boundary layer edge).
Boundary layer edge:¶
The edge of the boundary layer is detected with the following multistage algorithm.
A first guess of the boundary layer edge is made with four different methods
(see input parameter edge_crit) (function calculate_boundary_layer_edge()
):
the first derivative of the boundary layer profile velocity is smaller than the 1% and the step between one derivative and the previous one is smaller than the 0.01%. (function
edge_velocity_slope()
)\(\displaystyle \delta = \epsilon y_{max}\) with \(\displaystyle y_{max}\) is the wall distance for which the diagnostic function \(\displaystyle y^a \frac{\partial u}{\partial y}^b\) is maximum. The first 10 points are omitted from this maximum search. The constants for a turbulent boundary layer are evaluated from Coles velocity profiles: \(\displaystyle a=1, b=1, \epsilon = 1.936\). The constants for a laminar boundary layer come from quasisimilar compressible solutions including heat transfer effects: \(\displaystyle a=3.9, b=1, \epsilon = 1.294\). The reference is [STOCKHAASE].
the relative difference between the isentropic velocity and the velocity of the profile is smaller than a threshold.
\(\displaystyle V_r = \sqrt{V_x^2 + V_y^2 + V_z^2}\) and \(\displaystyle V_i = V_{\infty} \sqrt{\frac{2}{(\gamma1)*M_{\infty}^2} *(1(0.5*\frac{2*(PP_{\infty})}{\rho_{\infty}*V_{\infty}^2}*\gamma*M_{\infty}^2 + 1)^{(\gamma1)/\gamma}) + 1}\) and
The edge is the first point giving \(\displaystyle \frac{ V_r  V_i}{Vr} < \epsilon_{V_i}\) with \(\displaystyle \epsilon_{V_i} = 2.5 \, 10^{3}\)
If none, then the edge is given by \(\displaystyle \min{\frac{ V_r  V_i}{Vr}}\)
hypothesis: the isentropic Mach number is constant in the boundary layer. Comparing with the Mach number gives the edge. \(\displaystyle P_{t_{is}} = P_{ref} (T_t/T_{ref})^{\gamma/(\gamma1)}\), \(\displaystyle T_{t_{is}} = (P_{t_{is}}/P)^{(\gamma1)/\gamma}\), \(\displaystyle M_{is} = \sqrt{2 T_{t_{is}}1 / (\gamma1)}\)
\(\displaystyle \delta M = M_{is}  M\), \(\displaystyle \delta M_{min} = \min(\delta M)\), \(\displaystyle M_{is_{cor}} = M_{is}  \delta M_{min}\).
The edge is the first point giving \(\displaystyle  M  M_{is_{cor}} / M_{is_{cor}} < \epsilon_{M_{is}}\) with \(\displaystyle \epsilon_{M_{is}} = 0.01\) by default.
The boundary layer edge is at the position where the first derivative of “V+” becomes approximately zero.
Start defining a range for the edge search. This range, stored in “points”, will be the 160% of the first guess of the boundary layer edge.
The first step is to search the first maximum of the first derivative of “V+” and then, starting from this maximum, search where the first derivative is smaller than two. Once this first edge is found, the next maximum is compared to the first one. If it is bigger, search again the boundary layer edge starting from this new maximum.
When the final edge is found, perform two checks. If the thickness of the boundary layer is greater than two, move the edge back to the last maximun or minimum of the first derivate of “V+” before the distance to the wall is two.
The second check is done using the isentropic velocity. Search for the point where the isentropic velocity meets the profile velocity but only until three points below the current boundary layer edge. If the point is found, average it with the current edge to get the final and corrected boundary layer edge.
Interpolation:¶
The interpolation of the CFD values to the normal (profile) is done with a polynomial expansion of the form \(\displaystyle G^i = a + b x + c y\), which represents a linear variation of G in both x and y directions within a triangular element. The three constants a, b, and c are computed with the three triangle points. more details can be found in [CHUNG].
Note
Sutherland law for molecular viscosity: \(\displaystyle \mu = \frac{C_1 \sqrt{T_w}}{1+\frac{S}{T_w}}\)
with \(\displaystyle C_1 = 1.46 10^{6} kg.m^{1}.s^{1}.K^{1/2}\) and \(\displaystyle S = 112. K\)
(functions Skinfric()
of calculate_boundary_layer.c and bl_profile()
, clear_values()
of calculate_boundary_layer_edge.c)
Note
Function \(\displaystyle U^+\) versus \(\displaystyle y^+\):
linear part: \(\displaystyle U^+ = y^+\) for \(\displaystyle y^+ < 11.63\)
log part: \(\displaystyle U^+ = 5.75 * \log(y^+) + 5.5\) for \(\displaystyle y^+ > 11.63\)
Note
if not given, T_wall is computed with the equation of state of perfect gas: \(\displaystyle T_w = \frac{\gamma}{(\gamma1)C_p} \frac{P}{\rho}\) where \(\displaystyle C_p = 1,003.41 J.kg^{1}.K\) is here the specific heat at constant pressure (at T = 250 K), and \(\displaystyle \gamma = \frac{C_p}{C_v}\) given as input, with \(\displaystyle C_v\) the specific heat at constant volume
Note
The boundary layer thickness \(\displaystyle (\delta)\) is the average of a numerical value
(distance of the boundary layer edge from the wall) and a correlation value coming from
the shape factor (function Thickness()
of calculate_boundary_layer.c).
\(\displaystyle \delta = \frac{\delta_{sf}+\delta_{num}}{2}\)
\(\displaystyle \delta_{sf} = \delta^{*I} * (\frac{\theta_s^{I}}{\delta_s^{*I}} H_{1}+1)\) where the superscript I means that the incompressible formula is used and with \(\displaystyle H_{1}\) the mass flow shape factor computed with a correlation of Green [GREEN].
Note
\(\displaystyle \delta_T\) (deltat) is the E. Polhausen approximation of the thermal boundary layer thickness for Prandtl number greater than 0.6
\(\displaystyle \delta_T = \frac{\delta}{{Pr}^{1/3}}\)
Note
Numerical values that are not available as inputs are computed with:
\(\displaystyle M_a = \frac{V}{\sqrt(\gamma*R*T)}\)
\(\displaystyle P_{tot} = (1+.2*M_a*M_a)^{3.5} * P\) (so \(\displaystyle \gamma = 1.4\))
 GREEN
PROCUREMENT EXECUTIVE MINISTRY OF DEFENCE AERONAUTICAL RESEARCH COUNCIL REPORTS AND MEMORANDA no 3791 Prediction of Turbulent Boundary Layers and Wakes in Compressible Flow by a LagEntrainment Method By J. E. GREEN, D. J. WEEKS AND J. W. F. BRODMAN, Aerodynamics Dept., R.A.E, Farnborough
 STOCKHAASE
Hans W. Stock and Werner Haase. “Feasibility Study of e^N Transition Prediction in NavierStokes Methods for Airfoils”, AIAA Journal, Vol. 37, No. 10 (1999), pp. 11871196. https://doi.org/10.2514/2.612
 CHUNG
Computational Fluid Dynamics. T. J. Chung. Cambridge University Press, 2002. pp 273–275
Example¶
import os
if not os.path.isdir('OUTPUT'):
os.makedirs('OUTPUT')
import antares
r = antares.Reader('netcdf')
r['filename'] = os.path.join('..', 'data', 'BL', 'EUROLIFT_2D', 'grid1_igs_Local_Sweep.nc')
base = r.read()
r = antares.Reader('netcdf')
r['base'] = base
r['filename'] = os.path.join('..', 'data', 'BL', 'EUROLIFT_2D', 'sol_Local_Sweep_ETW1.pval.30000')
r.read()
t = antares.Treatment('Bl')
t['base'] = base
t['coordinates'] = ['points_xc', 'points_yc', 'points_zc']
t['families'] = {'Slat_2': 2, 'Flap_4': 4, 'Main_3': 3}
t['mesh_type'] = '2.5D'
t['max_bl_pts'] = 50
t['added_bl_pts'] = 2
t['smoothing_cycles'] = 0
t['only_profiles'] = False
t['bl_type'] = 'thermal' # 'aerodynamic' 'thermal'
t['bl_type'] = 'aerodynamic' # 'aerodynamic' 'thermal'
t['offsurf'] = 0.5
t['profile_points'] = [[1.0 , 1.0 , 0.0],
[2.0 , 1.0 , 0.0],
[3.0 , 1.0 , 0.0],
[5.0 , 1.0 , 0.0],
[7.0 , 1.0 , 0.0],
[9.0 , 1.0 , 0.0],
[10.0, 1.0, 0.0],
[15.0, 1.0, 0.0]
]
t['bl_parameters'] = {'2D_offset_vector': 2, 'gas_constant_R': 287.0,
'reference_Mach_number': 0.1715, 'reference_velocity': 36.4249853252,
'reference_pressure': 101325.0, 'reference_density': 3.14466310931,
'reference_temperature': 112.269190122, 'gas_constant_gamma': 1.4,
'Prandtl_number': 0.72, }
res_base, profbase, offsurfbase = t.execute()
w = antares.Writer('bin_tp')
w['base'] = res_base
w['filename'] = os.path.join('OUTPUT', 'ex_blsurf.plt')
w.dump()
if offsurfbase:
w = antares.Writer('bin_tp')
w['base'] = offsurfbase
w['filename'] = os.path.join('OUTPUT', 'ex_offblsurf.plt')
w.dump()