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The SKIRT project
advanced radiative transfer for astrophysics
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The SKIRT project
advanced radiative transfer for astrophysics
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#include <ParaboloidShellGeometry.hpp>
Public Member Functions | |
| double | density (double R, double z) const override |
| Position | generatePosition () const override |
| double | innerOffsetZ () const |
| double | innerOpeningAngle () const |
| double | innerRadialExtent () const |
| double | outerOffsetZ () const |
| double | outerOpeningAngle () const |
| double | SigmaR () const override |
| double | SigmaZ () const override |
| Public Member Functions inherited from AxGeometry | |
| double | density (Position bfr) const override |
| int | dimension () const override |
| double | SigmaX () const override |
| double | SigmaY () const override |
| Public Member Functions inherited from SimulationItem | |
| template<class T> | |
| T * | find (bool setup=true) const |
| template<class T> | |
| T * | interface (int levels=-999999, bool setup=true) const |
| virtual string | itemName () const |
| void | setup () |
| string | typeAndName () const |
| Public Member Functions inherited from Item | |
| Item (const Item &)=delete | |
| virtual | ~Item () |
| void | addChild (Item *child) |
| const vector< Item * > & | children () const |
| virtual void | clearItemListProperty (const PropertyDef *property) |
| void | destroyChild (Item *child) |
| virtual bool | getBoolProperty (const PropertyDef *property) const |
| virtual vector< double > | getDoubleListProperty (const PropertyDef *property) const |
| virtual double | getDoubleProperty (const PropertyDef *property) const |
| virtual string | getEnumProperty (const PropertyDef *property) const |
| virtual int | getIntProperty (const PropertyDef *property) const |
| virtual vector< Item * > | getItemListProperty (const PropertyDef *property) const |
| virtual Item * | getItemProperty (const PropertyDef *property) const |
| virtual string | getStringProperty (const PropertyDef *property) const |
| int | getUtilityProperty (string name) const |
| virtual void | insertIntoItemListProperty (const PropertyDef *property, int index, Item *item) |
| Item & | operator= (const Item &)=delete |
| Item * | parent () const |
| virtual void | removeFromItemListProperty (const PropertyDef *property, int index) |
| virtual void | setBoolProperty (const PropertyDef *property, bool value) |
| virtual void | setDoubleListProperty (const PropertyDef *property, vector< double > value) |
| virtual void | setDoubleProperty (const PropertyDef *property, double value) |
| virtual void | setEnumProperty (const PropertyDef *property, string value) |
| virtual void | setIntProperty (const PropertyDef *property, int value) |
| virtual void | setItemProperty (const PropertyDef *property, Item *item) |
| virtual void | setStringProperty (const PropertyDef *property, string value) |
| void | setUtilityProperty (string name, int value) |
| virtual string | type () const |
Protected Member Functions | |
| ParaboloidShellGeometry () | |
| void | setupSelfBefore () override |
| Protected Member Functions inherited from AxGeometry | |
| AxGeometry () | |
| Protected Member Functions inherited from Geometry | |
| Geometry () | |
| Random * | random () const |
| Protected Member Functions inherited from SimulationItem | |
| SimulationItem () | |
| virtual bool | offersInterface (const std::type_info &interfaceTypeInfo) const |
| virtual void | setupSelfAfter () |
| Protected Member Functions inherited from Item | |
| Item () | |
Private Types | |
| using | BaseType |
| using | ItemType |
Friends | |
| class | ItemRegistry |
The ParaboloidShellGeometry class is a subclass of the AxGeometry class and describes the geometry defined by two paraboloid surfaces. It may be used to represent dusty outflows.
The current implementation allows only a constant density distribution, bounded by two paraboloid surfaces of the form
\[ z=\frac{\rho^2}{a^2} \]
and two horizontal planes paralel to the xy plane, \(\pm (z_{\text{max}}+z_{\text{in}})\). There are five free parameters describing this dust geometry: the radial extent of the inner paraboloid \(D_{\text{in}}\), the two half opening angles \(\Delta_{\text{in}}\) and \(\Delta_{\text{out}}\), and the two offsets of the paraboloid vertices in the z direction \(z_{\text{in}}\) and \(z_{\text{out}}\). The radial extent correspond to the length of the line connecting the inner paraboloid vertex and its top for a given half opening angle of the paraboloid; the half opening angles are measured from the z axis to the radial extent line. The paraboloid height, radius and curvature level are determined by the radial extent and half opening angle.
This item type is displayed only if the Boolean expression "Level2" evaluates to true after replacing the names by true or false depending on their presence.
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inlineprotected |
Default constructor for concrete Item subclass ParaboloidShellGeometry: "a paraboloid shell geometry".
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overridevirtual |
This function returns the density \(\rho\) at the cylindrical radius \(R\) and height \(z\). For the present geometry, it returns a constant density for positions inside the paraboloid shell, and zero for positions outside the paraboloid shell.
Implements AxGeometry.
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overridevirtual |
This function generates a random position from the probability density \(p({\bf{r}})\, {\text{d}}{\bf{r}} = \rho({\bf{r}})\, {\text{d}}{\bf{r}}\). Since the current implementation allows only a constant density distribution, a random position can easily be constructed. The function repeatedly generates a uniform random position in the cylinder enveloping the geometry, and accepts the first position that happens to fall inside the nonzero-density region of the actual geometry.
Implements Geometry.
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inline |
This function returns the value of the discoverable double property innerOffsetZ: "the offset of the inner paraboloid vertices in the z direction".
This property represents a physical quantity of type "length".
The minimum value for this property is "[0".
The default value for this property is given by the conditional value expression "0".
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inline |
This function returns the value of the discoverable double property innerOpeningAngle: "the half opening angle of the inner paraboloid wall".
This property represents a physical quantity of type "posangle".
The minimum value for this property is "]0 deg".
The maximum value for this property is "90 deg[".
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inline |
This function returns the value of the discoverable double property innerRadialExtent: "the radial extent of the inner paraboloid wall".
This property represents a physical quantity of type "length".
The minimum value for this property is "]0".
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inline |
This function returns the value of the discoverable double property outerOffsetZ: "the offset of the outer paraboloid vertices in the z direction".
This property represents a physical quantity of type "length".
The minimum value for this property is "[0".
The default value for this property is given by the conditional value expression "0".
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inline |
This function returns the value of the discoverable double property outerOpeningAngle: "the half opening angle of the outer paraboloid wall".
This property represents a physical quantity of type "posangle".
The minimum value for this property is "]0 deg".
The maximum value for this property is "90 deg[".
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overrideprotectedvirtual |
This function calculates some frequently used values, including the normalization factor \(A\), which is set by the normalization condition that total mass equals one, resulting in
\[ A=\frac{1}{\pi(R_{out}^{2}z_{maxOut}-R_{in}^{2}z_{maxIn})} \]
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Reimplemented from Geometry.
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overridevirtual |
This function returns the radial surface density, i.e. the integration of the density along a line in the equatorial plane starting at the centre of the coordinate system,
\[\Sigma_R = \int_0^\infty \rho(R,0,0)\,{\text{d}}r. \]
For the paraboloid geometry this integral is simply zero.
Implements AxGeometry.
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overridevirtual |
This function returns the Z-axis surface density, i.e. the integration of the density along the entire Z-axis,
\[ \Sigma_Z = \int_{-\infty}^\infty \rho(0,0,z)\, {\text{d}}z. \]
In the case of paraboloid geometry with constant density this is simply
\[ \Sigma_Z = 2 A (z_{\text{in}}-z_{\text{out}}), \]
where \(z_{\text{in}}\) and \(z_{\text{out}}\) are, respectively, offsets of the inner and outer paraboloid vertices in the z direction.
Implements Geometry.