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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 <HyperboloidShellGeometry.hpp>
Public Member Functions | |
| double | density (double R, double z) const override |
| Position | generatePosition () const override |
| double | innerOpeningAngle () const |
| double | innerRealAxis () const |
| double | outerOpeningAngle () const |
| double | outerRadialExtent () const |
| double | outerRealAxis () 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 | |
| HyperboloidShellGeometry () | |
| 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 HyperboloidShellGeometry class is a subclass of the AxGeometry class and describes the geometry defined by two hyperboloid surfaces. It may be used to represent dusty outflows, extending vertically and then flaring towards the outside, asymptotically approaching cone surface.
The current implementation allows only a constant density distribution bounded by two hyperboloid surfaces of the form
\[ z=\frac{c}{a}\sqrt{\rho^2-a^2} \]
and two horizontal planes paralel to the xy plane, \(\pm z_{\text{max}}\). There are five free parameters describing this dust geometry: the radial extent of the outer wall \(D_\text{in}\), the half opening angles of the outer and inner walls ( \(\Delta_\text{out}, \Delta_\text{in}\)), the real axes of the outer and inner wall ( \(a_\text{out}, a_\text{in}\)). The radial extent and half opening angles correspond to the lenght of the side and half opening angle of the cone to which the hyperboloids asymptotically approach to. The real axes are the radii of the hyperboloids bases, i.e. the radii of the cross sections of the hyperboloids with the xy plane. This geometry contains two more parameters, the imaginary radius \(c\) and the radius of the hyperboloid top surface, but these values are determined by the other input parameters.
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 HyperboloidShellGeometry: "a hyperboloid 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 hyperboloid shell, and zero for positions outside the hyperboloid 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 innerOpeningAngle: "the half opening angle of the hyperboloid inner 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 innerRealAxis: "the real axis of the hyperboloid inner 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 outerOpeningAngle: "the half opening angle of the hyperboloid outer 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 outerRadialExtent: "the radial extent of the hyperboloid outer 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 outerRealAxis: "the real axis of the hyperboloid outer wall".
This property represents a physical quantity of type "length".
The minimum value for this property is "]0".
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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
\[ A=\frac{3}{2\pi}\frac{1}{z_{\text{max}} (2a_{\text{out}}^{2}+b_{\text{out}}^{2}-2a_{\text{in}}^{2}-b_{\text{in}}^{2})}, \]
where \(b\) is the radius of the hyperboloid top surface (i.e. cross section with \(z_{\text{max}} \) plane), determined by the radial extent and the half opening angle.
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,
\[\Sigma_R = \int_0^\infty \rho(R,0,0)\,{\text{d}}r. \]
In the case of hyperboloid shell geometry with constant density this is simply
\[ \Sigma_R = A(a_{\text{max}}-a_{\text{min}}). \]
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,
\[ \Sigma_Z = \int_{-\infty}^\infty \rho(0,0,z)\, {\text{d}}z. \]
For the hyperboloid shell geometry this integral is simply zero.
Implements Geometry.