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Reference documentation for deal.II version 9.6.0
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#include <deal.II/base/flow_function.h>
Public Types | |
using | time_type |
Public Member Functions | |
StokesLSingularity () | |
Constructor setting up some data. | |
virtual void | vector_values (const std::vector< Point< 2 > > &points, std::vector< std::vector< double > > &values) const override |
virtual void | vector_gradients (const std::vector< Point< 2 > > &points, std::vector< std::vector< Tensor< 1, 2 > > > &gradients) const override |
virtual void | vector_laplacians (const std::vector< Point< 2 > > &points, std::vector< std::vector< double > > &values) const override |
void | pressure_adjustment (double p) |
virtual void | vector_values (const std::vector< Point< dim > > &points, std::vector< std::vector< double > > &values) const override=0 |
virtual void | vector_values (const std::vector< Point< dim > > &points, std::vector< std::vector< RangeNumberType > > &values) const |
virtual void | vector_gradients (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim > > > &gradients) const override=0 |
virtual void | vector_gradients (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType > > > &gradients) const |
virtual void | vector_laplacians (const std::vector< Point< dim > > &points, std::vector< std::vector< double > > &values) const=0 |
virtual void | vector_value (const Point< dim > &points, Vector< double > &value) const override |
virtual void | vector_value (const Point< dim > &p, Vector< RangeNumberType > &values) const |
virtual double | value (const Point< dim > &points, const unsigned int component) const override |
virtual void | vector_value_list (const std::vector< Point< dim > > &points, std::vector< Vector< double > > &values) const override |
virtual void | vector_value_list (const std::vector< Point< dim > > &points, std::vector< Vector< RangeNumberType > > &values) const |
virtual void | vector_gradient_list (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim > > > &gradients) const override |
virtual void | vector_gradient_list (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType > > > &gradients) const |
virtual void | vector_laplacian_list (const std::vector< Point< dim > > &points, std::vector< Vector< double > > &values) const override |
virtual void | vector_laplacian_list (const std::vector< Point< dim > > &points, std::vector< Vector< RangeNumberType > > &values) const |
virtual std::size_t | memory_consumption () const override |
virtual void | value_list (const std::vector< Point< dim > > &points, std::vector< RangeNumberType > &values, const unsigned int component=0) const |
virtual Tensor< 1, dim, RangeNumberType > | gradient (const Point< dim > &p, const unsigned int component=0) const |
virtual void | vector_gradient (const Point< dim > &p, std::vector< Tensor< 1, dim, RangeNumberType > > &gradients) const |
virtual void | gradient_list (const std::vector< Point< dim > > &points, std::vector< Tensor< 1, dim, RangeNumberType > > &gradients, const unsigned int component=0) const |
virtual RangeNumberType | laplacian (const Point< dim > &p, const unsigned int component=0) const |
virtual void | vector_laplacian (const Point< dim > &p, Vector< RangeNumberType > &values) const |
virtual void | laplacian_list (const std::vector< Point< dim > > &points, std::vector< RangeNumberType > &values, const unsigned int component=0) const |
virtual SymmetricTensor< 2, dim, RangeNumberType > | hessian (const Point< dim > &p, const unsigned int component=0) const |
virtual void | vector_hessian (const Point< dim > &p, std::vector< SymmetricTensor< 2, dim, RangeNumberType > > &values) const |
virtual void | hessian_list (const std::vector< Point< dim > > &points, std::vector< SymmetricTensor< 2, dim, RangeNumberType > > &values, const unsigned int component=0) const |
virtual void | vector_hessian_list (const std::vector< Point< dim > > &points, std::vector< std::vector< SymmetricTensor< 2, dim, RangeNumberType > > > &values) const |
numbers::NumberTraits< double >::real_type | get_time () const |
virtual void | set_time (const numbers::NumberTraits< double >::real_type new_time) |
virtual void | advance_time (const numbers::NumberTraits< double >::real_type delta_t) |
template<class Archive > | |
void | serialize (Archive &ar, const unsigned int version) |
Subscriptor functionality | |
Classes derived from Subscriptor provide a facility to subscribe to this object. This is mostly used by the SmartPointer class. | |
void | subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const |
void | unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const |
unsigned int | n_subscriptions () const |
template<typename StreamType > | |
void | list_subscribers (StreamType &stream) const |
void | list_subscribers () const |
Static Public Member Functions | |
static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
Public Attributes | |
const unsigned int | n_components |
Static Public Attributes | |
static constexpr unsigned int | dimension = dim |
Protected Attributes | |
double | mean_pressure |
Private Types | |
using | map_value_type = decltype(counter_map)::value_type |
using | map_iterator = decltype(counter_map)::iterator |
Private Member Functions | |
double | Psi (double phi) const |
The auxiliary function Psi. | |
double | Psi_1 (double phi) const |
The derivative of Psi() | |
double | Psi_2 (double phi) const |
The 2nd derivative of Psi() | |
double | Psi_3 (double phi) const |
The 3rd derivative of Psi() | |
double | Psi_4 (double phi) const |
The 4th derivative of Psi() | |
void | check_no_subscribers () const noexcept |
Private Attributes | |
const double | omega |
The angle of the reentrant corner, set to 3*pi/2. | |
const double | coslo |
Cosine of lambda times omega. | |
const double | lp |
Auxiliary variable 1+lambda. | |
const double | lm |
Auxiliary variable 1-lambda. | |
Threads::Mutex | mutex |
std::vector< std::vector< double > > | aux_values |
std::vector< std::vector< Tensor< 1, dim > > > | aux_gradients |
numbers::NumberTraits< double >::real_type | time |
std::atomic< unsigned int > | counter |
std::map< std::string, unsigned int > | counter_map |
std::vector< std::atomic< bool > * > | validity_pointers |
const std::type_info * | object_info |
Static Private Attributes | |
static const double | lambda = 0.54448373678246 |
A singular solution to Stokes' equations on a 2d L-shaped domain.
This function satisfies \(-\triangle \mathbf{u} + \nabla p = 0\) and represents a typical singular solution around a reentrant corner of an L-shaped domain that can be created using GridGenerator::hyper_L(). The velocity vanishes on the two faces of the re-entrant corner and \(\nabla\mathbf{u}\) and \(p\) are singular at the origin while they are smooth in the rest of the domain because they can be written as a product of a smooth function and the term \(r^{\lambda-1}\) where \(r\) is the radius and \(\lambda \approx 0.54448\) is a fixed parameter.
Taken from Houston, Schötzau, Wihler, proceeding ENUMATH 2003.
Definition at line 245 of file flow_function.h.
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inherited |
The scalar-valued real type used for representing time.
Definition at line 168 of file function.h.
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privateinherited |
The data type used in counter_map.
Definition at line 229 of file subscriptor.h.
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privateinherited |
The iterator type used in counter_map.
Definition at line 234 of file subscriptor.h.
Functions::StokesLSingularity::StokesLSingularity | ( | ) |
Constructor setting up some data.
Definition at line 492 of file flow_function.cc.
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overridevirtual |
Definition at line 545 of file flow_function.cc.
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overridevirtual |
Definition at line 585 of file flow_function.cc.
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overridevirtual |
Definition at line 645 of file flow_function.cc.
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inlineprivate |
The auxiliary function Psi.
Definition at line 501 of file flow_function.cc.
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inlineprivate |
The derivative of Psi()
Definition at line 509 of file flow_function.cc.
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inlineprivate |
The 2nd derivative of Psi()
Definition at line 517 of file flow_function.cc.
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inlineprivate |
The 3rd derivative of Psi()
Definition at line 525 of file flow_function.cc.
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inlineprivate |
The 4th derivative of Psi()
Definition at line 535 of file flow_function.cc.
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inherited |
Store an adjustment for the pressure function, such that its mean value is p
.
Definition at line 65 of file flow_function.cc.
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overridepure virtualinherited |
Values in a structure more suitable for vector valued functions. The outer vector is indexed by solution component, the inner by quadrature point.
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virtualinherited |
For each component of the function, fill a vector of values, one for each point.
The default implementation of this function in Function calls value_list() for each component. In order to improve performance, this can be reimplemented in derived classes to speed up performance.
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overridepure virtualinherited |
Gradients in a structure more suitable for vector valued functions. The outer vector is indexed by solution component, the inner by quadrature point.
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virtualinherited |
For each component of the function, fill a vector of gradient values, one for each point.
The default implementation of this function in Function calls value_list() for each component. In order to improve performance, this can be reimplemented in derived classes to speed up performance.
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pure virtualinherited |
Force terms in a structure more suitable for vector valued functions. The outer vector is indexed by solution component, the inner by quadrature point.
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overridevirtualinherited |
Definition at line 97 of file flow_function.cc.
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virtualinherited |
Return all components of a vector-valued function at a given point.
values
shall have the right size beforehand, i.e. n_components.
The default implementation will call value() for each component.
Reimplemented in Functions::ConstantFunction< dim, double >.
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overridevirtualinherited |
Return the value of the function at the given point. Unless there is only one component (i.e. the function is scalar), you should state the component you want to have evaluated; it defaults to zero, i.e. the first component.
Reimplemented from Function< dim, RangeNumberType >.
Definition at line 100 of file flow_function.cc.
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overridevirtualinherited |
Definition at line 103 of file flow_function.cc.
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virtualinherited |
Set values
to the point values of the function at the points
. It is assumed that values
already has the right size, i.e. the same size as the points
array, and that all elements be vectors with the same number of components as this function has.
By default, this function repeatedly calls vector_value() for each point separately, to fill the output array.
Reimplemented in Functions::ConstantFunction< dim, double >.
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overridevirtualinherited |
Definition at line 106 of file flow_function.cc.
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virtualinherited |
Set gradients
to the gradients of the function at the points
, for all components. It is assumed that gradients
already has the right size, i.e. the same size as the points
array.
The outer loop over gradients
is over the points in the list, the inner loop over the different components of the function.
Reimplemented in Functions::ConstantFunction< dim, double >.
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overridevirtualinherited |
The force term in the momentum equation.
Definition at line 113 of file flow_function.cc.
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virtualinherited |
Compute the Laplacians of all components at a set of points.
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overridevirtualinherited |
Return an estimate for the memory consumption, in bytes, of this object.
Reimplemented from Function< dim, RangeNumberType >.
Definition at line 120 of file flow_function.cc.
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virtualinherited |
Set values
to the point values of the specified component of the function at the points
. It is assumed that values
already has the right size, i.e. the same size as the points
array.
By default, this function repeatedly calls value() for each point separately, to fill the output array.
Reimplemented in Functions::ConstantFunction< dim, double >.
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virtualinherited |
Return the gradient of the specified component of the function at the given point.
Reimplemented in AutoDerivativeFunction< dim >, FunctionFromFunctionObjects< dim, RangeNumberType >, Functions::Bessel1< dim >, Functions::ConstantFunction< dim, RangeNumberType >, Functions::ConstantFunction< dim, double >, Functions::CoordinateRestriction< dim >, Functions::CosineFunction< dim >, Functions::CosineGradFunction< dim >, Functions::CSpline< dim >, Functions::CutOffFunctionC1< dim >, Functions::CutOffFunctionCinfty< dim >, Functions::CutOffFunctionTensorProduct< dim >, Functions::ExpFunction< dim >, Functions::FEFieldFunction< dim, VectorType, spacedim >, Functions::FourierCosineFunction< dim >, Functions::FourierCosineSum< dim >, Functions::FourierSineFunction< dim >, Functions::FourierSineSum< dim >, Functions::IdentityFunction< dim, RangeNumberType >, Functions::InterpolatedTensorProductGridData< dim >, Functions::InterpolatedUniformGridData< dim >, Functions::JumpFunction< dim >, Functions::Monomial< dim, Number >, Functions::PillowFunction< dim >, Functions::Polynomial< dim >, Functions::Q1WedgeFunction< dim >, Functions::SignedDistance::Ellipsoid< dim >, Functions::SignedDistance::Plane< dim >, Functions::SignedDistance::Sphere< dim >, Functions::SlitSingularityFunction< dim >, Functions::Spherical< dim >, Functions::SquareFunction< dim >, Functions::SymbolicFunction< dim, RangeNumberType >, NonMatching::internal::DiscreteQuadratureGeneratorImplementation::RefSpaceFEFieldFunction< dim, VectorType >, and VectorFunctionFromTensorFunction< dim, RangeNumberType >.
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virtualinherited |
Return the gradient of all components of the function at the given point.
Reimplemented in Functions::ConstantFunction< dim, double >.
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virtualinherited |
Set gradients
to the gradients of the specified component of the function at the points
. It is assumed that gradients
already has the right size, i.e. the same size as the points
array.
Reimplemented in Functions::ConstantFunction< dim, double >.
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virtualinherited |
Compute the Laplacian of a given component at point p
.
Reimplemented in Functions::ConstantFunction< dim, RangeNumberType >, Functions::ConstantFunction< dim, double >, Functions::CosineFunction< dim >, Functions::CosineGradFunction< dim >, Functions::CSpline< dim >, Functions::ExpFunction< dim >, Functions::FEFieldFunction< dim, VectorType, spacedim >, Functions::FourierCosineFunction< dim >, Functions::FourierCosineSum< dim >, Functions::FourierSineFunction< dim >, Functions::FourierSineSum< dim >, Functions::IdentityFunction< dim, RangeNumberType >, Functions::JumpFunction< dim >, Functions::PillowFunction< dim >, Functions::Q1WedgeFunction< dim >, Functions::SlitSingularityFunction< dim >, Functions::SquareFunction< dim >, and Functions::SymbolicFunction< dim, RangeNumberType >.
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virtualinherited |
Compute the Laplacian of all components at point p
and store them in values
.
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virtualinherited |
Compute the Laplacian of one component at a set of points.
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virtualinherited |
Compute the Hessian of a given component at point p
, that is the gradient of the gradient of the function.
Reimplemented in Functions::ConstantFunction< dim, RangeNumberType >, Functions::ConstantFunction< dim, double >, Functions::CoordinateRestriction< dim >, Functions::CosineFunction< dim >, Functions::CSpline< dim >, Functions::IdentityFunction< dim, RangeNumberType >, Functions::SignedDistance::Plane< dim >, Functions::SignedDistance::Sphere< dim >, Functions::Spherical< dim >, Functions::SymbolicFunction< dim, RangeNumberType >, and NonMatching::internal::DiscreteQuadratureGeneratorImplementation::RefSpaceFEFieldFunction< dim, VectorType >.
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virtualinherited |
Compute the Hessian of all components at point p
and store them in values
.
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virtualinherited |
Compute the Hessian of one component at a set of points.
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virtualinherited |
Compute the Hessians of all components at a set of points.
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inherited |
Return the value of the time variable.
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virtualinherited |
Set the time to new_time
, overwriting the old value.
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virtualinherited |
Advance the time by the given time step delta_t
.
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inherited |
Subscribes a user of the object by storing the pointer validity
. The subscriber may be identified by text supplied as identifier
.
Definition at line 135 of file subscriptor.cc.
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inherited |
Unsubscribes a user from the object.
identifier
and the validity
pointer must be the same as the one supplied to subscribe(). Definition at line 155 of file subscriptor.cc.
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inlineinherited |
Return the present number of subscriptions to this object. This allows to use this class for reference counted lifetime determination where the last one to unsubscribe also deletes the object.
Definition at line 300 of file subscriptor.h.
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inlineinherited |
List the subscribers to the input stream
.
Definition at line 317 of file subscriptor.h.
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inherited |
List the subscribers to deallog
.
Definition at line 203 of file subscriptor.cc.
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inlineinherited |
Read or write the data of this object to or from a stream for the purpose of serialization using the BOOST serialization library.
This function does not actually serialize any of the member variables of this class. The reason is that what this class stores is only who subscribes to this object, but who does so at the time of storing the contents of this object does not necessarily have anything to do with who subscribes to the object when it is restored. Consequently, we do not want to overwrite the subscribers at the time of restoring, and then there is no reason to write the subscribers out in the first place.
Definition at line 309 of file subscriptor.h.
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privatenoexceptinherited |
Check that there are no objects subscribing to this object. If this check passes then it is safe to destroy the current object. It this check fails then this function will either abort or print an error message to deallog (by using the AssertNothrow mechanism), but will not throw an exception.
Definition at line 52 of file subscriptor.cc.
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private |
The angle of the reentrant corner, set to 3*pi/2.
Definition at line 279 of file flow_function.h.
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staticprivate |
The exponent of the radius, computed as the solution to \(\sin(\lambda\omega)+\lambda \sin(\omega)=0\)
Definition at line 282 of file flow_function.h.
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private |
Cosine of lambda times omega.
Definition at line 284 of file flow_function.h.
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private |
Auxiliary variable 1+lambda.
Definition at line 286 of file flow_function.h.
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private |
Auxiliary variable 1-lambda.
Definition at line 288 of file flow_function.h.
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protectedinherited |
Mean value of the pressure to be added by derived classes.
Definition at line 126 of file flow_function.h.
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mutableprivateinherited |
A mutex that guards the following scratch arrays.
Definition at line 132 of file flow_function.h.
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mutableprivateinherited |
Auxiliary values for the usual Function interface.
Definition at line 137 of file flow_function.h.
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mutableprivateinherited |
Auxiliary values for the usual Function interface.
Definition at line 142 of file flow_function.h.
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staticconstexprinherited |
Export the value of the template parameter as a static member constant. Sometimes useful for some expression template programming.
Definition at line 158 of file function.h.
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inherited |
Number of vector components.
Definition at line 163 of file function.h.
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privateinherited |
Store the present time.
Definition at line 112 of file function_time.h.
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mutableprivateinherited |
Store the number of objects which subscribed to this object. Initially, this number is zero, and upon destruction it shall be zero again (i.e. all objects which subscribed should have unsubscribed again).
The creator (and owner) of an object is counted in the map below if HE manages to supply identification.
We use the mutable
keyword in order to allow subscription to constant objects also.
This counter may be read from and written to concurrently in multithreaded code: hence we use the std::atomic
class template.
Definition at line 218 of file subscriptor.h.
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mutableprivateinherited |
In this map, we count subscriptions for each different identification string supplied to subscribe().
Definition at line 224 of file subscriptor.h.
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mutableprivateinherited |
In this vector, we store pointers to the validity bool in the SmartPointer objects that subscribe to this class.
Definition at line 240 of file subscriptor.h.
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mutableprivateinherited |
Pointer to the typeinfo object of this object, from which we can later deduce the class name. Since this information on the derived class is neither available in the destructor, nor in the constructor, we obtain it in between and store it here.
Definition at line 248 of file subscriptor.h.