Detailed Description

This is the base class for elements that implement calculation of finite element quantities over the domain and sides of a geometric element.

The primary functions required of the elements depend on the nature of analysis:

Nonlinear Analysis
$r(X,p) = 0$
A nonliner analysis requires element residuals and Jacobians. Sensitivity analysis of the nonlinear problem requires the sensitivity of the residual vector with respect to the concerned parameter.
Eigenvalue Analysis
$A(X,p) = \lambda B(X,p)$
An eigenvalue analysis requires the coefficent matrices and . For cases where the eigenvalue problem is defined using small disturbances about a steady-state solution, the base solution (and its sensitivity for sensitivity problems) needs to be provided to the element.
Transient Analysis for first order systems
$f_m(\dot{X}, X, p) + f(X,p) = 0$

Definition at line 72 of file elem_base.h.

#include <elem_base.h>

Inheritance diagram for MAST::ElementBase:

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Collaboration diagram for MAST::ElementBase:

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Public Member Functions
	ElementBase (MAST::SystemInitialization &sys, const MAST::GeomElem &elem)
	The default constructor. More...

virtual	~ElementBase ()
	Default virtual destructor. More...

void	attach_active_solution_function (MAST::FunctionBase &f)
	Attaches the function that represents the system solution. More...

void	detach_active_solution_function ()
	Detaches the function object that may have been attached to the element. More...

const MAST::GeomElem &	elem () const

virtual void	set_acceleration (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as acceleration for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_complex_solution (const ComplexVectorX &vec, bool if_sens=false)
	This provides the complex solution (or its sensitivity if `if_sens` is true.) for frequecy-domain analysis. More...

virtual void	set_perturbed_acceleration (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as perturbed acceleration for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_perturbed_solution (const RealVectorX &vec, bool if_sens=false)
	This provides the perturbed solution (or its sensitivity if `if_sens` is true.) for linearized analysis. More...

virtual void	set_perturbed_velocity (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as perturbed velocity for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_solution (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as solution for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_velocity (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as velocity for element level calculations, or its sensitivity if `if_sens` is true. More...

const RealVectorX &	sol (bool if_sens=false) const

MAST::NonlinearSystem &	system ()

MAST::SystemInitialization &	system_initialization ()

Protected Attributes
RealVectorX	_accel
	local acceleration More...

RealVectorX	_accel_sens
	local acceleration More...

MAST::FunctionBase *	_active_sol_function
	pointer to the active solution mesh field function. More...

ComplexVectorX	_complex_sol
	local solution used for frequency domain analysis More...

ComplexVectorX	_complex_sol_sens
	local solution used for frequency domain analysis More...

RealVectorX	_delta_accel
	local acceleration More...

RealVectorX	_delta_accel_sens
	local acceleration More...

RealVectorX	_delta_sol
	local solution used for linearized analysis More...

RealVectorX	_delta_sol_sens
	local solution used for linearized analysis More...

RealVectorX	_delta_vel
	local velocity More...

RealVectorX	_delta_vel_sens
	local velocity More...

const MAST::GeomElem &	_elem
	geometric element for which the computations are performed More...

RealVectorX	_sol
	local solution More...

RealVectorX	_sol_sens
	local solution sensitivity More...

MAST::SystemInitialization &	_system
	SystemInitialization object associated with this element. More...

const Real &	_time
	time for which system is being assembled More...

RealVectorX	_vel
	local velocity More...

RealVectorX	_vel_sens
	local velocity More...

Constructor & Destructor Documentation

◆ ElementBase()

MAST::ElementBase::ElementBase	(	MAST::SystemInitialization &	sys,
		const MAST::GeomElem &	elem
	)

The default constructor.

Parameters

sys	SystemInitialization object which provides the system for which this element will perorm the calculations.
elem	libMesh::Elem object on which calculations will be performed.

Definition at line 27 of file elem_base.cpp.

◆ ~ElementBase()

MAST::ElementBase::~ElementBase ( )

virtual

Default virtual destructor.

Definition at line 37 of file elem_base.cpp.

Member Function Documentation

◆ attach_active_solution_function()

void MAST::ElementBase::attach_active_solution_function ( MAST::FunctionBase & f )

Attaches the function that represents the system solution.

Definition at line 146 of file elem_base.cpp.

◆ detach_active_solution_function()

void MAST::ElementBase::detach_active_solution_function ( )

Detaches the function object that may have been attached to the element.

Definition at line 156 of file elem_base.cpp.

◆ elem()

const MAST::GeomElem& MAST::ElementBase::elem ( ) const

inline

Returns: a constant reference to the element

Definition at line 109 of file elem_base.h.

◆ set_acceleration()

void MAST::ElementBase::set_acceleration	(	const RealVectorX &	vec,
		bool	if_sens = `false`
	)

virtual

stores vec as acceleration for element level calculations, or its sensitivity if if_sens is true.

Reimplemented in MAST::StructuralElementBase.

Definition at line 122 of file elem_base.cpp.

◆ set_complex_solution()

void MAST::ElementBase::set_complex_solution	(	const ComplexVectorX &	vec,
		bool	if_sens = `false`
	)

virtual

This provides the complex solution (or its sensitivity if if_sens is true.) for frequecy-domain analysis.

stores vec as solution for element level calculations.

Definition at line 84 of file elem_base.cpp.

◆ set_perturbed_acceleration()

void MAST::ElementBase::set_perturbed_acceleration	(	const RealVectorX &	vec,
		bool	if_sens = `false`
	)

virtual

stores vec as perturbed acceleration for element level calculations, or its sensitivity if if_sens is true.

Reimplemented in MAST::StructuralElementBase.

Definition at line 134 of file elem_base.cpp.

◆ set_perturbed_solution()

void MAST::ElementBase::set_perturbed_solution	(	const RealVectorX &	vec,
		bool	if_sens = `false`
	)

virtual

This provides the perturbed solution (or its sensitivity if if_sens is true.) for linearized analysis.

stores vec as solution for element level calculations.

Reimplemented in MAST::StructuralElementBase.

Definition at line 72 of file elem_base.cpp.

◆ set_perturbed_velocity()

void MAST::ElementBase::set_perturbed_velocity	(	const RealVectorX &	vec,
		bool	if_sens = `false`
	)

virtual

stores vec as perturbed velocity for element level calculations, or its sensitivity if if_sens is true.

Reimplemented in MAST::StructuralElementBase.

Definition at line 110 of file elem_base.cpp.

◆ set_solution()

void MAST::ElementBase::set_solution	(	const RealVectorX &	vec,
		bool	if_sens = `false`
	)

virtual

stores vec as solution for element level calculations, or its sensitivity if if_sens is true.

Reimplemented in MAST::StructuralElementBase.

Definition at line 60 of file elem_base.cpp.

◆ set_velocity()

void MAST::ElementBase::set_velocity	(	const RealVectorX &	vec,
		bool	if_sens = `false`
	)

virtual

stores vec as velocity for element level calculations, or its sensitivity if if_sens is true.

Reimplemented in MAST::StructuralElementBase.

Definition at line 98 of file elem_base.cpp.

◆ sol()

const RealVectorX & MAST::ElementBase::sol ( bool if_sens = false ) const

Returns: a const reference to the solution vector, or its sensitivity if if_sens is true.

Definition at line 51 of file elem_base.cpp.

◆ system()

MAST::NonlinearSystem & MAST::ElementBase::system ( )

Returns: a reference to the libMesh::System object

Definition at line 43 of file elem_base.cpp.

◆ system_initialization()

MAST::SystemInitialization& MAST::ElementBase::system_initialization ( )

inline

Returns: a reference to the libMesh::System object

Definition at line 95 of file elem_base.h.

Member Data Documentation

◆ _accel

RealVectorX MAST::ElementBase::_accel

protected

local acceleration

Definition at line 284 of file elem_base.h.

◆ _accel_sens

RealVectorX MAST::ElementBase::_accel_sens

protected

local acceleration

Definition at line 290 of file elem_base.h.

◆ _active_sol_function

MAST::FunctionBase* MAST::ElementBase::_active_sol_function

protected

pointer to the active solution mesh field function.

If this has been set, then some of the element properties are dependent on the element solution, and the element should perform the necessary operations in calculation of the Jacobian

Definition at line 213 of file elem_base.h.

◆ _complex_sol

ComplexVectorX MAST::ElementBase::_complex_sol

protected

local solution used for frequency domain analysis

Definition at line 237 of file elem_base.h.

◆ _complex_sol_sens

ComplexVectorX MAST::ElementBase::_complex_sol_sens

protected

local solution used for frequency domain analysis

Definition at line 243 of file elem_base.h.

◆ _delta_accel

RealVectorX MAST::ElementBase::_delta_accel

protected

local acceleration

Definition at line 296 of file elem_base.h.

◆ _delta_accel_sens

RealVectorX MAST::ElementBase::_delta_accel_sens

protected

local acceleration

Definition at line 302 of file elem_base.h.

◆ _delta_sol

RealVectorX MAST::ElementBase::_delta_sol

protected

local solution used for linearized analysis

Definition at line 249 of file elem_base.h.

◆ _delta_sol_sens

RealVectorX MAST::ElementBase::_delta_sol_sens

protected

local solution used for linearized analysis

Definition at line 255 of file elem_base.h.

◆ _delta_vel

RealVectorX MAST::ElementBase::_delta_vel

protected

local velocity

Definition at line 272 of file elem_base.h.

◆ _delta_vel_sens

RealVectorX MAST::ElementBase::_delta_vel_sens

protected

local velocity

Definition at line 278 of file elem_base.h.

◆ _elem

const MAST::GeomElem& MAST::ElementBase::_elem

protected

geometric element for which the computations are performed

Definition at line 205 of file elem_base.h.

◆ _sol

RealVectorX MAST::ElementBase::_sol

protected

local solution

Definition at line 225 of file elem_base.h.

◆ _sol_sens

RealVectorX MAST::ElementBase::_sol_sens

protected

local solution sensitivity

Definition at line 231 of file elem_base.h.

◆ _system

MAST::SystemInitialization& MAST::ElementBase::_system

protected

SystemInitialization object associated with this element.

Definition at line 200 of file elem_base.h.

◆ _time

const Real& MAST::ElementBase::_time

protected

time for which system is being assembled

Definition at line 219 of file elem_base.h.

◆ _vel

RealVectorX MAST::ElementBase::_vel

protected

local velocity

Definition at line 260 of file elem_base.h.

◆ _vel_sens

RealVectorX MAST::ElementBase::_vel_sens

protected

local velocity

Definition at line 266 of file elem_base.h.

The documentation for this class was generated from the following files:

/home/travis/build/MASTmultiphysics/mast-multiphysics/src/base/elem_base.h
/home/travis/build/MASTmultiphysics/mast-multiphysics/src/base/elem_base.cpp

Detailed Description

Public Member Functions

Protected Attributes

Constructor & Destructor Documentation

◆ ElementBase()

◆ ~ElementBase()

Member Function Documentation

◆ attach_active_solution_function()

◆ detach_active_solution_function()

◆ elem()

◆ set_acceleration()

◆ set_complex_solution()

◆ set_perturbed_acceleration()

◆ set_perturbed_solution()

◆ set_perturbed_velocity()

◆ set_solution()

◆ set_velocity()

◆ sol()

◆ system()

◆ system_initialization()

Member Data Documentation

◆ _accel

◆ _accel_sens

◆ _active_sol_function

◆ _complex_sol

◆ _complex_sol_sens

◆ _delta_accel

◆ _delta_accel_sens

◆ _delta_sol

◆ _delta_sol_sens

◆ _delta_vel

◆ _delta_vel_sens

◆ _elem

◆ _sol

◆ _sol_sens

◆ _system

◆ _time

◆ _vel

◆ _vel_sens