quadlineart Class Reference

#include <quadlineart.h>

Public Member Functions
double	approx (double xi, double eta, vector &nodval)
void	averc_matrix (long eid, matrix &lm)
void	averd_matrix (long eid, matrix &lm)
void	bf_matrix (matrix &n, double xi, double eta)
void	boundary_flux (vector &v, long lcid, long eid, long leid, long ri, long ci)
void	capacity_matrix (long eid, long ri, long ci, matrix &cm)
void	codnum (long *cn, long ri)
double	compute_error (long eid, vector *rderfull, int mattid, double &e2, double &u2, double &sizel)
void	conductivity_matrix (long lcid, long eid, long ri, long ci, matrix &km)
void	convection_vector (vector &v, long lcid, long eid, long leid, long cid)
void	edge_integral (long edg, vector &x, vector &y, long intord, vector &gp, vector &w, vector &t, vector &coef, matrix &km)
void	edgenodeval (long edg, vector &nodval, vector &list)
double	elem_area (long eid)
void	grad_matrix (matrix &gm, vector &x, vector &y, double xi, double eta, double &jac)
void	higher_to_lower_level (long eid, long counter, double buff)
void	internal_fluxes (long lcid, long eid, vector &ifl)
void	intpointflux (long eid)
void	intpointgrad (long eid)
void	intpointother (long eid)
void	intpointval (long eid, vector &nodval, vector &ipval)
void	intpointval (long eid)
void	intpointval_puc (long eid)
void	ipcoord (long eid, long ipp, long ri, long ci, vector &coord)
void	ipcoordblock (long eid, long ri, long ci, double **coord)
void	l_matrix (long lcid, long eid, long ri, long ci, matrix &lm)
void	l_t_matrix (long lcid, long eid, long ri, long ci, matrix &lm)
void	nod_eqother_ip (long eid)
void	nod_fluxes_ip (long eid)
void	nod_grads_ip (long eid)
void	nod_others_comp (long lcid, long eid, long ri, long ci)
	quadlineart (void)
void	quantity_source_vector (vector &sv, vector &nodval, long eid, long ri, long ci)
void	res_boundary_flux (vector &f, long lcid, long eid, long leid)
void	res_capacity_matrix (long eid, matrix &cm)
void	res_conductivity_matrix (long eid, long lcid, matrix &km)
void	res_convection_vector (vector &f, long lcid, long eid, long leid)
void	res_internal_fluxes (long eid, vector &elemif)
void	res_l_matrix (long eid, long lcid, matrix &lm)
void	res_l_t_matrix (long eid, long lcid, matrix &lm)
void	res_quantity_source_vector (vector &sv, vector &nodval, long lcid, long eid)
void	res_transmission_vector (vector &f, long lcid, long eid, long leid)
void	res_volume_rhs_vector (vector &f, long eid, long lcid)
double	total_integral (long eid, vector &nodval)
void	transf_coeff (long edg, vector &coeff, vector &list, long eid, long ri, long ci, long ipp, bocontypet *bc, int flag)
void	transf_flux (long edg, vector &coeff, vector &list, vector &trc, vector &trr, long eid, long ri, long ci, long ipp, bocontypet *bc)
void	transf_val (long edg, vector &nodval, vector &list, vector &trc, vector &trr, long eid, long ri, long ci, long ipp, bocontypet *bc)
void	transmission_matrix (long lcid, long eid, long ri, long ci, matrix &km)
void	transmission_vector (vector &v, long lcid, long eid, long leid, long cid)
void	transq_nodval (long eid, vector &nodval, nonmechquant nmq)
void	transq_nodval_comp (long eid, vector &nodval, long ncne, long nq, nonmechquant *qt)
void	volume_rhs_vector (long lcid, long eid, long ri, long ci, vector &vrhs)
	~quadlineart (void)
Public Attributes
long **	dofe
	numbers of DOFs for particular problems
long **	intordcm
	orders of integration of capacity matrices
long **	intordkm
	orders of integration of conductivity matrices
long	napfun
	number of approximated functions
long	ncomp
	problem dimension
long	ndofe
	total number of DOFs on the element
long	ned
	number of edges
long **	nip
	number of integration points
long	nne
	number of nodes on one element
long	nned
	number of nodes on one edge
long	ntm
	number of transported matter
long **	ordering
	unknown ordering

Detailed Description

class quadlineart defines plane quadrilateral element with bi-linear approximation functions for transport problems

Definition at line 12 of file quadlineart.h.

Constructor & Destructor Documentation

quadlineart ( void )

Definition at line 12 of file quadlineart.cpp.

References dofe, fourmediacoup, intordcm, intordkm, napfun, ncomp, ndofe, ned, nip, nne, nned, nomedium, probdesct::ntm, ntm, onemedium, ordering, print_err(), probdesct::savemode, threemediacoup, probdesct::tmatt, Tp, and twomediacoup.

~quadlineart ( void )

Definition at line 146 of file quadlineart.cpp.

References dofe, intordcm, intordkm, nip, ntm, and ordering.

Member Function Documentation

double approx	(	double	xi,
		double	eta,
		vector &	nodval
	)

function approximates function defined by nodal values

Parameters:

	xi,eta	- coordinates on element
	nodval	- vector of nodal values

JK, 8.5.2002

Definition at line 187 of file quadlineart.cpp.

References vector::a, bf_lin_4_2d(), f, nne, and scprd().

Referenced by capacity_matrix(), compute_error(), conductivity_matrix(), edge_integral(), internal_fluxes(), intpointother(), intpointval(), quadrilatc::intpointval(), intpointval_puc(), ipcoord(), ipcoordblock(), l_matrix(), l_t_matrix(), quadrilatc::lower_cap_coup_matrix(), quadrilatc::lower_cond_coup_matrix(), quantity_source_vector(), total_integral(), quadrilatc::upper_cap_coup_matrix(), quadrilatc::upper_cond_coup_matrix(), quadrilatc::upper_cond_coup_vector(), and volume_rhs_vector().

void averc_matrix	(	long	eid,
		matrix &	lm
	)

function assembles average C matrix

Parameters:

	eid	- element id
	lm	- resulting C matrix of one element

TKr, 05/04/2011

Definition at line 1255 of file quadlineart.cpp.

References intpointst::av, transmat::capcoeff(), transtop::elements, transmat::ip, elementt::ipp, ntm, probdesct::savemode, Tm, Tp, and Tt.

Referenced by avercmat().

void averd_matrix	(	long	eid,
		matrix &	lm
	)

function assembles average D matrix

Parameters:

	eid	- element id
	lm	- resulting D matrix of one element

TKr, 05/04/2010

Definition at line 1199 of file quadlineart.cpp.

References transtop::elements, elementt::ipp, mat_localize(), transmat::matcond(), ncomp, ntm, probdesct::savemode, Tm, Tp, and Tt.

Referenced by averdmat().

void bf_matrix	(	matrix &	n,
		double	xi,
		double	eta
	)

function assembles matrix of base functions

Parameters:

	n	- matrix of base functions
	xi,eta	- natural coordinates

JK, 25.9.2001

Definition at line 646 of file quadlineart.cpp.

References matrix::a, bf_lin_4_2d(), and fillm().

Referenced by capacity_matrix(), conductivity_matrix(), edge_integral(), quadrilatc::lower_cap_coup_matrix(), quadrilatc::lower_cond_coup_matrix(), quantity_source_vector(), quadrilatc::upper_cap_coup_matrix(), quadrilatc::upper_cond_coup_matrix(), and quadrilatc::upper_cond_coup_vector().

void boundary_flux	(	vector &	v,
		long	lcid,
		long	eid,
		long	leid,
		long	ri,
		long	ci
	)

function computes contributions to the boundary flux from transmission vector

{Gamma_3} N^T c_{tr} N dGamma * nodal_external_value

Parameters:

	tmv	- vector of boundary fluxes
	lcid	- load case id
	eid	- element id
	leid	- element id
	ri,ci	- row and column indices of the computed block in the resulting matrix

TKr, 28.2.2004

Definition at line 1871 of file quadlineart.cpp.

References addv(), edge_integral(), edgenodeval(), transtop::elements, loadcaset::elemload, fillm(), fillv(), gauss_points(), loadelt::give_bc(), transtop::give_elemnodes(), transtop::give_node_coord2d(), loadelt::give_nodval(), transcrsec::give_thickness(), loadelt::give_trc(), loadelt::give_trr(), intordkm, elementt::ipp, transbclc::lc, mxv(), ned, nne, nned, nodes, nodval(), probdesct::savemode, Tb, Tc, Tp, transf_flux(), and Tt.

Referenced by res_boundary_flux().

void capacity_matrix	(	long	eid,
		long	ri,
		long	ci,
		matrix &	cm
	)

function computes capacity matrix of 2D problems for one transported matter finite element with bilinear approximation functions

Parameters:

	eid	- element id
	ri,ci	- row and column indices of the computed block in the resulting matrix
	cm	- capacity matrix

JK, 4.10.2001

Definition at line 911 of file quadlineart.cpp.

References matrix::a, approx(), bf_matrix(), transmat::capcoeff(), dofe, transtop::elements, fillm(), gauss_points(), transcrsec::give_density(), transtop::give_elemnodes(), transtop::give_node_coord2d(), transcrsec::give_thickness(), intordcm, intordkm, elementt::ipp, jac_2d(), matrix::m, matrix::n, nne, nnj(), nodes, print_err(), probdesct::savemode, Tc, Tm, Tp, and Tt.

Referenced by res_capacity_matrix().

void codnum	(	long *	cn,
		long	ri
	)

function assembles element code numbers they are used for localization between all element unknowns and unknowns related to one matter

Parameters:

	cn	- code numbers
	ri	- number of matter (usually row index)

Definition at line 171 of file quadlineart.cpp.

References nne, and ordering.

Referenced by res_boundary_flux(), res_capacity_matrix(), res_conductivity_matrix(), res_convection_vector(), res_internal_fluxes(), res_l_matrix(), res_l_t_matrix(), quadrilatc::res_lower_cap_coup_matrix(), quadrilatc::res_lower_cond_coup_matrix(), res_quantity_source_vector(), res_transmission_vector(), quadrilatc::res_upper_cap_coup_matrix(), quadrilatc::res_upper_cond_coup_matrix(), quadrilatc::res_upper_cond_coup_vector(), and res_volume_rhs_vector().

double compute_error	(	long	eid,
		vector *	rderfull,
		int	mattid,
		double &	e2,
		double &	u2,
		double &	sizel
	)

Function 1. 1. computes "e2" - square of energy norm of error of solution on element e2 = integral{ (sig_star - sig_roof)T * D_inv * (sig_star - sig_roof) } sig_star = recovered stress, values in nodes are defined by "rsigfull" and over element are interpolated by base functions sig_roof = stress obtained by FEM D_inv = inverse stiffness matrix of material 2. computes "u2" - square of energy norm of strain on element u2 = integral{ epsT * D * eps } eps = strain obtained by FEM D = stiffness matrix of material 3. computes area of element and adds to "volume" (sum of areas of previous elements) 4. computes "sizel" (characteristic size of element)

Parameters:

	eid	- element id
	volume	- sum of areas of previous elements
	e2	- empty(returned) value;
	u2	- empty(returned) value;
	sizel	- empty(returned) value;
	rsigfull	- 1Darray of stress in nodes; dimmension is ncomp*gt->nn after this manner {(val[0]; ... ;val[gt->nn])[0] ; ... ; (val[0]; ... ;val[gt->nn])[ncomp]}

created 3.5.2002, Ladislav Svoboda, termit@cml.fsv.cvut.cz

Definition at line 2433 of file quadlineart.cpp.

References approx(), bf_lin_4_2d(), transtop::elements, gauss_points(), give_der_star(), transtop::give_elemnodes(), transtop::give_node_coord2d(), transcrsec::give_thickness(), transmat::givegrad(), elementt::ipp, jac_2d(), transmat::matcond(), ncomp, transtop::nn, nne, nodes, print_err(), probdesct::savemode, subv(), Tc, Tm, Tp, Tt, and vxmxv().

Referenced by adaptivityt::compute_error().

void conductivity_matrix	(	long	lcid,
		long	eid,
		long	ri,
		long	ci,
		matrix &	km
	)

function computes conductivity matrix of 2D problems for one transported matter finite element with bilinear approximation functions

Parameters:

	lcid	- number of load case
	eid	- element id
	ri,ci	- row and column indices of the computed block in the resulting matrix
	km	- conductivity matrix

JK, 25.9.2001

Definition at line 694 of file quadlineart.cpp.

References matrix::a, approx(), bdbj(), bdbjac(), bf_matrix(), dofe, transtop::elements, fillm(), gauss_points(), transtop::give_elemnodes(), transtop::give_node_coord2d(), transcrsec::give_thickness(), grad_matrix(), intordkm, elementt::ipp, transmat::matcond(), transmat::matcond2(), ncomp, nne, nodes, print_err(), reallocm(), probdesct::savemode, Tc, Tm, Tp, elementt::transi, transmission_matrix(), and Tt.

Referenced by res_conductivity_matrix().

void convection_vector	(	vector &	v,
		long	lcid,
		long	eid,
		long	leid,
		long	cid
	)

function computes nodal fluxes caused by prescribed fluxes (Neumann boundary condition)

Parameters:

	v	- array of nodal fluxes
	lcid	- load case id (corresponds to the row index)
	eid	- element id
	leid	- loaded element id
	cid	- component id (corresponds to the column index)

JK, 19.8.2004

Definition at line 1658 of file quadlineart.cpp.

References addv(), edge_integral(), edgenodeval(), transtop::elements, loadcaset::elemload, fillm(), fillv(), gauss_points(), loadelt::give_bc(), transtop::give_elemnodes(), transtop::give_node_coord2d(), loadelt::give_nodval(), transcrsec::give_thickness(), intordkm, elementt::ipp, transbclc::lc, mxv(), ned, nne, nned, nodes, nodval(), probdesct::savemode, Tb, Tc, Tp, and Tt.

Referenced by res_convection_vector().

void edge_integral	(	long	edg,
		vector &	x,
		vector &	y,
		long	intord,
		vector &	gp,
		vector &	w,
		vector &	t,
		vector &	coef,
		matrix &	km
	)

function integrates N^T c N over edges

Parameters:

	edg	- edge id (number of edge)
	x,y	- coordinates of element nodes
	intord	- order of numerical integration
	gp,w	- coordinates and weights of integration points
	t	- nodal thicknesses
	coef	- array of nodal values of coefficient
	km	- output matrix

JK

Definition at line 1942 of file quadlineart.cpp.

References matrix::a, approx(), bf_matrix(), jac1d_2d(), matrix::m, matrix::n, nne, and nnj().

Referenced by boundary_flux(), convection_vector(), transmission_matrix(), and transmission_vector().

void edgenodeval	(	long	edg,
		vector &	nodval,
		vector &	list
	)

function picks up nodal values on required edges

Parameters:

	edg	- number of required edge
	nodval	- array of nodal values
	list	- array of nodal values defined on all edges

JK, 19.8.2004

Definition at line 2163 of file quadlineart.cpp.

References ivector::a, fillv(), linquadrilat_edgnod(), and nned.

Referenced by boundary_flux(), and convection_vector().

double elem_area ( long eid )

function assembles area of one element

Parameters:

eid

- element id

TKr, 05/04/2011

Definition at line 1284 of file quadlineart.cpp.

References dofe, transtop::give_node_coord2d(), grad_matrix(), ncomp, nne, and Tt.

Referenced by avercmat(), and averdmat().

void grad_matrix	(	matrix &	gm,
		vector &	x,
		vector &	y,
		double	xi,
		double	eta,
		double &	jac
	)

function assembles gradient of matrix of base functions

Parameters:

	gm	- gradient matrix
	x,y	- array containing node coordinates
	xi,eta	- natural coordinates
	jac	- Jacobian

JK, 25.9.2001

Definition at line 662 of file quadlineart.cpp.

References vector::a, derivatives_2d(), dx_bf_lin_4_2d(), dy_bf_lin_4_2d(), fillm(), and nne.

Referenced by conductivity_matrix(), elem_area(), internal_fluxes(), intpointgrad(), quadrilatc::intpointgrad(), l_matrix(), l_t_matrix(), and volume_rhs_vector().

void higher_to_lower_level	(	long	eid,
		long *	counter,
		double *	buff
	)

function selects values and gradients from the global level

Parameters:

	eid	- element id
	counter	- actual position in the array buff
	buff	- array containing selected components

JK, 19.4.2011

Definition at line 2383 of file quadlineart.cpp.

References intpointst::av, transtop::elements, transmat::givegrad(), transmat::ip, elementt::ipp, ntm, Tm, and Tt.

Referenced by higher_to_lower_level_elem().

void internal_fluxes	(	long	lcid,
		long	eid,
		vector &	ifl
	)

function computes internal fluxes of 1D problems for one transported matter finite element with linear approximation functions

Parameters:

	lcid	- number of load case
	eid	- number of element
	ifl	- vector of internal fluxes

JK, 31.3.2002

Definition at line 1022 of file quadlineart.cpp.

References vector::a, addv(), approx(), cmulv(), transmat::computenlfluxes(), dofe, transtop::elements, gauss_points(), transtop::give_elemnodes(), transtop::give_node_coord2d(), transcrsec::give_thickness(), transmat::givefluxes(), grad_matrix(), intordkm, elementt::ipp, mtxv(), ncomp, nne, nodes, print_err(), reallocv(), probdesct::savemode, Tc, Tm, Tp, and Tt.

Referenced by res_internal_fluxes().

void intpointflux ( long eid )

function computes correct fluxes at integration points on element

Parameters:

eid

- element id

TKr, 01/02/2010

Definition at line 2186 of file quadlineart.cpp.

References transmat::computenlfluxes(), transtop::elements, probdesct::fluxcomp, intordcm, intordkm, elementt::ipp, probdesct::ntm, probdesct::savemode, Tm, Tp, and Tt.

Referenced by intpointfluxes(), and nod_fluxes_ip().

void intpointgrad ( long eid )

function computes gradients in integration points from nodal values

eid - element id

JK, 25.9.2001

Definition at line 488 of file quadlineart.cpp.

References vector::a, ivector::a, dofe, transtop::elements, elemvalues(), gauss_points(), transtop::give_code_numbers(), transtop::give_node_coord2d(), grad, grad_matrix(), intordcm, intordkm, elementt::ipp, mxv(), ncomp, ndofe, nne, probdesct::ntm, ordering, reallocv(), probdesct::savemode, transmat::storegrad(), Tm, Tp, and Tt.

Referenced by intpointgradients().

void intpointother ( long eid )

function interpolates nodal values of array other to integration points

Parameters:

eid

- element id

JK, 17.9.2005

Definition at line 565 of file quadlineart.cpp.

References vector::a, approx(), transtop::elements, gauss_points(), transtop::give_elemnodes(), intordcm, intordkm, transmat::ip, elementt::ipp, nodet::ncompother, nne, nodalotherval(), transtop::nodes, nodes, probdesct::ntm, intpointst::other, reallocv(), probdesct::savemode, Tm, Tp, and Tt.

Referenced by intpointothers().

void intpointval	(	long	eid,
		vector &	nodval,
		vector &	ipval
	)

function computes values in integration points from nodal values this function is used for arbitrary variable, not only for variables used as unknowns in the problem

Parameters:

	eid	- element id
	nodval	- nodal values
	ipval	- value at integration points

Return values:

Function

returns approximated values at integration points in the vector ipval.

12/06/2012 TKr according to JK

Definition at line 356 of file quadlineart.cpp.

References vector::a, approx(), transtop::elements, gauss_points(), intordcm, intordkm, elementt::ipp, probdesct::ntm, reallocv(), probdesct::savemode, Tp, and Tt.

void intpointval ( long eid )

function computes values in integration points from nodal values (function interpolates the nodal values to integration points)

eid - element id

JK, 25.9.2001

Definition at line 280 of file quadlineart.cpp.

References vector::a, ivector::a, approx(), intpointst::av, dofe, transtop::elements, elemvalues(), gauss_points(), transtop::give_code_numbers(), intordcm, intordkm, transmat::ip, elementt::ipp, ndofe, nne, probdesct::ntm, ordering, reallocv(), probdesct::savemode, Tm, Tp, and Tt.

Referenced by elem_intpointvalt(), and intpointvalues().

void intpointval_puc ( long eid )

function computes values in integration points from nodal values for PUC (function interpolates the nodal values to integration points)

eid - element id

TKr, 05/04/2010

Definition at line 417 of file quadlineart.cpp.

References vector::a, ivector::a, approx(), intpointst::av, dofe, transtop::elements, elemvalues_puc(), gauss_points(), transtop::give_code_numbers(), intordcm, intordkm, transmat::ip, elementt::ipp, ndofe, nne, probdesct::ntm, ordering, reallocv(), probdesct::savemode, Tm, Tp, and Tt.

Referenced by intpointvalues_puc().

void ipcoord	(	long	eid,
		long	ipp,
		long	ri,
		long	ci,
		vector &	coord
	)

function assembles coordinates of rquired integration point

Parameters:

	eid	- element id
	ipp	- integration point id
	ri	- row index
	ci	- column index
	ipcoord	- array containing coordinates of required integration point

JK, 8.5.2002 + TKr 14.11.2003

Definition at line 211 of file quadlineart.cpp.

References vector::a, approx(), transtop::elements, gauss_points(), transtop::give_node_coord2d(), intordkm, elementt::ipp, nne, probdesct::savemode, Tp, and Tt.

void ipcoordblock	(	long	eid,
		long	ri,
		long	ci,
		double **	coord
	)

function assembles coordinates of integration points in block [ri][ci]

Parameters:

	eid	- element id
	ri	- row index
	ci	- column index
	ipcoord	- array containing coordinates of integration points

JK, 8.5.2002 + TKr 14.11.2003

Definition at line 250 of file quadlineart.cpp.

References vector::a, approx(), gauss_points(), transtop::give_node_coord2d(), intordkm, nne, and Tt.

void l_matrix	(	long	lcid,
		long	eid,
		long	ri,
		long	ci,
		matrix &	lm
	)

function computes L matrix

L = {} D B { d}

Parameters:

	lcid	- load case id
	eid	- element id
	ri,ci	- row and column indices
	lm	- L matrix

TKr, 05/04/2011

Definition at line 776 of file quadlineart.cpp.

References approx(), cmulm(), dofe, transtop::elements, fillm(), gauss_points(), transtop::give_elemnodes(), transtop::give_node_coord2d(), transcrsec::give_thickness(), grad_matrix(), intordkm, elementt::ipp, transmat::matcond(), mxm(), ncomp, nne, nodes, print_err(), reallocm(), probdesct::savemode, Tc, Tm, Tp, and Tt.

Referenced by res_l_matrix().

void l_t_matrix	(	long	lcid,
		long	eid,
		long	ri,
		long	ci,
		matrix &	lm
	)

function computes L^T (L transposed) matrix

L^T = {} B^T D { d}

Parameters:

	lcid	- load case id
	eid	- element id
	ri,ci	- row and column indices
	lm	- L^T matrix

TKr, 05/04/2011

Definition at line 844 of file quadlineart.cpp.

References approx(), cmulm(), dofe, transtop::elements, fillm(), gauss_points(), transtop::give_elemnodes(), transtop::give_node_coord2d(), transcrsec::give_thickness(), grad_matrix(), intordkm, elementt::ipp, transmat::matcond(), mtxm(), ncomp, nne, nodes, print_err(), reallocm(), probdesct::savemode, Tc, Tm, Tp, and Tt.

Referenced by res_l_t_matrix().

void nod_eqother_ip ( long eid )

function computes other values in nodes of element

Parameters:

eid

- element id

Tomas Koudelka, 6.5.2014

Definition at line 2301 of file quadlineart.cpp.

References vector::a, transtop::elements, transtop::give_elemnodes(), transmat::giveeqother(), transmat::givencompeqother(), intordkm, elementt::ipp, nne, nod, transtop::nodes, nodip_planelq(), reallocv(), nodet::storeeqother(), Tm, and Tt.

Referenced by compute_nodeeqotherst().

void nod_fluxes_ip ( long eid )

function computes fluxes in nodes of element

Parameters:

eid

- element id

TKr, 01/02/2010

Definition at line 2264 of file quadlineart.cpp.

References transtop::elements, flux, transtop::give_elemnodes(), transmat::givefluxes(), intordkm, intpointflux(), elementt::ipp, ncomp, nne, nod, transtop::nodes, nodip_planelq(), probdesct::ntm, nodet::storeflux(), Tm, Tp, and Tt.

Referenced by compute_nodefluxes().

void nod_grads_ip ( long eid )

function computes gradients in nodes of element

Parameters:

eid

- element id

TKr, 01/02/2010

Definition at line 2229 of file quadlineart.cpp.

References transtop::elements, transtop::give_elemnodes(), transmat::givegrad(), grad, intordkm, elementt::ipp, ncomp, nne, nod, transtop::nodes, nodip_planelq(), probdesct::ntm, nodet::storegrad(), Tm, Tp, and Tt.

Referenced by compute_nodegrads().

void nod_others_comp	(	long	lcid,
		long	eid,
		long	ri,
		long	ci
	)

function computes other values directly in nodes of element

Parameters:

	lcid	- load case id
	eid	- element id
	ri	- row index
	ci	- column index

TKr, 03/02/2010

Definition at line 2339 of file quadlineart.cpp.

References vector::a, ivector::a, transtop::elements, elemvalues(), transtop::give_code_numbers(), transtop::give_elemnodes(), transmat::givecompother(), transmat::givencompother(), h(), elementt::ipp, ndofe, nne, nod, transtop::nodes, ntm, other, reallocv(), probdesct::savemode, nodet::storeother(), Tm, Tp, and Tt.

Referenced by compute_nodeotherst_comp().

void quantity_source_vector	(	vector &	sv,
		vector &	nodval,
		long	eid,
		long	ri,
		long	ci
	)

function computes source vector of one matter on one element

{Omega} N^T N d Omega . s

Parameters:

	sv	- source vector of one matter
	lcid	- load case id
	eid	- element id
	ri,ci	- row and column indices of the block (ri must be equal to ci)

JK, 4.10.2001

Definition at line 970 of file quadlineart.cpp.

References matrix::a, addv(), approx(), bf_matrix(), dofe, fillm(), gauss_points(), transtop::give_elemnodes(), transtop::give_node_coord2d(), transcrsec::give_thickness(), intordcm, jac_2d(), mxv(), nne, nnj(), nodes, print_err(), Tc, and Tt.

Referenced by res_quantity_source_vector().

void res_boundary_flux	(	vector &	f,
		long	lcid,
		long	eid,
		long	leid
	)

function assembles resulting element boundary flux vector

Parameters:

	f	- resulting boundary flux vector of one element
	lcid	- load case id
	eid	- element id
	leid	- element id

TKr, 28.2.2004

Definition at line 1531 of file quadlineart.cpp.

References vector::a, boundary_flux(), codnum(), dofe, transtop::elements, locglob(), ntm, reallocv(), elementt::transi, and Tt.

Referenced by elem_transmission_flux().

void res_capacity_matrix	(	long	eid,
		matrix &	cm
	)

function assembles resulting element capacity matrix

Parameters:

	eid	- element id
	cm	- resulting capacity matrix of one element

JK, 6.1.2002

Definition at line 1312 of file quadlineart.cpp.

References capacity_matrix(), codnum(), probdesct::diagcap, dofe, mat_localize(), ntm, reallocm(), and Tp.

Referenced by capacmat(), and res_internal_fluxes().

void res_conductivity_matrix	(	long	eid,
		long	lcid,
		matrix &	km
	)

function assembles resulting element conductivity matrix

Parameters:

	eid	- element id
	lcid	- load case id
	km	- resulting conductivity matrix of one element

JK, 6.1.2002

Definition at line 1087 of file quadlineart.cpp.

References codnum(), conductivity_matrix(), dofe, mat_localize(), ntm, and reallocm().

Referenced by conductmat().

void res_convection_vector	(	vector &	f,
		long	lcid,
		long	eid,
		long	leid
	)

function assembles resulting element convection vector

Parameters:

	f	- resulting convection vector of one element
	lcid	- load case id
	eid	- element id
	leid	- id of element with boundary condition

JK, 6.1.2002

Definition at line 1357 of file quadlineart.cpp.

References vector::a, cmulv(), codnum(), convection_vector(), dofe, transtop::elements, locglob(), reallocv(), elementt::transi, and Tt.

Referenced by elem_neumann_vector().

void res_internal_fluxes	(	long	eid,
		vector &	elemif
	)

function assembles resulting element internal fluxes vector

Parameters:

	eid	- element id
	elemif	- resulting internal fluxes vector of one element

JK, 6.1.2002

Definition at line 1449 of file quadlineart.cpp.

References vector::a, codnum(), dofe, gtopology::give_code_numbers(), Gtt, internal_fluxes(), locglob(), mxv(), ndofe, nodalderivatives(), ntm, reallocm(), reallocv(), res_capacity_matrix(), and subv().

Referenced by internal_fluxes().

void res_l_matrix	(	long	eid,
		long	lcid,
		matrix &	lm
	)

function assembles resulting element L matrix

L^T = {} B^T D { d}

Parameters:

	eid	- element id
	lcid	- load case id
	lm	- resulting L matrix of one element

TKr, 05/04/2010

Definition at line 1121 of file quadlineart.cpp.

References codnum(), dofe, l_matrix(), mat_localize(), ncomp, ntm, and reallocm().

Referenced by lmat().

void res_l_t_matrix	(	long	eid,
		long	lcid,
		matrix &	lm
	)

function assembles resulting element L^T (L transposed) matrix

L^T = {} B^T D { d}

Parameters:

	eid	- element id
	lcid	- load case id
	lm	- resulting L^T matrix of one element

TKr, 05/04/2010

Definition at line 1161 of file quadlineart.cpp.

References codnum(), dofe, l_t_matrix(), mat_localize(), ncomp, ntm, and reallocm().

Referenced by ltmat().

void res_quantity_source_vector	(	vector &	sv,
		vector &	nodval,
		long	lcid,
		long	eid
	)

function assembles resulting element source vector

Parameters:

	sv	- resulting source vector of one element
	nodval	- array of nodal values
	lcid	- load case id
	eid	- element id

JK, 6.1.2002

Definition at line 1428 of file quadlineart.cpp.

References vector::a, codnum(), dofe, locglob(), quantity_source_vector(), and reallocv().

Referenced by source_vector().

void res_transmission_vector	(	vector &	f,
		long	lcid,
		long	eid,
		long	leid
	)

function assembles resulting element transmission vector

Parameters:

	f	- resulting transmission vector of one element
	lcid	- load case id
	eid	- element id
	leid	- id of element with boundary condition

JK, 6.1.2002, 18. 4. 2014

Definition at line 1393 of file quadlineart.cpp.

References vector::a, codnum(), dofe, transtop::elements, locglob(), vector::n, ntm, nullv(), reallocv(), elementt::transi, transmission_vector(), and Tt.

Referenced by elem_newton_vector().

void res_volume_rhs_vector	(	vector &	f,
		long	eid,
		long	lcid
	)

function assembles resulting element volume right-hand side

Parameters:

	eid	- element id
	lcid	- load case id
	f	- resulting volume right-hand side vector of one element

TKr, 10/12/2013

Definition at line 1628 of file quadlineart.cpp.

References vector::a, codnum(), dofe, locglob(), ntm, reallocv(), and volume_rhs_vector().

Referenced by volume_rhs_vector().

double total_integral	(	long	eid,
		vector &	nodval
	)

function computes element quantity integral

Parameters:

	eid	- element id
	nodval	- vector of quantity nodal values

Return values:

f

- element quantity integral

TKr, 30.1.2004

Definition at line 1489 of file quadlineart.cpp.

References approx(), f, gauss_points(), transtop::give_elemnodes(), transtop::give_node_coord2d(), transcrsec::give_thickness(), jac_2d(), nne, nodes, Tc, and Tt.

Referenced by elem_total_integral().

void transf_coeff	(	long	edg,
		vector &	coeff,
		vector &	list,
		long	eid,
		long	ri,
		long	ci,
		long	ipp,
		bocontypet *	bc,
		int	flag
	)

function

Parameters:

	edg	- edge id
	coeff	- array of
	list	- array of nodal values prescribed on boundary
	eid	- element id
	ri,ci	- row and column indices
	ipp	- integration point id
	bc	- array describing type of boundary condition
	flag	- coefficient is computing for what 0=matrix,1=loading vector

Definition at line 2074 of file quadlineart.cpp.

References ivector::a, fillv(), transtop::give_elemnodes(), linquadrilat_edgnod(), nne, nned, nodes, Tm, transmat::transmission_transcoeff(), and Tt.

Referenced by transmission_matrix(), and transmission_vector().

void transf_flux	(	long	edg,
		vector &	coeff,
		vector &	list,
		vector &	trc,
		vector &	trr,
		long	eid,
		long	ri,
		long	ci,
		long	ipp,
		bocontypet *	bc
	)

function

Parameters:

	edg	- edge id
	coeff	- array of
	list	- array of nodal values prescribed on boundary
	trc	- array of transmission coefficients
	trr	- array of transmission/radiation coefficients
	eid	- element id
	ri,ci	- row and column indices
	ipp	- integration point id
	bc	- array describing type of boundary condition

Definition at line 2028 of file quadlineart.cpp.

References ivector::a, fillv(), transtop::give_elemnodes(), linquadrilat_edgnod(), nne, nned, nodes, Tm, transmat::transmission_flux(), and Tt.

Referenced by boundary_flux().

void transf_val	(	long	edg,
		vector &	nodval,
		vector &	list,
		vector &	trc,
		vector &	trr,
		long	eid,
		long	ri,
		long	ci,
		long	ipp,
		bocontypet *	bc
	)

function prepares nodal values of transported quantity, transmission coefficents and transmission/radiation coefficients

Parameters:

	edg	- number of required edge (edge id)
	nodval	- array of transformed nodal values
	list	- array of nodal values defined on all edges
	trc	- array of transmission coefficients
	trr	- array of transmission/radiation coefficients
	ri,ci	- row and column indices
	ipp	- integration point number
	bc	- array defining boundary conditions

JK, 19.8.2004

Definition at line 2119 of file quadlineart.cpp.

References ivector::a, fillv(), transtop::give_elemnodes(), linquadrilat_edgnod(), nne, nned, nodes, Tm, transmat::transmission_nodval(), and Tt.

Referenced by transmission_vector().

void transmission_matrix	(	long	lcid,
		long	eid,
		long	ri,
		long	ci,
		matrix &	km
	)

function computes transmission complement to the conductivity matrix for one matter

{Gamma_3} N^T c_{tr} N dGamma

Parameters:

	lcid	- number of load case
	eid	- element id
	ri,ci	- row and column indices
	km	- part of the conductivity matrix

JK, 19.8.2004

Definition at line 1731 of file quadlineart.cpp.

References vector::a, edge_integral(), loadelt::eid, transtop::elements, loadcaset::elemload, gauss_points(), loadelt::give_bc(), transtop::give_elemnodes(), transtop::give_node_coord2d(), transcrsec::give_thickness(), loadelt::give_trc(), intordkm, elementt::ipp, transbclc::lc, loadcaset::neb, ned, nne, nned, nodes, probdesct::savemode, Tb, Tc, Tp, transf_coeff(), and Tt.

Referenced by conductivity_matrix().

void transmission_vector	(	vector &	v,
		long	lcid,
		long	eid,
		long	leid,
		long	cid
	)

function computes nodal values on element caused by prescribed transmission (Newton boundary condition)

function computes T_{ext}

Parameters:

	v	- vector of nodal values
	lcid	- load case id (corresponds to the row index)
	eid	- element id
	leid	- loaded element id
	cid	- component id (corresponds to the column index)

JK, 18. 4. 2014

Definition at line 1797 of file quadlineart.cpp.

References addv(), edge_integral(), transtop::elements, loadcaset::elemload, fillm(), fillv(), gauss_points(), loadelt::give_bc(), transtop::give_elemnodes(), loadelt::give_external_nodval(), transtop::give_node_coord2d(), transcrsec::give_thickness(), loadelt::give_trc(), loadelt::give_trr(), intordkm, elementt::ipp, transbclc::lc, mxv(), ned, nne, nned, nodes, nodval(), probdesct::savemode, Tb, Tc, Tp, transf_coeff(), transf_val(), and Tt.

Referenced by res_transmission_vector().

void transq_nodval	(	long	eid,
		vector &	nodval,
		nonmechquant	nmq
	)

Function returns transport (non-mechanical) quantities at nodes of element. The values of selected quantity is copied from the closest integration points to element nodes.

Parameters:

	eid	- element id
	nodval	- vector of nodal values
	ntq	- type of non-mechanical quantity

Returns:: The function does not return anything.

Created by TKo, 3.2.2014

Definition at line 2496 of file quadlineart.cpp.

References transtop::elements, transmat::givetransq(), intordkm, elementt::ipp, nne, nodip_planelq(), Tm, and Tt.

Referenced by elem_transq_nodval().

void transq_nodval_comp	(	long	eid,
		vector &	nodval,
		long	ncne,
		long	nq,
		nonmechquant *	qt
	)

Function computes transport (non-mechanical) quantities at nodes of element.

Parameters:

	eid	- element id
	nodval	- vector of nodal values of all required quantities, i.e., nodal value of i-th quantity in j-th node is given by nodval[i*ncnv+j] where ncnv is the number of calculated nodes on eid-th element.
	ncne	- number of computed nodes on element (only first ncne of nodes is calculated)
	nq	- number of required transport quantities
	qt	- array of types of required non-mechanical, i.e. transport quantities