3D Elements

3D Elements

Tetrah1ht - tetrahedral 3D element

Represents isoparametric four-node tetrahedral element. Each node has 1 degree of freedom. The same numbering convection is adopted as in mechanics, see Fig. LTRSpace element. Definition and node numbering convention.. The element features are summarized in Table Table 56.

Table 56 Tetrah1ht element summary

Keyword

Tetrah1ht

Description

Isoparametric, four-node tetrahedral element with linear approximation for heat transfer problems

Specific parameters

[NIP (in)]

Parameters

NIP: allows to change the default number of integration point used.

Unknowns

Single dof (T_f - temperature) is required in each node.

Approximation

Linear approximation of temperature.

Integration

Integration using gauss integration formula in 1 (the default), or 4 integration points. The default number of integration point used can be overloaded using NIP parameter.

Loads

Body loads are supported. Boundary loads are supported and computed using numerical integration. The side and surface numbering is shown in Fig. LTRSpace element. Definition and node numbering convention..

Features

CS properties

Status

Tests/Examples

tm/tmpatch40.in, tm/tmpatch41.in, tm/tmpatch42.in

Brick1ht - hexahedral 3D element

Represents isoparametric eight-node brick/hexahedron finite element for heat transfer problems. Each node has 1 degree of freedom. The element features are summarized in Table 57.

Figure made with TikZ

Fig. 25 Brick1ht element. Node numbers are in black, side numbers are in blue, and surface numbers are in red.

Table 57 Brick1ht element summary

Keyword

Brick1ht

Description

Isoparametric, hexahedral 3D element with linear approximation for heat transfer problems

Specific parameters

[NIP (in)]

Parameters

NIP: allows to change the default number of integration point used.

Unknowns

Single dof (T_f - temperature) is required in each node.

Approximation

Linear approximation of temperature.

Integration

Integration using gauss integration formula in 8 (the default), or 27 integration points. The default number of integration point used can be overloaded using NIP parameter.

Loads

Body loads are supported. Boundary loads are supported and computed using numerical integration. The side and surface numbering is shown in fig. (Brick1ht element. Node numbers are in black, side numbers are in blue, and surface numbers are in red.)).

Features

CS properties

Status

Tests/Examples

tm/tmpatch46.in, tmcemhyd/cemhyd02.in, tm/tmpatch31.in, tm/tmpatch34.in, tm/tmpatch32.in, tm/tmpatch33.in, tm/tmpatch37.in, tm/tmpatch36.in, tm/tmpatch39.in, tm/tmpatch35.in (and 2 more)

Brick1hmt - hexahedral 3D element

Represents isoparametric eight-node quadrilateral finite element for heat and mass (one constituent) transfer problems. Two dofs (T_f - temperature and C_1 - concentration) are required in each node. Linear approximation of temperature and mass concentration. Other features are similar to Brick1 element, see section Brick1ht - hexahedral 3D element.