Verification of the LIRA-FEM software

Verification of the LIRA-FEM software / Problems of stationary and non-stationary heat conduction

Stationary heat propagation in an L-shaped plate under boundary conditions of the first kind (given temperature)

Analytical solution: G.T. Symm-, National Physical Laboratory Division of Numerical Analysis and Computing, Treatment of singularities in solution of Laplace's equation by an integral equation...
To build the scheme we used FE1509 - quadrangular heat conduction FEs Number of nodes:42. Number of elements:24.

Stationary heat propagation in the plate (ring section) under boundary conditions of the first kind (given temperature)

Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité,...
To build the circuit we used FE1509 - quadrangular heat conduction FE Number of nodes:870 Number of elements:725 *For: l>>R_e.

Stationary heat propagation in a plate (ring section) under mixed boundary conditions of the first and third kind (given temperature and convection)

Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité,...
To build the scheme we used QE1509 - quadrangular QE of heat conduction, 1555 - two-node QE of convective heat transfer. Number of nodes:870. Number of elements:1015. *For: l>>R_e.

Stationary heat propagation in a plate (ring section) under boundary conditions of the third kind (convection)

Аналитическое решение: Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et...
To build the scheme we used FE1509 - quadrangular FE of heat conduction, 1555 - two-node FE of convective heat transfer. Number of nodes:98. Number of elements:147.

Stationary heat propagation in the rod under boundary conditions of the first kind (given temperature)

Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité,...
To build the circuit we used FE1505 - rod heat conduction FE. Number of nodes:6. Number of elements:6.

Stationary heat propagation in the rod under mixed boundary conditions of the first and third kind (given temperature and convection)

Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité,...
To build the circuit we used FE1505 - rod heat conduction FE. Number of nodes:6. Number of elements:8.

Stationary heat propagation in the rod under third kind boundary conditions (convection)

Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité,...
To build the scheme we used FE1505 - rod heat conduction FE, 1551 - one-node convective heat transfer FE. Number of nodes: 2. Number of elements: 3. *For: h>>l.

Stationary heat propagation in an inhomogeneous rod under boundary conditions of the third kind (convection)

Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité,...
To build the scheme we used KE1505 - rod heat conduction KE, 1551 - one-node convective heat transfer KE. Number of nodes: 3. Number of elements: 4. *For: h>>l.

Stationary heat propagation along the radius of a hollow ball under boundary conditions of the first kind (given temperature)

Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité,...
To build the scheme we used FE1514 - volumetric six-node FE of heat conduction, FE1516 - volumetric eight-node FE of heat conduction. Number of nodes:1362. Number of elements: 1250.

Stationary heat propagation along the radius of a hollow ball under mixed boundary conditions of the first and third kind (given temperature and convection)

Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité,...
To build the scheme we used FE1514 - volumetric six-node FE of thermal conductivity, FE1516 - volumetric eight-node FE of thermal conductivity, 1558 - triangular FE of convective heat transfer, 1559 - quadrangular FE of convective heat transfer. Number of nodes: 1362. Number of elements:1500.

Stationary heat propagation along the radius of a hollow ball under boundary conditions of the third kind (convection)

Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité,...
To build the scheme we used FE1514 - volumetric six-node FE of thermal conductivity, FE1516 - volumetric eight-node FE of thermal conductivity, 1558 - triangular FE of convective heat transfer, 1559 - quadrangular FE of convective heat transfer. Number of knots: 1135. Number of elements:1500.

Stationary heat propagation along the radius of an inhomogeneous hollow ball under boundary conditions of the third kind (convection)

Société Bançajse des Mécaniciens, Commission Validation des progiciels de calcul de. Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité,...
To build the scheme we used FE1514 - volumetric six-node FE of thermal conductivity, FE1516 - volumetric eight-node FE of thermal conductivity, 1558 - triangular FE of convective heat transfer, 1559 - quadrangular FE of convective heat transfer. Number of nodes: 908. Number of elements:1250.

← ctrl Prev. Next ctrl →
Pages: 1 2

Verification examples


Follow us