# 2D Axisymmetric Inductive heating — Welcome to LS-DYNA Examples

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2D axisymmetric Inductive heating example with periodic recomputation of EM fields. This example uses the monolithic solver to solve the FEM/BEM system which allows to use higher timesteps (See choice of numls).

## Description

2D axisymmetric Inductive heating example with periodic recomputation of EM fields. This example uses the monolithic solver to solve the FEM/BEM system which allows to use higher timesteps (See choice of numls).

References :

[1]Approximate analytical solution for induction heating of solid cylinders
Todd A. Jankowski∗, Norma H. Pawley, Lindsey M. Gonzales, Craig A. Ross, James D. Jurney, Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, NM 87545, USA, Annual Mathematical Modelling 40 (2016) 2770-2782

## Animated Result

Temperature fringes

## Keywords

```*EM_2DAXI
*EM_BOUNDARY
*EM_CIRCUIT
*EM_CONTROL
*EM_CONTROL_TIMESTEP
*EM_EOS_TABULATED1
*EM_MAT_001
*EM_ROTATION_AXIS
*EM_SOLVER_BEM
*EM_SOLVER_BEMMAT
*EM_SOLVER_FEM
*EM_SOLVER_FEMBEM_MONOLITHIC
*END```

## Reduced Input

```\$-----------------------------------------------------------------------------
\$
\$ Example provided by Iñaki (LST-Ansys)
\$
\$
\$X
\$X------------------------------------------------------------------------------
\$# UNITS: (S.I)
\$X------------------------------------------------------------------------------
\$X
*KEYWORD
*TITLE
2D Axisymmetric Inductive heating example
\$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
\$                                                                              \$
\$                             EM CONTROL                                       \$
\$                                                                              \$
\$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
*EM_CONTROL
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$    emsol     numls
2    &numls
*EM_CONTROL_TIMESTEP
1,&em_macrdt
*EM_SOLVER_FEMBEM_MONOLITHIC
0,1,1.e-12,1.e-3
*EM_ROTATION_AXIS
0,0,0,0,0,1,32
*EM_2DAXI
100,12,,,62,82
*EM_2DAXI
101,1,,,51,71
*EM_2DAXI
102,2,,,52,72
*EM_2DAXI
103,3,,,53,73
*EM_2DAXI
104,4,,,54,74
*EM_2DAXI
105,5,,,55,75
*EM_2DAXI
106,6,,,56,76
*EM_2DAXI
107,7,,,57,77
*EM_2DAXI
108,8,,,58,78
*EM_2DAXI
109,9,,,59,79
*EM_2DAXI
110,10,,,60,80
*EM_2DAXI
111,11,,,61,81
\$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
\$                                                                              \$
\$                             EM CIRCUIT                                       \$
\$                                                                              \$
\$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
*EM_CIRCUIT
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   circid  circtype      lcid       R/F       L/A      C/t0        V0
1        11               &freq      &amp
\$ ssidCurr ssidVltin ssidVltOt    partID
1        51        71
*EM_CIRCUIT
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   circid  circtype      lcid       R/F       L/A      C/t0        V0
2        11               &freq      &amp
\$ ssidCurr ssidVltin ssidVltOt    partID
2        52        72
*EM_CIRCUIT
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   circid  circtype      lcid       R/F       L/A      C/t0        V0
3        11               &freq      &amp
\$ ssidCurr ssidVltin ssidVltOt    partID
3        53        73
*EM_CIRCUIT
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   circid  circtype      lcid       R/F       L/A      C/t0        V0
4        11               &freq      &amp
\$ ssidCurr ssidVltin ssidVltOt    partID
4        54        74
*EM_CIRCUIT
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   circid  circtype      lcid       R/F       L/A      C/t0        V0
5        11               &freq      &amp
\$ ssidCurr ssidVltin ssidVltOt    partID
5        55        75
*EM_CIRCUIT
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   circid  circtype      lcid       R/F       L/A      C/t0        V0
6        11               &freq      &amp
\$ ssidCurr ssidVltin ssidVltOt    partID
6        56        76
*EM_CIRCUIT
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   circid  circtype      lcid       R/F       L/A      C/t0        V0
7        11               &freq      &amp
\$ ssidCurr ssidVltin ssidVltOt    partID
7        57        77
*EM_CIRCUIT
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   circid  circtype      lcid       R/F       L/A      C/t0        V0
8        11               &freq      &amp
\$ ssidCurr ssidVltin ssidVltOt    partID
8        58        78
*EM_CIRCUIT
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   circid  circtype      lcid       R/F       L/A      C/t0        V0
9        11               &freq      &amp
\$ ssidCurr ssidVltin ssidVltOt    partID
9        59        79
*EM_CIRCUIT
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   circid  circtype      lcid       R/F       L/A      C/t0        V0
10        11               &freq      &amp
\$ ssidCurr ssidVltin ssidVltOt    partID
10        60        80
*EM_CIRCUIT
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   circid  circtype      lcid       R/F       L/A      C/t0        V0
11        11               &freq      &amp
\$ ssidCurr ssidVltin ssidVltOt    partID
11        61        81
*EM_BOUNDARY
21,9
*EM_BOUNDARY
22,9
*EM_BOUNDARY
23,9
*EM_BOUNDARY
24,9
*EM_BOUNDARY
25,9
*EM_BOUNDARY
26,9
*EM_BOUNDARY
27,9
*EM_BOUNDARY
28,9
*EM_BOUNDARY
29,9
*EM_BOUNDARY
30,9
*EM_BOUNDARY
31,9
\$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
\$                                                                              \$
\$                             EM MAT and EOS                                   \$
\$                                                                              \$
\$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
*EM_MAT_001
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   em_mid     mtype     sigma     eosId
1         2 &em_cond1
*EM_MAT_001
\$--------1---------2---------3---------4---------5---------6---------7---------8
\$   em_mid     mtype     sigma     eosId
2         4 &em_cond2       100
\$         2         4 &em_cond2
*EM_EOS_TABULATED1
100,201
\$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
\$                                                                              \$
\$                             EM SOLVER                                        \$
\$                                                                              \$
\$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
*EM_SOLVER_BEMMAT
\$#   matid                                                                reltol
1                                                                  1e-6
*EM_SOLVER_BEMMAT
\$#   matid                                                                reltol
2                                                                  1e-6
*EM_SOLVER_BEM
\$#  reltol     maxit     stype    precon    uselas  ncyclbem
1e-6      5000         2         2         1&em_bemmtx
*EM_SOLVER_FEM
\$#  reltol     maxit     stype    precon    uselas  ncyclbem
1e-4      5000         1         1         1&em_femmtx
\$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
\$                                                                              \$
\$                             EM OUTPUT                                        \$
\$                                                                              \$
\$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
*EM_OUTPUT
\$     matS      matF      solS      solF      mesh
2         2         2         2         0
*END```