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Commit a103a5d4 authored by Christophe Geuzaine's avatar Christophe Geuzaine
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nonlinear support + rework generic groups

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Magnetodynamics/Lib_MagStaDyn_av_2D_Cir.pro
+ 92
− 25
View file @ a103a5d4
......@@ -9,31 +9,40 @@
DefineConstant[
Flag_FrequencyDomain = 1, // frequency-domain or time-domain simulation
Flag_CircuitCoupling = 0 // consider coupling with external electric circuit
Flag_CircuitCoupling = 0, // consider coupling with external electric circuit
Flag_NewtonRaphson = 1, // Newton-Raphson or Picard method for nonlinear iterations
CoefPower = 0.5, // coefficient for power calculations
Freq = 50, // frequency (for harmonic simulations)
TimeInit = 0, // intial time (for time-domain simulations)
TimeFinal = 1/50, // final time (for time-domain simulations)
DeltaTime = 1/500, // time step (for time-domain simulations)
FE_Order = 1 // finite element order
FE_Order = 1, // finite element order
Val_Rint = 0, // interior radius of annulus shell transformation region (Vol_Inf_Mag)
Val_Rext = 0 // exterior radius of annulus shell transformation region (Vol_Inf_Mag)
NL_tol_abs = 1e-6, // absolute tolerance on residual for noninear iterations
NL_tol_rel = 1e-6, // relative tolerance on residual for noninear iterations
NL_iter_max = 20 // maximum number of noninear iterations
];
Group {
DefineGroup[
Vol_CC_Mag, // the non-conducting part
Vol_C_Mag, // the conducting part
Vol_V_Mag, // a moving conducting part, with invariant mesh
// The full magnetic domain:
Vol_Mag,
// Subsets of Vol_Mag:
Vol_C_Mag, // massive conductors
Vol_S0_Mag, // stranded conductors with imposed current densities js0
Vol_S_Mag, // stranded conductors with imposed current, voltage or circuit coupling
Vol_NL_Mag, // nonlinear magnetic materials
Vol_V_Mag, // moving massive conducting parts (with invariant mesh)
Vol_M_Mag, // permanent magnets
Vol_S0_Mag, // current source domain with imposed current densities js0
Vol_S_Mag, // current source domain with imposed current, imposed voltage or
// circuit coupling
Vol_Inf_Mag, // annulus where a infinite shell transformation is applied
// Boundaries:
Sur_FluxTube_Mag, // boundary with Neumann BC
Sur_Perfect_Mag, // boundary of perfect conductors (i.e. non-meshed)
Sur_Perfect_Mag, // boundary of perfect conductors (non-meshed)
Sur_Imped_Mag // boundary of conductors approximated by a surface impedance
// (i.e. non-meshed)
// (non-meshed)
];
If(Flag_CircuitCoupling)
DefineGroup[
......@@ -53,12 +62,13 @@ Function {
sigma, // conductivity (in Vol_C_Mag and Vol_S_Mag)
br, // remanent magnetic flux density (in Vol_M_Mag)
js0, // source current density (in Vol_S0_Mag)
dhdb, // Jacobian for Newton-Raphson method (in Vol_NL_Mag)
nxh, // n x magnetic field (on Sur_FluxTube_Mag)
Velocity, // velocity of moving part Vol_V_Mag
Velocity, // velocity of moving part (in Vol_V_Mag)
Ns, // number of turns (in Vol_S_Mag)
Sc, // cross-section of windings (in Vol_S_Mag)
CoefGeos, // geometrical coefficient for 2D or 2D axi model
Ysur // surface admittance (inverse of surface impedance Zsur) on Sur_Imped_Mag
CoefGeos, // geometrical coefficient for 2D or 2D axi model (in Vol_Mag)
Ysur // surface admittance (on Sur_Imped_Mag)
];
If(Flag_CircuitCoupling)
DefineFunction[
......@@ -72,8 +82,8 @@ Function {
// End of definitions.
Group{
// all volumes
Vol_Mag = Region[ {Vol_CC_Mag, Vol_C_Mag, Vol_V_Mag, Vol_M_Mag, Vol_S0_Mag, Vol_S_Mag} ];
// all linear materials
Vol_L_Mag = Region[ {Vol_Mag, -Vol_NL_Mag} ];
// all volumes + surfaces on which integrals will be computed
Dom_Mag = Region[ {Vol_Mag, Sur_FluxTube_Mag, Sur_Perfect_Mag, Sur_Imped_Mag} ];
If(Flag_CircuitCoupling)
......@@ -230,7 +240,19 @@ Formulation {
}
Equation {
Integral { [ nu[] * Dof{d a} , {d a} ];
In Vol_Mag; Jacobian Vol; Integration Gauss_v; }
In Vol_L_Mag; Jacobian Vol; Integration Gauss_v; }
If(Flag_NewtonRaphson)
Integral { [ nu[{d a}] * {d a} , {d a} ];
In Vol_NL_Mag; Jacobian Vol; Integration Gauss_v; }
Integral { [ dhdb[{d a}] * Dof{d a} , {d a} ];
In Vol_NL_Mag; Jacobian Vol; Integration Gauss_v; }
Integral { [ - dhdb[{d a}] * {d a} , {d a} ];
In Vol_NL_Mag; Jacobian Vol; Integration Gauss_v; }
Else
Integral { [ nu[{d a}] * Dof{d a}, {d a} ];
In Vol_NL_Mag; Jacobian Vol; Integration Gauss_v; }
EndIf
Integral { [ - nu[] * br[] , {d a} ];
In Vol_M_Mag; Jacobian Vol; Integration Gauss_v; }
......@@ -270,7 +292,20 @@ Formulation {
}
Equation {
Integral { [ nu[] * Dof{d a} , {d a} ];
In Vol_Mag; Jacobian Vol; Integration Gauss_v; }
In Vol_L_Mag; Jacobian Vol; Integration Gauss_v; }
If(Flag_NewtonRaphson)
Integral { [ nu[{d a}] * {d a} , {d a} ];
In Vol_NL_Mag; Jacobian Vol; Integration Gauss_v; }
Integral { [ dhdb[{d a}] * Dof{d a} , {d a} ];
In Vol_NL_Mag; Jacobian Vol; Integration Gauss_v; }
Integral { [ - dhdb[{d a}] * {d a} , {d a} ];
In Vol_NL_Mag; Jacobian Vol; Integration Gauss_v; }
Else
Integral { [ nu[{d a}] * Dof{d a}, {d a} ];
In Vol_NL_Mag; Jacobian Vol; Integration Gauss_v; }
EndIf
Integral { [ - nu[] * br[] , {d a} ];
In Vol_M_Mag; Jacobian Vol; Integration Gauss_v; }
......@@ -312,7 +347,6 @@ Formulation {
// js[0] should be of the form: Ns[]/Sc[] * Vector[0,0,1]
Integral { [ - (js0[]*Vector[0,0,1]) * Dof{ir} , {a} ];
In Vol_S_Mag; Jacobian Vol; Integration Gauss_v; }
Integral { DtDof [ Ns[]/Sc[] * Dof{a} , {ir} ];
In Vol_S_Mag; Jacobian Vol; Integration Gauss_v; }
Integral { [ Ns[]/Sc[] / sigma[] * (js0[]*Vector[0,0,1]) * Dof{ir} , {ir} ];
......@@ -365,7 +399,21 @@ Resolution {
InitSolution[Sys]; // provide initial condition
TimeLoopTheta[TimeInit, TimeFinal, DeltaTime, 1.]{
// Euler implicit (1) -- Crank-Nicolson (0.5)
Generate[Sys]; Solve[Sys]; SaveSolution[Sys];
Generate[Sys]; Solve[Sys];
If(NbrRegions[Vol_NL_Mag])
Generate[Sys]; GetResidual[Sys, $res0];
Evaluate[ $res = $res0, $iter = 0 ];
Print[{$iter, $res, $res / $res0},
Format "Residual %03g: abs %14.12e rel %14.12e"];
While[$res > NL_tol_abs && $res / $res0 > NL_tol_rel &&
$res / $res0 <= 1 && $iter < NL_iter_max]{
Solve[Sys]; Generate[Sys]; GetResidual[Sys, $res];
Evaluate[ $iter = $iter + 1 ];
Print[{$iter, $res, $res / $res0},
Format "Residual %03g: abs %14.12e rel %14.12e"];
}
EndIf
SaveSolution[Sys];
}
EndIf
}
......@@ -375,7 +423,22 @@ Resolution {
{ Name Sys; NameOfFormulation MagSta_a_2D; }
}
Operation {
Generate[Sys]; Solve[Sys]; SaveSolution[Sys];
InitSolution[Sys];
Generate[Sys]; Solve[Sys];
If(NbrRegions[Vol_NL_Mag])
Generate[Sys]; GetResidual[Sys, $res0];
Evaluate[ $res = $res0, $iter = 0 ];
Print[{$iter, $res, $res / $res0},
Format "Residual %03g: abs %14.12e rel %14.12e"];
While[$res > NL_tol_abs && $res / $res0 > NL_tol_rel &&
$res / $res0 <= 1 && $iter < NL_iter_max]{
Solve[Sys]; Generate[Sys]; GetResidual[Sys, $res];
Evaluate[ $iter = $iter + 1 ];
Print[{$iter, $res, $res / $res0},
Format "Residual %03g: abs %14.12e rel %14.12e"];
}
EndIf
SaveSolution[Sys];
}
}
}
......@@ -399,6 +462,10 @@ PostProcessing {
Term { [ {d a} ]; In Vol_Mag; Jacobian Vol; }
}
}
{ Name norm_of_b; Value {
Term { [ Norm[{d a}] ]; In Vol_Mag; Jacobian Vol; }
}
}
{ Name h; Value {
Term { [ nu[] * {d a} ]; In Vol_Mag; Jacobian Vol; }
Term { [ -nu[] * br[] ]; In Vol_M_Mag; Jacobian Vol; }
......
Magnetodynamics/electromagnet.pro
+ 5
− 5
View file @ a103a5d4
......@@ -29,11 +29,11 @@ Group {
// Abstract regions used in the "Lib_MagStaDyn_av_2D_Cir.pro" template file
// that is included below:
Vol_CC_Mag = Region[{Air, AirInf}]; // Non-conducting regions
Vol_C_Mag = Region[{Core}]; // Massive conducting regions
Vol_S_Mag = Region[{Ind}]; // Stranded conductors, i.e., coils
Vol_Inf_Mag = Region[{AirInf}]; // Annulus for infinite shell transformation
Val_Rint = rInt; Val_Rext = rExt; // Interior and exterior radii of annulus
Vol_Mag = Region[{Air, Core, Ind, AirInf}]; // full magnetic domain
Vol_C_Mag = Region[Core]; // massive conductors
Vol_S_Mag = Region[Ind]; // stranded conductors (coils)
Vol_Inf_Mag = Region[AirInf]; // annulus for infinite shell transformation
Val_Rint = rInt; Val_Rext = rExt; // interior and exterior radii of annulus
}
Function {
......
Magnetodynamics/transfo.pro
+ 12
− 28
View file @ a103a5d4
......@@ -28,44 +28,28 @@ DefineConstant[
];
Group {
/* Abstract regions that will be used in the "Lib_MagStaDyn_av_2D_Cir.pro"
template file included below; the regions are first intialized as empty,
before being filled with physical groups */
Vol_CC_Mag = Region[{}]; // Non-conducting regions
Vol_C_Mag = Region[{}]; // Massive conductors
Vol_S_Mag = Region[{}]; // Stranded conductors, i.e., coils
// air physical groups
// Physical regions:
Air = Region[{AIR_WINDOW, AIR_EXT}];
Vol_CC_Mag += Region[Air];
// exterior boundary
Sur_Air_Ext = Region[{SUR_AIR_EXT}];
// magnetic core of the transformer, assumed to be non-conducting
Core = Region[CORE];
Vol_CC_Mag += Region[Core];
Coil_1_P = Region[COIL_1_PLUS];
Coil_1_M = Region[COIL_1_MINUS];
Sur_Air_Ext = Region[SUR_AIR_EXT]; // exterior boundary
Core = Region[CORE]; // magnetic core of the transformer, assumed non-conducting
Coil_1_P = Region[COIL_1_PLUS]; // 1st coil, positive side
Coil_1_M = Region[COIL_1_MINUS]; // 1st coil, negative side
Coil_1 = Region[{Coil_1_P, Coil_1_M}];
Coil_2_P = Region[COIL_2_PLUS];
Coil_2_M = Region[COIL_2_MINUS];
Coil_2_P = Region[COIL_2_PLUS]; // 2nd coil, positive side
Coil_2_M = Region[COIL_2_MINUS]; // 2nd coil, negative side
Coil_2 = Region[{Coil_2_P, Coil_2_M}];
Coils = Region[{Coil_1, Coil_2}];
// Abstract regions that will be used in the "Lib_MagStaDyn_av_2D_Cir.pro"
// template file included below;
Vol_Mag = Region[{Air, Core, Coils}]; // full magnetic domain
If (type_Conds == 1)
Vol_C_Mag += Region[{Coils}];
Vol_C_Mag = Region[{Coils}]; // massive conductors
ElseIf (type_Conds == 2)
Vol_S_Mag += Region[{Coils}];
Vol_CC_Mag += Region[{Coils}];
Vol_S_Mag = Region[{Coils}]; // stranded conductors (coils)
EndIf
}
Function {
mu0 = 4e-7*Pi;
......
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