From 89d31f4be8d408bfa63cd27e9afa2279c0245791 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Fran=C3=A7ois=20Henrotte?= <francois.henrotte@uclouvain.be>
Date: Tue, 17 Apr 2018 09:17:07 +0200
Subject: [PATCH] minor corrections
---
MagneticForces/magnets.pro | 24 ++++++++++++++----------
1 file changed, 14 insertions(+), 10 deletions(-)
diff --git a/MagneticForces/magnets.pro b/MagneticForces/magnets.pro
index 3421498..7e73f2d 100644
--- a/MagneticForces/magnets.pro
+++ b/MagneticForces/magnets.pro
@@ -2,7 +2,8 @@
Tutorial 9 : 3D magnetostatic dual formulations and magnetic forces
Features:
- - Dual 3D magnetostatic formulations
+ - 3D Magnetostatics
+ - Dual vector and scalar magnetic potentials formulations
- Boundary condition at infinity with infinite elements
- Maxwell stress tensor and rigid-body magnetic forces
@@ -24,12 +25,12 @@
in the problem decription below, irresective of whether they are
truly permanent magnets or ferromagnetic barrels.
- The tutorial model proposes the both dual 3D magnetostatic formulations:
+ The tutorial model proposes both dual 3D magnetostatic formulations:
the magnetic vector potential formulation with spanning-tree gauging,
and the scalar magnetic potential formulation.
The later is rather simple in this case since, as there are no conductors,
the known coercive field hc[] is the only source field "hs" one needs
- to represens the magnetic field:
+ to represent the magnetic field:
h = hs - grad phi , hs = -hc.
@@ -45,19 +46,22 @@
which is a material dependent function of the magnetic induction "b" field.
Exactly like we computed the heat flux "q(S)" through a surface "S"
using a special auxiliary function "g(S)" associated with that surface
- in the tutorial "Tutorial 5 : thermal problem with contact resistances",
+ in "Tutorial 5 : thermal problem with contact resistances",
the magnetic force acting on a rigid body in empty space can be evaluated
as the flux of the Maxwell stress tensor through that surface.
There is one auxiliary function "g(SkinMagnet~{i}) = un~{i}"
- for each magnet and the resultant magnetic force acting on "Magnet~{i}"
+ for each magnet, and the resultant magnetic force acting on "Magnet~{i}"
is given by the integral:
f~{i} = Integral [ TM[{b}] * {-grad un~{i}} ] ;
- It should be insisted on the fact that the Maxwell stress is discontinuous
- on material discontinuities, and that magnetic forces on rigid bodies
- only depend on the Maxwell stress tensor of empty space and
- on the "b" and "h" field distribution on the outer side of "SkinMagnet~{i}".
+ It should be insisted on the fact that the Maxwell stress tensor
+ is always discontinuous on material discontinuities,
+ and that magnetic forces acting on rigid bodies
+ only depend on the Maxwell stress tensor of empty space,
+ and on the "b" and "h" field distribution,
+ on the external side of "SkinMagnet~{i}"
+ (the side of the surface in contact with air).
"{-grad un~{i}}" in the above formula can be regarded
as the normal vector to "SkinMagnet~{i}"
@@ -69,7 +73,7 @@
which is much smaller than "AirBox".
To speed up the computation of forces, a special domain "Vol_Force"
for force integrations is defined, which contains only
- the layers "layer~{i}" of alla magnets.
+ the layers "layer~{i}" of all magnets.
*/
Include "magnets_common.pro"
--
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