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Before initParallel(), non-root processors have empty Mesh object
After initParallel(), Mesh object on each processor is a local partionated mesh containing ghost elements
Element type: _segment_2, not_ghost: 0 in the mesh of processor 3
Element type: _triangle_3, not_ghost: 4 in the mesh of processor 3
Element no 0 3 4 5
Element no 1 0 5 4
Element no 2 1 4 3
Element no 3 0 4 1
Element type: _segment_2, ghost: 2 in the mesh of processor 3
Element no 0 0 1
Element no 1 2 0
Element type: _triangle_3, ghost: 8 in the mesh of processor 3
Element no 0 0 6 7
Element no 1 0 8 6
Element no 2 0 7 2
Element no 3 0 1 8
Element no 4 9 8 1
Element no 5 0 10 5
Element no 6 0 2 10
Element no 7 11 5 10
Nodes are also partionated and new node types are defined:
Number of nodes: 12
Node # 0, x-coord: 0.5, y-coord: 0, of type: 0
Node # 1, x-coord: 1, y-coord: 0, of type: 2
Node # 2, x-coord: 0, y-coord: 0, of type: -3
Node # 3, x-coord: 1, y-coord: -0.5, of type: -1
Node # 4, x-coord: 0.75, y-coord: -0.25, of type: -1
Node # 5, x-coord: 0.5, y-coord: -0.5, of type: 1
Node # 6, x-coord: 0.5, y-coord: 0.5, of type: -3
Node # 7, x-coord: 0.25, y-coord: 0.25, of type: -3
Node # 8, x-coord: 0.75, y-coord: 0.25, of type: -3
Node # 9, x-coord: 1, y-coord: 0.5, of type: -3
Node # 10, x-coord: 0.25, y-coord: -0.25, of type: -3
Node # 11, x-coord: 0, y-coord: -0.5, of type: -3
-3: pure ghost node -> not a local node
-2: master node -> node shared with other processor(s) -> local and global node
>0: slave node -> -> node shared with other processor(s) -> only local node (its id is the rank of the processor owning the master node)
Each local node has a corresponding global id used during assembly:
Global nodes ID:
0 0
1 3
2 6
3 5
4 11
5 8
6 7
7 10
8 9
9 4
10 12
11 2
Within cohesive element model, initParallel() creates a second Mesh object usually called mesh_facet
This Mesh object contains all sub-dimensional elements where potential cohesive element can be inserted
Element type: _point_1, not_ghost: 5 in the mesh of processor 3
Element no 0 3
Element no 1 4
Element no 2 5
Element no 3 0
Element no 4 1
Element type: _segment_2, not_ghost: 6 in the mesh of processor 3
Element no 0 3 4
Element no 1 4 5
Element no 2 5 3
Element no 3 4 0
Element no 4 1 4
Element no 5 3 1
Element type: _point_1, ghost: 0 in the mesh of processor 3
Element type: _segment_2, ghost: 11 in the mesh of processor 3
Element no 0 5 0
Element no 1 0 1
Element no 2 0 6
Element no 3 7 0
Element no 4 0 8
Element no 5 2 0
Element no 6 1 8
Element no 7 1 9
Element no 8 0 10
Element no 9 10 5
Element no 10 11 5
The distributed synchronizer of solid mechanics model is used to synchronize fields with ghost element:
From processor 3 to processor 0
Sending element(s):
Element [_triangle_3, 1, not_ghost]
Element [_triangle_3, 3, not_ghost]
Receiving element(s):
Element [_triangle_3, 0, ghost]
Element [_triangle_3, 2, ghost]
From processor 3 to processor 1
Sending element(s):
Element [_triangle_3, 0, not_ghost]
Element [_triangle_3, 1, not_ghost]
Element [_triangle_3, 3, not_ghost]
Receiving element(s):
Element [_triangle_3, 5, ghost]
Element [_triangle_3, 6, ghost]
Element [_triangle_3, 7, ghost]
From processor 3 to processor 2
Sending element(s):
Element [_triangle_3, 1, not_ghost]
Element [_triangle_3, 2, not_ghost]
Element [_triangle_3, 3, not_ghost]
Receiving element(s):
Element [_triangle_3, 1, ghost]
Element [_triangle_3, 3, ghost]
Element [_triangle_3, 4, ghost]
In case of insertion along physical objects, cohesive elements are created during initFull()
Elements list after insertion
Element type: _cohesive_2d_4, not_ghost: 0 in the mesh of processor 3
Element type: _segment_2, not_ghost: 0 in the mesh of processor 3
Element type: _triangle_3, not_ghost: 4 in the mesh of processor 3
Element no 0 3 4 5
Element no 1 13 5 4
Element no 2 12 4 3
Element no 3 13 4 12
Element type: _cohesive_2d_4, ghost: 2 in the mesh of processor 3
Element no 0 0 1 13 12
Element no 1 2 0 2 13
Element type: _segment_2, ghost: 2 in the mesh of processor 3
Element no 0 0 1
Element no 1 2 0
Element type: _triangle_3, ghost: 8 in the mesh of processor 3
Element no 0 0 6 7
Element no 1 0 8 6
Element no 2 0 7 2
Element no 3 0 1 8
Element no 4 9 8 1
Element no 5 13 10 5
Element no 6 13 2 10
Element no 7 11 5 10
Node list after insertion: (Total number of nodes 14)
Number of nodes: 14
Node # 0, x-coord: 0.5, y-coord: 0, of type: 0
Node # 1, x-coord: 1, y-coord: 0, of type: 2
Node # 2, x-coord: 0, y-coord: 0, of type: -3
Node # 3, x-coord: 1, y-coord: -0.5, of type: -1
Node # 4, x-coord: 0.75, y-coord: -0.25, of type: -1
Node # 5, x-coord: 0.5, y-coord: -0.5, of type: 1
Node # 6, x-coord: 0.5, y-coord: 0.5, of type: -3
Node # 7, x-coord: 0.25, y-coord: 0.25, of type: -3
Node # 8, x-coord: 0.75, y-coord: 0.25, of type: -3
Node # 9, x-coord: 1, y-coord: 0.5, of type: -3
Node # 10, x-coord: 0.25, y-coord: -0.25, of type: -3
Node # 11, x-coord: 0, y-coord: -0.5, of type: -3
Node # 12, x-coord: 1, y-coord: 0, of type: 2
Node # 13, x-coord: 0.5, y-coord: 0, of type: 0
Node global ids after insertion: (Total number of nodes 16)
Global nodes ID:
0 0
1 3
2 6
3 5
4 11
5 8
6 7
7 10
8 9
9 4
10 12
11 2
12 15
13 14
Solid mechanics model cohesive has its own distributed synchronizer to handle ghost cohesive element:
From processor 3 to processor 0
Sending element(s):
Receiving element(s):
Element [_cohesive_2d_4, 1, ghost]
From processor 3 to processor 1
Sending element(s):
Receiving element(s):
From processor 3 to processor 2
Sending element(s):
Receiving element(s):
Element [_cohesive_2d_4, 0, ghost]
A synchronizer dedicated to degrees of freedom (DOFs) is used by the solver to build matrices in parallel:
This DOFSynchronizer is built based on nodes global id
Number of global dofs 32 for processor 3
Local dof 0, global id: 0
Local dof 1, global id: 1
Local dof 2, global id: 6
Local dof 3, global id: 7
Local dof 4, global id: 12
Local dof 5, global id: 13
Local dof 6, global id: 10
Local dof 7, global id: 11
Local dof 8, global id: 22
Local dof 9, global id: 23
Local dof 10, global id: 16
Local dof 11, global id: 17
Local dof 12, global id: 14
Local dof 13, global id: 15
Local dof 14, global id: 20
Local dof 15, global id: 21
Local dof 16, global id: 18
Local dof 17, global id: 19
Local dof 18, global id: 8
Local dof 19, global id: 9
Local dof 20, global id: 24
Local dof 21, global id: 25
Local dof 22, global id: 4
Local dof 23, global id: 5
Local dof 24, global id: 30
Local dof 25, global id: 31
Local dof 26, global id: 28
Local dof 27, global id: 29
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