// element ids / proc_id:
// |-------|-------|-------|
// |       |       |       |
// |  1/0  |  4/2  |  7/2  |
// |       |       |       |
// |-------|-------|-------|
// |       |       |       |
// |  2/0  |  5/1  |  8/2  |
// |       |       |       |
// |-------|-------|-------|
// |       |       |       |
// |  3/0  |  6/2  |  9/2  |
// |       |       |       |
// |-------|-------|-------|
inline
void setupKeyholeMesh3D_case1(stk::mesh::BulkData& bulk)
{
    ThrowRequire(bulk.parallel_size() == 3);
    stk::io::fill_mesh("generated:3x1x3", bulk);

    stk::mesh::EntityProcVec elementProcChanges;
    if (bulk.parallel_rank() == 1) {
        elementProcChanges.push_back(stk::mesh::EntityProc(bulk.get_entity(stk::topology::ELEM_RANK,4u),2));
        elementProcChanges.push_back(stk::mesh::EntityProc(bulk.get_entity(stk::topology::ELEM_RANK,6u),2));
    }
    bulk.change_entity_owner(elementProcChanges);
}
inline
void setupKeyholeMesh3D_case2(stk::mesh::BulkData& bulk)
{
    ThrowRequire(bulk.parallel_size() == 3);
    stk::io::fill_mesh("generated:3x1x3", bulk);

    stk::mesh::EntityProcVec elementProcChanges;
    if (bulk.parallel_rank() == 1) {
        elementProcChanges.push_back(stk::mesh::EntityProc(bulk.get_entity(stk::topology::ELEM_RANK,4),2));
        elementProcChanges.push_back(stk::mesh::EntityProc(bulk.get_entity(stk::topology::ELEM_RANK,6),2));
    }
    bulk.change_entity_owner(elementProcChanges);
    bulk.modification_begin();
    if (bulk.parallel_rank() == 1) {
        stk::mesh::Entity local_element5 = bulk.get_entity(stk::topology::ELEM_RANK,5);
        const bool delete_success = bulk.destroy_entity(local_element5);
        ThrowRequire(delete_success);
    }
    bulk.modification_end();
}