Hello, thank you for your help. 

The next day after the failure, I restart ospf_business on faulty r2. Discovery can be seen from r0 sent over the default route on r2 routing table. I was very surprised, and why? Next, how do I troubleshoot? 

r0 is a Layer 3 switch. 

The following is the recovery seen in r0-2 status. 

r1: 

bird> show ospf state all ospf_business 
1016 - 
     area 0.0.0.20 
      
     router x.y.z.1 
     distance 10 
     network x.y.z.0/28 metric 1 
     external 0.0.0.0 / 0 metric2 1 tag 00000001 
      
     router x.y.z.3 
     distance 0 
     network x.y.z.0/28 metric 10 
     external a.b.c.d/25 metric2 20 via x.y.z.1 
      
     network x.y.z.0/28 
     dr x.y.z.3 
     distance 10 
     router x.y.z.3 
     router x.y.z.1 

r2: 

bird> show ospf state all ospf_business 
1016 - 
     area 0.0.0.30 
      
     router x.y.z.17 
     distance 10 
     network x.y.z.16/28 metric 1 
     external 0.0.0.0 / 0 metric2 1 tag 00000001 
      
     router x.y.z.19 
     distance 0 
     network x.y.z.16/28 metric 10 
      
     network x.y.z.16/28 
     dr x.y.z.17 
     distance 10 
     router x.y.z.17 
     router x.y.z.19 

r0: 

<r0-switch> display ospf brief 

OSPF Process 100 with Router ID x.y.z.1 
OSPF Protocol Information 

 RouterID: x.y.z.1 Border Router: AS 
 Multi-VPN-Instance is not enabled 
 Graceful-restart capability: disabled 
 Helper support capability: not configured 
 Spf-schedule-interval: max 10000ms, start 500ms, hold 1000ms 
 Default ASE parameters: Metric: 1 Tag: 1 Type: 2 
 Route Preference: 10 
 ASE Route Preference: 150 
 SPF Computation Count: 62 
 RFC 1583 Compatible 
 Retransmission limitation is disabled 
 Area Count: 1 Nssa Area Count: 0 
 ExChange / Loading Neighbors: 0 
 Process total up interface count: 1 
 Process valid up interface count: 1 
  
 Area: 0.0.0.20 
 Authtype: None Area flag: Normal 
 SPF scheduled Count: 62 
 ExChange / Loading Neighbors: 0 
 Router ID conflict state: Normal 
 Area interface up count: 1 

 Interface: x.y.z.1 (Vlanif3) 
 Cost: 1 State: BDR Type: Broadcast MTU: 1500 
 Priority: 1 
 Designated Router: x.y.z.3 
 Backup Designated Router: x.y.z.1 
 Timers: Hello 10, Dead 40, Poll 120, Retransmit 5, Transmit Delay 1 

OSPF Process 200 with Router ID x.y.z.17 
OSPF Protocol Information 

 RouterID: x.y.z.17 Border Router: AS 
 Multi-VPN-Instance is not enabled 
 Graceful-restart capability: disabled 
 Helper support capability: not configured 
 Spf-schedule-interval: max 10000ms, start 500ms, hold 1000ms 
 Default ASE parameters: Metric: 1 Tag: 1 Type: 2 
 Route Preference: 10 
 ASE Route Preference: 150 
 SPF Computation Count: 53 
 RFC 1583 Compatible 
 Retransmission limitation is disabled 
 Area Count: 1 Nssa Area Count: 0 
 ExChange / Loading Neighbors: 0 
 Process total up interface count: 1 
 Process valid up interface count: 1 
  
 Area: 0.0.0.30 
 Authtype: None Area flag: Normal 
 SPF scheduled Count: 53 
 ExChange / Loading Neighbors: 0 
 Router ID conflict state: Normal 
 Area interface up count: 1 

 Interface: x.y.z.17 (Vlanif4) 
 Cost: 1 State: DR Type: Broadcast MTU: 1500 
 Priority: 1 
 Designated Router: x.y.z.17 
 Backup Designated Router: x.y.z.19 
 Timers: Hello 10, Dead 40, Poll 120, Retransmit 5, Transmit Delay 1 

The following is r0 configurations: 

interface Vlanif3 
 ip address x.y.z.1 255.255.255.240 
 ospf authentication-mode md5 1 cipher pass1 
interface Vlanif4 
 ip address x.y.z.17 255.255.255.240 
 ospf authentication-mode md5 1 cipher pass2 

ospf 100 router-id x.y.z.1 
 description business about bussiness1 
 default-route-advertise 
 area 0.0.0.20 
  network x.y.z.0 0.0.0.15 
ospf 200 router-id x.y.z.17 
 description business about bussiness2 
 default-route-advertise 
 area 0.0.0.30 
    network x.y.z.16 0.0.0.15 
ip route-static 0.0.0.0 0.0.0.0 q.w.e.r