前提条件

CentOS7 on Vagrant (IP:192.168.33.10)
docker-compose version:1.13.1:
docker version: 1.10.2

まずはnginx単独で

./nginx/Dockerfile

# 公式イメージでも良いが変更を考慮してDockerfileにて実施
FROM nginx:1.11

./nginx/conf.d/nginx.conf

# Configuration for the server
server {
    listen       8080;
    server_name  localhost;
    root   /usr/share/nginx/html;

    location / {
        index  index.html index.htm;
    }

    error_page   500 502 503 504  /50x.html;
    location = /50x.html {
        root   /usr/share/nginx/html;
    }

    location ~ /\.ht {
        deny  all;
    }
}

docker-compose.yml

version: '2'
services:
  nginx:
    build: nginx/
    hostname: ng01
    ports:
      - 8080:8080
    volumes:
      - ./nginx/conf.d:/etc/nginx/conf.d
      - ./nginx/log:/var/log/nginx
    container_name: nginx01

これでとりあえず起動すると

docker-compose up -d

http://192.168.33.10:8080/
にてnginxのhomeへアクセス可能

nginx with tomcat

Dockerfile

./tomcat/Dockerfile

FROM tomcat:8.5

tomcat(app) は8090ポートで連携する。

今のversionではlinksの定義は不要. nginx01 container からping app/app01が可能

docker-compose.yml

version: '2'
services:
  nginx:
    build: nginx/
    hostname: ng01
    ports:
      - 8080:8080
    volumes:
      - ./nginx/conf.d:/etc/nginx/conf.d
      - ./nginx/log:/var/log/nginx
    container_name: nginx01
  app:
    build: tomcat/
    hostname: appserver
    ports:
      - 8090:8090
    volumes:
      - ./tomcat/conf:/usr/local/tomcat/conf
      - ./tomcat/log:/usr/local/tomcat/log
    container_name: app01

nginxのconfに修正を加える。

./nginx/conf.d/nginx.conf

# Configuration for the server
    ....
    location / {
        #以下の１行追加(container_nameのapp01でもOK)
        proxy_pass http://app:8090;
        index  index.html index.htm;
    }
    ....
}

tomcat のserver.xml のポートも8080->8090に修正

./tomcat/conf/server.xml

....
<Connector port="8090" protocol="HTTP/1.1"
         connectionTimeout="20000"
         redirectPort="8443" />

http://192.168.33.10:8080/
にアクセスしてみると今度はtomcat homeが見えるはず。