Re-authenticate user when browser closed abruptly without signout

As I am using @Okta/Okta-Angular 2.0.0 and configured to connect Okta with default configuration of storing tokens (ID/Access) in local storage of browser

When user do not user signout properly and abruptly closes the browser. We except the next login must ask user to re-authenticate rather than retaining the earlier browser session tokens. (at the same time, we can’t go for sessionStorage in browser, as we will need multi-tab user session with single login)

Considering the above scenario, can you suggest if there is a better way to address the requirement