Порт назначения уже виден.

Because назначения is the genitive singular form of назначение.

In Russian, a very common pattern is:

• noun + genitive noun

to mean something like:

• the X of Y
• Y X
• X for Y

So порт назначения literally means something like port of destination, which English normally expresses as destination port.

This is similar to other Russian combinations such as:

• чашка чая = a cup of tea
• центр города = the city center
• место работы = place of work

Not here. Виден is not a finite verb in this sentence.

It is a short-form adjective used predicatively, and it means visible / in sight / able to be seen.

So the structure is basically:

• Порт = the port
• уже = already
• виден = visible

A learner may connect it to the verb видеть meaning to see, and that is natural, but in this sentence виден functions as an adjective-like predicate, not as a conjugated verb.

Because in Russian, the verb to be is normally omitted in the present tense.

So where English says:

• The port is visible

Russian usually just says:

• Порт виден

There is no present-tense is in ordinary Russian sentences like this.

Compare:

• Он врач. = He is a doctor.
• Дом большой. = The house is big.
• Порт уже виден. = The port is already visible.

Because виден agrees with порт, and порт is:

• masculine
• singular

The short forms are:

• виден for masculine singular
• видна for feminine singular
• видно for neuter singular
• видны for plural

For example:

• Гора видна. = The mountain is visible.
• Окно видно. = The window is visible.
• Берега видны. = The shores are visible.

So in your sentence, порт is masculine singular, so виден is the correct form.

Not naturally in this sentence.

Видимый exists, but it is a different form and is used differently. It usually means something like visible in a more descriptive or technical sense, and it does not sound as natural here.

For a simple statement like The port is already visible / in sight, Russian normally uses the short predicate form:

• Порт назначения уже виден.

So this is the standard and idiomatic wording.

Because уже naturally modifies the predicate here: already visible.

So the sentence flows as:

• Порт назначения = destination port
• уже виден = is already visible

This is the most neutral word order.

Russian word order is flexible, though, so you could move things around for emphasis. For example:

• Уже виден порт назначения.

This would put more focus on the fact that the port has now come into view.

But Порт назначения уже виден is the most straightforward, neutral version.

Yes.

• Уже виден порт назначения.

This is grammatically correct and natural. Starting with уже gives slightly more emphasis to the idea of already or now at last.

Russian often changes word order to shift emphasis, not basic meaning.

So:

• Порт назначения уже виден. = neutral
• Уже виден порт назначения. = more emphasis on already

Usually yes, but in context it often feels a bit more natural in English as:

• is in sight
• can already be seen
• has come into view

especially in travel, navigation, or maritime contexts.

So виден is very close to visible, but the natural English translation may vary depending on context.

Yes, it is a normal and common expression, especially in travel, shipping, and logistics.

It means:

• the port that is the intended destination
• the destination port

It is parallel to the very common phrase:

• пункт назначения = destination point / destination

So if you already know пункт назначения, then порт назначения follows the same pattern.

Sometimes you may hear видно in colloquial Russian, but it works differently.

• виден agrees with the noun: порт виден
• видно is often an impersonal predicative word, meaning something like it is visible / one can see

So:

• Порт назначения уже виден = the port is already visible
• Порт назначения уже видно = more colloquial, more like you can already see the port

For a learner, the safest and most standard form to use here is:

• Порт назначения уже виден.

People would say it, especially in contexts like:

• ships
• travel
• aviation
• navigation
• descriptive narration

It sounds a bit more situational than everyday small talk, simply because порт назначения is a specific expression. But grammatically and stylistically it is completely normal Russian.

A speaker might also say simpler versions in casual speech, such as:

• Порт уже виден.
• Уже видно порт.

But Порт назначения уже виден is natural and correct, especially when the destination needs to be specified.