押(お)し寄(よ)せるto advance on, to close in, to march on, to descend on (the enemy), to move towards, to surge forward (crowd, wave of nostalgia, wave, etc.), to rush for (the door), to inundate, to overwhelm, to push aside

空港(くうこう)に歌手(かしゅ)のファンが大勢(おおぜい)押(お)し寄(よ)せた。

A large crowd of the singer's fans descended on the airport. {to advance on, to close in, to march on, to descend on (the enemy), to move towards, to surge forward (crowd, wave of nostalgia, wave, etc.), to rush for (the door), to inundate, to overwhelm, to push aside}

セール当日(とうじつ)、買(か)い物(もの)客(きゃく)が店(みせ)に押(お)し寄(よ)せました。

On the day of the sale, shoppers descended on the store. {to advance on, to close in, to march on, to descend on (the enemy), to move towards, to surge forward (crowd, wave of nostalgia, wave, etc.), to rush for (the door), to inundate, to overwhelm, to push aside}

子供(こども)：「大(おお)きな波(なみ)が押(お)し寄(よ)せているぞ！高台(たかだい)に逃(に)げろ！」

Child: "A big wave is surging forward! Run to higher ground!" {to advance on, to close in, to march on, to descend on (the enemy), to move towards, to surge forward (crowd, wave of nostalgia, wave, etc.), to rush for (the door), to inundate, to overwhelm, to push aside}

政治(せいじ)家(か)：「SPは群集(ぐんしゅう)が押(お)し寄(よ)せるのを阻止(そし)してくれるものと思(おも)っていた…。」

Politician: "I thought the security personnel would prevent the crowd from surging forward..." {to advance on, to close in, to march on, to descend on (the enemy), to move towards, to surge forward (crowd, wave of nostalgia, wave, etc.), to rush for (the door), to inundate, to overwhelm, to push aside}

海岸(かいがん)に押(お)し寄(よ)せる津波(つなみ)を高台(たかだい)から見(み)ている時(とき)に感(かん)じた恐怖(きょうふ)は言葉(ことば)にできません。

The fear I felt when watching the tsunami surge forward onto the shore from a high ground is beyond words. {to advance on, to close in, to march on, to descend on (the enemy), to move towards, to surge forward (crowd, wave of nostalgia, wave, etc.), to rush for (the door), to inundate, to overwhelm, to push aside}