Yaouchi arrived in the White Sand Desert after gaining passage from Karakura town. He left the Soul Society and his life as the leader of the Shinigami behind. It was a life and a job that only a few people get in a life time yet he threw it all away. He knew the most pressing thing that had to be done was to come here. To come to the Hueco Mundo.
Yaouchi began to run through the white sand. Trudging along through the White Sand and running towards Las Noches just as he had seen in his dream a while back. He never told anyone about the dream but he was sure that what was happening in his dream would effect the world and least the arrancar and Shinigami forever. So that was why Yaouchi came to the White Sand desert. Why he must do what he must do.
[sorry its short but I said what I needed to]