Schenn, slowed by injuries for most of the season, has started to get into a rhythm. He has points in three straight games. In addition, he led the Flyers with five hits on Thursday.
Simmonds (10 shots) made it 3-1 by scoring on a rebound while the Flyers were on a power play with 4 minutes, 41 seconds left. Claude Giroux added an empty-net goal with 1:05 to go, ending his 12-game goalless streak.
Nashville, which overcame a three-goal third-period deficit and scored a 5-4 win over Minnesota on Tuesday, had climbed to within 2-1 when Ryan Suter knocked in Craig Smith's crossing pass with 11:23 left.
Shortly after squandering a five-on-three power play that lasted 1:34, the Flyers took a two-goal lead.
Winger Matt Read, who could become the Flyers' first Calder Trophy winner (best rookie) in franchise history, poked the puck away from defenseman Kevin Klein at his own blue line, sped down the left side, and beat goalie Anders Lindback with a wrister from the left circle. It was Read's 16th goal, tops among NHL rookies, and it gave the Flyers a 2-0 lead with 5:28 left in the second period.
Lindback was the starter as standout Pekka Rinne was given a rare rest.
"I saw he was out of the crease and I just tried to surprise him and go five-hole," Read said.
Earlier, the Flyers benefited from a new line put together by coach Peter Laviolette: Schenn centering Simmonds and Zac Rinaldo. After taking a feed from Schenn, Simmonds scored on a turnaround shot from the right circle to give the Flyers a 1-0 lead with 4:19 remaining in the opening period.
"I just stepped to the middle and looked at the net," Simmonds said. "Reno [Rinaldo] had the goalie screened, so I just turned and tried to fire the puck and hoped it would go in. The goalie didn't see a thing. Reno did a great job."
The Flyers are trying to build momentum at home, where they have struggled for most of the season. They entered the night with only 11 wins in 22 home games (11-7-4).
"Not acceptable," Laviolette said before the game.
What was acceptable was the dominating second period in which the Flyers outshot Nashville, 11-4, and put a wall in front of goalie Ilya Bryzgalov.
Bryzgalov was sharp for the second straight game since the all-star break. He was in goal for Tuesday's 2-1 loss to Winnipeg, a game in which he stopped two of three shots in the shootout.
Contact staff writer Sam Carchidi at email@example.com or @BroadStBull on Twitter.