In this paper, we focus on distributed simulation based on Local Time Warp deployed over several sites connected through an interconnection network (a loosely coupled domain). We propose and study a mechanism to tune elaboration according to varying communication performances, to reduce resource consumption and rollback costs that result from unpredictable network behavior. The mechanism is composed of two parts that operate in a completely distributed way: a local elaboration rate control and a message flow control. The experimental study is conducted through emulation to exert a control on injected delays. Our results show that the mechanism is able to globally tune the entire simulation, to reduce the escalation of allocated computational resources and the cost of rollbacks. As delays disappear, the mechanism allows elaboration to resume normal rate.