Large time-step explicit integration method for solving problems with dominant convection

IDELSOHN, SERGIO; NIGRO NORBERTO; LIMACHE ALEJANDRO; OÑATE EUGENIO

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

ELSEVIER SCIENCE SA

Lugar: Amsterdam; Año: 2012 vol. 217 p. 168 - 185

0045-7825

An explicit time integrator without the CFL < 1 restriction for the momentum equation is presented. This allows stable large time-steps in problems dominated by convection, independently of the spatial discretization. The idea is to use the information existing at time t=tn in the velocity streamlines as well as in the acceleration streamlines to update the particle position as well as the velocity in an updated Lagrangian frame. The method may be used with moving or fixed meshes.