Recent advances in the particle finite element method. towards more complex fluid flow applications

NORBERTO M. NIGRO; JUAN M. GIMENEZ; PABLO NOVARA; PEDRO MORIN; MARTA BERGALLO; SERGIO R. IDELSOHN

Ibiza

Congreso; V International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2013.; 2013

formulations is the restricted stability of the solution with the time steps and with the spatial discretization. For the case of the Navier-Stoke equations, it is well known that the time step to be used in the solution is stable only for time step smaller than two critical values: the Courant-Friedrichs-Lewy (CFL) number and the Fourier number. The first one is concerning with the convective terms and the second one with the diffusive ones. Both numbers must be less than one to have stable algorithms. For convection dominant problems like high Reynolds number flows, the condition CFL