Search results

The purpose of this paper is to highlight the possibilities of a novel Lagrangian formulation in dealing with the solution of the incompressible Navier‐Stokes equations with very large time steps.

The design of the paper is based on introducing the origin of this novel numerical method, originally inspired on the Particle Finite Element Method (PFEM), summarizing the previously published theory in its moving mesh version. Afterwards its extension to fixed mesh version is introduced, showing some details about the implementation.

The authors have found that even though this method was originally designed to deal with heterogeneous or free‐surface flows, it can be competitive with Eulerian alternatives, even in their range of optimal application in terms of accuracy, with an interesting robustness allowing to use large time steps in a stable way.

With this objective in mind, the authors have chosen a number of benchmark examples and have proved that the proposed algorithm provides results which compare favourably, both in terms of solution time and accuracy achieved, with alternative approaches, implemented in in‐house and commercial codes.

Over the years Latin American countries have had to endure harsh right wing dictatorships bent on preserving the status quo, while presumably “protecting” them from left wing totalitarianism until they became “ready” for democracy. In Argentina, a democratic civilian government became possible in 1983, after the collapse of the most ruthless military regime the country had known. And, on July 8th 1989, for the first time in sixty years, a democratically elected president succeeded another elected president from a different political party. I was in the country at the time and lived through the chaotic weeks that followed; I talked with people, read the papers and tried to decipher the new political discourse.