Purpose: 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. Design/meth ...

An efficient self-adaptive strategy for the explicit time integration of Navier-Stokes equations is presented. Unlike the conventional explicit integration schemes, it is not based on a standard CFL condition. Instead, the ...

A new implicit stabilized formulation for the numerical solution of the compressible Navier-Stokes equations is presented. The method is based on the finite calculus (FIC) scheme using the Galerkin finite element method ...

In this paper, we propose and analyze the stability and the dissipative structure of a new dynamic term-by-term stabilized finite element formulation for the Navier–Stokes problem that can be viewed as a variational ...

El presente estudio tiene como objetivo el aprendizaje de las bases del estudio por métodos numéricos de las ecuaciones que gobiernan los procesos clásicos de la mecánica de fluidos y su aplicación en el desarrollo de ...

We discuss in this paper some implementation aspects of a finite element formulation for the incompressible Navier-Stokes equations which allows the use of equal order velocity-pressure interpolations. The method consists ...

In this work, we consider unfitted finite element methods for the numerical approximation of the Stokes problem. It is well-known that these kinds of methods lead to arbitrarily ill-conditioned systems and poorly approximated ...

Simulation of fluid flows of multi-materials is an intriguing topic in computational mechanics. Capturing the physics of the interface between different materials poses a challenge because of the discontinuities that may ...

This article investigates an explicit a-posteriori error estimator for the finite element approximation of the compressible Navier–Stokes equations. The proposed methodology employs the Variational Multi-Scale framework, ...