This review article aims to provide a comprehensive and understandable account of the theoretical foundation, modeling issues, and numerical implementation of the Lagrangian–Eulerian (LE) approach for multiphase flows. The LE approach is based on a statistical description of the dispersed phase in terms of a stochastic point process that is coupled with an Eulerian statistical representation of...

In this paper we consider the solution of hyperbolic conservation laws on moving meshes by means of an Arbitrary Lagrangian Eulerian (ALE) formulation. In particular we propose an ALE framework for the genuinely explicit residual distribution schemes of (Ricchiuto and Abgrall J.Comput.Phys 229, 2010). The discretizations obtained are thoroughly tested on a large number of benchmarks Key-words: ...

The purpose of this paper is to ascertain the cost-eeectiveness of semi-Lagrangian advection schemes for a wide variety of geophysical ows at all scales. Our approach is rst, to determine the minimum computational overhead associated with these schemes and then, to examine temporal variability in the Lagrangian and Eulerian frames by employing simple turbulent cascade phenomenologies. The goal ...

In this work, brownout simulations using both Lagrangian and Eulerian frames of reference are presented. The work compares results between these two methods with experimental results. numerical models used for the carrier dispersed phases presented along obtained Then, follows a description performed clouds around aircraft at different flight configurations. Different configurations involve sev...

The immersed boundary (IB) method is a framework for modeling systems in which an elastic structure is immersed in a viscous incompressible fluid. The IB formulation of such problems describes the elasticity of the structure in Lagrangian form and describes the momentum, viscosity, and incompressibility of the fluid-structure system in Eulerian form. Interactions between Lagrangian and Eulerian...

This paper deals with the implementation of an efficient Arbitrary Lagrangian Eulerian (ALE) formulation for the three dimensional finite element modeling of mode I self-similar dynamic fracture process. Contrary to the remeshing technique, the presented algorithm can continuously advance the crack with the one mesh topology. The uncoupled approach is employed to treat the equations. So, each t...

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