An Eulerian-Lagrangian approach for incompressible fluids: Local theory

An Eulerian-Lagrangian Approach for Incompressible Fluids: Local Theory

We study a formulation of the incompressible Euler equations in terms of the inverse Lagrangian map. In this formulation the equations become a first order advective nonlinear system of partial differential equations.

An Eulerian–Lagrangian approach for simulating explosions of energetic devices

An approach for the simulation of explosions of ‘‘energetic devices’’ is described. In this context, an energetic device is a metal container filled with a high explosive (HE). Examples include bombs, mines, rocket motors or containers used in storage and transport of HE material. Explosions may occur due to detonation or deflagration of the HE material, with initiation resulting from either me...

Local Poisson SPH For Viscous Incompressible Fluids

Enforcing fluid incompressibility is one of the time-consuming aspects in SPH. In this paper, we present a local Poisson SPH (LPSPH) method to solve incompressibility for particle based fluid simulation. Considering the pressure Poisson equation, we first convert it into an integral form, and then apply a discretization to convert the continuous integral equation to a discretized summation over...

An Eulerian-Lagrangian approach to the Navier-Stokes equations

We present a formulation of the incompressible viscous Navier-Stokes equation based on a generalization of the inviscid Weber formula, in terms of a diffusive “back-to-labels” map and a virtual velocity. We derive a generalization of the inviscid Cauchy formula and obtain certain bounds for the objects introduced.

0 An Eulerian - Lagrangian Approach to the Navier - Stokes equations