The surface flows on a droplet in an oscillating pressure field are simulated numerically by solving the Navier-Stokes equations using the Arbitrary Lagrangian-Eulerian and level set coupled method. Detailed transient flow fields in and around the droplet are calculated by performing parallel computations, and the flow phenomena in a thin layer around the droplet surface are discussed. The reci...

The gradient-flow dynamics of an arbitrary geometric quantity is derived using a generalization of Darcy’s Law. We consider flows in both Lagrangian and Eulerian formulations. The Lagrangian formulation includes a dissipative modification of fluid mechanics. Eulerian equations for self-organization of scalars, 1-forms and 2-forms are shown to reduce to nonlocal characteristic equations. We iden...

A closed set of exact equations describing statistical theory of turbulent self-diffusion by multivariate-normal turbulent velocity field is derived. In doing so, we first suggest exact formulas for correlations 〈fi(p)fj(p ′)R[f ]〉, 〈g(p)R[f ]〉 and 〈g(p)fj(p ′)R[f ]〉 when the functional R[f ] is functional of functions fi’s having multivariate-normal distribution, g and fi’s have joint normal d...

one of the most important parts of power transmission in automotives is c.v. joint, which consists of four components where exterior bowl is one of them. due to its complexity, and importance in automobile and existence of high stresses, forging process is the only cost effective method of production. hence, the best method of production of this part is forging process. the exterior part of c.v...

We study the hp version of three families of Eulerian-Lagrangian mixed discontinuous finite element (MDFE) methods for the numerical solution of advectiondiffusion problems. These methods are based on a space-time mixed formulation of the advection-diffusion problems. In space, they use discontinuous finite elements, and in time they approximately follow the Lagrangian flow paths (i.e., the hyp...

This paper presents a complete derivation and implementation of the Arbitrary Lagrangian Eulerian (ALE) formulation for the simulation of nonlinear static and dynamic problems in solid mechanics. While most of the previous work done on ALE for dynamic applications was mainly based on operator split and explicit calculations, this work derives the quasi-static and dynamic ALE equations in its si...

Abstract-An Eulerian finite element formulation is presented for problems of large elastic-plastic flow. The method is based on Hill’s variational principle for incremental deformations, and is ideally suited to isotropically hardening Prandtl-Reuss materials. Further, the formulation is given in a manner which allows any conventions finite element program, for “small strain” elastic-plastic an...

This paper studies the convergence properties of an arbitrary Lagrangian–Eulerian (ALE) Riemann-based SPH algorithm in conjunction with a Weighted Essentially Non-Oscillatory (WENO) high-order spatial reconstruction, framework DualSPHysics open-source code. A analysis is carried out for Lagrangian and Eulerian simulations numerical results demonstrate that, absence particle disorder, overall sc...