A numerical method for passive scalar and self-advection dynamics, Lagrangian rearrangement, is proposed. This fully Lagrangian advection algorithm introduces no artificial numerical dissipation or interpolation of parcel values. In the zero-viscosity limit, it preserves all of the Casimir invariants associated with parcel rearrangement. In the twodimensional case presented here, these invarian...

In this dissertation a moving mesh method finite element method is used to approximate moving boundary solutions to the shallow water equations. An Arbitrary Lagrangian Eulerian method is applied to an existing finite element scheme. Some exact solutions to the shallow water equations in a parabolic basin are shown for comparison. An investigation is conducted into the accuracy of the method. I...

In this paper, nanofluid heat transfer in a microchannel has been studied using homogenous and Buongiorno’s models, compared with Eulerian-Lagrangian model. The base fluid is water the particles are Al2O3 Cu diameter of 100nm. volume fraction up to 2% Reynolds number range 250-1000. governing equations including continuity, momentum energy, have solved control method (SIMPLE). results show that...

A new method for the computational analysis of fluid–structure interaction of a Newtonian fluid with slender bodies is developed. It combines ideas of the fictitious domain and the mortar element method by imposing continuity of the velocity field along an interface by means of Lagrange multipliers. The key advantage of the method is that it circumvents the need for complicated mesh movement st...

The transport of fluid, heat ,and particles (bubbles and solid inclusions) in flowing molten steel is investigated in steel refining ladles, the continuous casting tundish, continuous casting mold and strand, and steel ingot casting processes. The two-equation k-ε model is used to simulate the turbulence. Multiphase fluid flow is numerically simulated with a Lagrangian-Eulerian approach, an Eul...

Occupant health is related to particle contaminants in enclosed environments, so it is important to study particle transport in spaces to quantify the rates and routes of potential disease transmission. In many cases, particle contaminants in an enclosed space are generated from an unsteady source. This investigation used the experimental data from two steady-state cases as well as one transien...

This document presents an analysis of different load balance strategies for a Plasma physics code that models high energy particle beams with PIC method. A comparison of different load balancing algorithms is given: static or dynamic ones. Lagrangian and Eulerian partitioning techniques have been investigated.

In numerical simulations of fluid flow, the choice of the computational mesh is crucial. Traditionally, there have been two viewpoints, utilizing the Lagrangian or the Eulerian framework, each with its own advantages and disadvantages. In a pioneering paper [1], Hirt et al. developed the formalism for a mesh whose motion could be determined as an independent degree of freedom, and showed that t...

A Lagrangian-based level set method is proposed based on the transformation in the Unified Coordinates from CFD. The grids will move with the same speed as the linearly degenerated field. Excessive numerical dissipation for the external velocity flow in the original Eulerian approach can be eliminated, while addition or deletion of computational cells in the normal velocity motion is not necess...

offshore pipelines used for oil and gas transportation are often buried to avoid damage from fishing activities and to provide thermal insulation. thermal expansion and contraction of the pipeline during operation can lead to lateral or upheaval buckling. a safe buried pipeline design must take into account a reliable evaluation of soil uplift resistance and pipe embedment depth. while the cost...