S. Tang LTCS, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China fluid–structure boundaries, the arbitrary Lagrangian Eulerian 26 (ALE) techniques (see [9,11,15,16,18,33,34]) and space27 time methods (see [28,29]) are typically used. Recently, such 28 approaches have also been adopted by [8] in the modeling of 29 fluid–particle (rigid) systems. Nevertheles...

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...

1 Correspondence to G.M. Lingaraju, e-mail: [email protected] Summary This paper discusses real time visualisation of free surface flows that are modelled using an Arbitrary Lagrangian Eulerian (ALE) approach. To integrate the dynamic simulation with the visualization, a comprehensive yet extensible Graphical User Interface (GUI) is used. The visualization technique employed is demonstrated on ...

We study the numerical approximation of a flow problem governed by a viscoelastic model coupled with a one-dimensional elastic structure equation. A variational formulation for flow equations is developed based on the Arbitrary Lagrangian-Eulerian (ALE) method and stability of the time discretized system is investigated. For decoupled numerical algorithms we consider both an explicit scheme of ...

An accurate conservative interpolation (remapping) algorithm is an essential component of most Arbitrary Lagrangian–Eulerian (ALE) methods. In this paper, we describe an efficient linearity and bound preserving method for polyhedral meshes. The algorithm is based on reconstruction, approximate integration and conservative redistribution. We validate our method with a suite of numerical examples...

We propose a finite volume scheme for computing two-fluid flows in variable cross-section ducts. Our scheme satisfies a well-balanced property. It is based on the VFRoe approach. The VFRoe variables are the Riemann invariants of the stationnary wave and the cross-section. In order to avoid spurious pressure oscillations, the well-balanced approach is coupled with an ALE (Arbitrary Lagrangian Eu...

The rezoning step is an important part of the Arbitrary Lagrangian-Eulerian (ALE) simulation cycle. The objective of the rezoning algorithm is to improve geometric quality of the mesh elements by minimalistic repositioning of the mesh nodes. By means of numerical experiment we show that the Reference Jacobian rezoning effectively eliminates ill-shaped elements of 3D polyhedral grid while keepin...

This paper presents simulation of cutting process by turning of polyamide PA 66, the simulation based on approach Arbitrary Lagrangian Eulerian, ALE. Was taken into account a tool knife CNMA from Coromant. The flow stress of the workpiece is modeled as function of strain, strain rate and temperature, so as to reflect its dynamic changes in physical properties. In this way, the influences of dep...

The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and incompressibility of the fluid-structure system. The original immersed boundary methods described immersed elastic structures using systems of flexible fibers, and eve...