Abstract. We propose and develop a functional minimization weak-formulation treatment of possibly complex applied input/output conditions which handles either convective, adiabatic, or prescribed temperature at the entrance or the exit of parallel convective exchangers. This formulation permits to re-cast realistic three-dimensional exchangers into a two-dimensional eigenvalue problem which is ...

Abstract. This paper discusses numerical simulation techniques using a moving mesh approach together with the multigrid fictitious boundary method (FBM) for liquid-solid flow configurations. The flow is computed by an ALE formulation with a multigrid finite element solver (FEATFLOW), and the solid particles are allowed to move freely through the computational mesh which can be adaptively aligne...

A 2D mathematical model of coupled heat and mass transfer describing oven roasting of meat was formulated from first principles. The current formulation of model equations incorporates the effect of shrinkage phenomena and water holding capacity. The model equations are based on conservation of mass and energy. The pressure driven transport of water in meat is expressed using Darcy’s equation. ...

We present a fully coupled three dimensional formulation based on arbitrary Lagrangian-Eulerian (ALE) approach with exact interface tracking for nonlinear fluid-structure interactions. This formulation is second order accurate in time and stable for very low mass ratios of O(10). The proposed formulation is an extension of the combined field with explicit interface (CFEI) presented in [1, 2] fo...

This paper provides an incremental layerwise finite element formulation for the viscoelastic analysis of multilayered pavements.  The constitutive behavior of asphalt concrete is represented by the Prony series. Layerwise finite element has been shown to provide an efficient and accurate tool for the numerical simulation of laminated structures. Most of the previous research on numerical simula...

Analysis of the stresses, displacements, and horizontal strains of the ground subsidence due to underground excavation in rocks can be accomplished by means of a hybridized higher order indirect boundary element/finite difference (BE/FD) formulation. A semi-infinite displacement discontinuity field is discretized (numerically) using the cubic displacement discontinuity elements (i.e. each highe...

Full-scale, 3D, time-dependent aerodynamics and fluid–structure interaction (FSI) simulations of a Darrieus-type vertical-axis wind turbine (VAWT) are presented. A structural model of the Windspire VAWT (Windspire energy, http://www.windspireenergy.com/) is developed, which makes use of the recently proposed rotation-free Kirchhoff–Love shell and beam/cable formulations. A moving-domain finite-...

In many coupled problems of practical interest the domain of at least one of the problems evolves in time. The Arbitrary Eulerian Lagrangian (ALE) approach is a tool very often employed to cope with this domain motion. However, in this work we aim at describing numerical techniques that allow us to use a fixed mesh for the approximation of moving boundary problems, particularly using the finite...