Finite Volume Method Research Papers (original) (raw)

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- Engineering, Computational Fluid Dynamics, Finite Volume Methods, Modeling

In this work a methodology to automatically balance the flow in profile extrusion dies is used. For this purpose a computational code, based on the finite-volume method, was developed and used to perform the required threedimensional numerical simulations of the flow. The methodology is illustrated using two case studies, each one leading to the adoption of a different constructive solution (with and without flow separators). In order to evaluate the quality of the automatically generated die geometries, an objective function, that takes into account the flow balancing and the ratio L/t of the parallel zone, is proposed.

- by O. Carneiro
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- Numerical Simulation, Case Study, Design Tool, Finite Volume
- by M. Bristeau
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- Granular Flow, Multidisciplinary, Numerical Simulation, Reference Frame

Geoscience Australia, in an open collaboration with the Mathematical Sciences Institute, The Australian National University, is developing a software ap- plication, ANUGA, to model the hydrodynamics of floods, storm surges and tsunamis. The free source software implements a finite volume central- upwind Godunov method to solve the non-linear depth-averagedshallowwater waveequations. Inlight of the renewed interest in tsunami forecasting and mitigation,

- by John Jakeman
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- Indian Ocean, Data Collection, Natural hazard, Finite Volume
- by Christopher Zoppou
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- Civil Engineering, Risk assessment, Water Supply, Computer Model
- by Oronzio Manca
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- Engineering, Convection, Heat Transfer, System Design

Résumé/Abstract En utilisant la technique développée dans [7], nous donnons une estimation d'erreur, d'ordre 1/2 par rapport à la taille du maillage, pour une approximation volumes finis explicite en temps, pour la résolution... more

- by Jean Paul Vila
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- Convergence, Pure Mathematics, Symmetry, Discretization

- by Kuntinee Maneeratana
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- Simulation, Piecewise Linear, Phase Change, Heat Conduction

A numerical simulation has been carried out to investigate the buoyancy induced flow and heat transfer characteristics inside a wavy walled enclosure. The enclosure consists of two parallel wavy and two straight walls. The top and the bottom walls are wavy and kept isothermal. Two straight-vertical sidewalls are considered adiabatic. Governing equations are discretized using the control volume based Finite-Volume method with collocated variable arrangement. Simulation was carried out for a range of surface waviness ratios, =0.00-0.25; aspect ratios, A=0.25-0.5; and Rayleigh numbers Ra=100-107 for a fluid having Prandtl number equal to 1.0. Results are presented in the form of local and global Nusselt number distributions, streamlines, and isothermal lines for different values of surface waviness and aspect ratios. For a special case of =0 and A=1.0, the average Nusselt number distribution is compared with available reference. The results suggest that natural convection heat transfer is changed considerably when surface waviness changes and also depends on the aspect ratio of the domain. In addition to the heat transfer results, the heat transfer irreversibility (HTI) in terms of Bejan number (Be) was measured. For a set of selected values of the parameters (, A, and Ra), a contour of the Bejan number is presented at the end of this paper.

- by Prodip Das
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- Engineering, Heat Transfer, Numerical Simulation, Mathematical Sciences
- by Alberto d'Onofrio
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- Applied Mathematics, Finite element method, Numerical Method, Working Time

Sur l'exemple du problème de Dirichlet pour le système elliptique-parabolique doublement non-linéaire , nous montrons comment les techniques variationnelles peuvent être appliquées pour obtenir des résultats de convergence des solutions approchées construites par les méthodes de volumes finis.On the example of the Dirichlet problem for the doubly nonlinear elliptic-parabolic system , we show how variational techniques can be applied to obtain results of convergence of approximate solutions constructed by finite volume methods.

- by Boris Andreianov
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- Pure Mathematics, Finite Volume Method

A numerical investigation of the airside performance of a plain fin-and-tube heat exchanger having 4 row configurations has been presented in this study. Fluid flow is steady, incompressible and three dimensional. Laminar (400<Re H <1200) and transitional (1300<Re H <2000) flow conditions are considered for both in-line and staggered tube arrangements. For transitional flow calculations, the k-ω turbulence model is used. Uniform flow with constant velocity and temperature are considered at inlet and no-slip boundary condition and constant wall temperature is assumed at fin and tube surfaces. In this study the geometrical parameters such as fin pitches, longitudinal pitches and transverse pitches of tube spacing are studied. The results are compared with previous experimental data of Wang et al. [1]. Results are presented in the form of friction factor (f) and Colburn factor (j). For both laminar and transitional flow conditions heat transfer and friction factor decrease ...

- by Sadrul Islam
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- Mechanical Engineering, Applied Mathematics, Materials Science, Energy
- by Michael Breuer
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- Engineering, Large Eddy Simulation, Numerical Method, Mathematical Sciences

Non-invasive subsurface monitoring is growing in the last years. Techniques like ground-penetrating radar (GPR) and electrical resistivity tomography (ERT) can be useful in soil water content monitoring (eg, Vereecken et al., 2006). Some... more

- by Maurizio Previati
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- Ground Penetrating Radar, Dipole, Sandy soil, Mass Conservation
- by Emmanuel Ogedengbe
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- Finite Volume Method, Optical Homogenizer, Sustainability
- by Man Hoe Kim
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- Mechanical Engineering, Energy, Heat Transfer, Heat Exchanger
- by Lyes Khezzar and +1
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- Mechanical Engineering, Applied Mathematics, Heat Transfer, Natural Convection
- by Sutthisak Phongthanapanich
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- Finite Volume Method, HLLC Scheme, Triangular grid, Roe's FDS

The fluid-structure coupled simulation of the heart, though at its developing stage, has shown great prospect in heart function investigations and clinical applications. The purpose of this paper is to verify a commercial software based fluid-structure interaction scheme for the left ventricular filling. The scheme applies the finite volume method to discretize the arbitrary Lagrangian–Eulerian formulation of the Navier–Stokes equations for the fluid while using the nonlinear finite element method to model the structure. The coupling of the fluid and structure is implemented by combining the fluid and structure equations as a unified system and solving it simultaneously at every time step. The left ventricular filling flow in a three-dimensional ellipsoidal thin-wall model geometry of the human heart is simulated, based on a prescribed time-varying Young’s modulus. The coupling converges smoothly though the deformation is very large. The pressure–volume relation of the model ventricle, the spatial and temporal distributions of pressure, transient velocity vectors as well as vortex patterns are analyzed, and they agree qualitatively and quantitatively well with the existing data. This preliminary study has verified the feasibility of the scheme and shown the possibility to simulate the left ventricular flow in a more realistic way by adding a myocardial constitutive law into the model and using a more realistic heart geometry.

- by Torsten Schenkel and +1
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- Engineering, Finite element method, Software, Humans
- by Akhilesh Sahu
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- Engineering, Mathematical Sciences, Power Law, Physical sciences
- by William Perrie
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- Oceanography, Ocean modelling, Gulf of Maine, Wave propagation
- by Deganit Barak-shinar
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- Engineering, Humans, Physical sciences, Lung
- by Agnimitra Biswas
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- Computation Fluid Dynamics, Steady state, Wind Tunnel, Second Order
- by Pedro Coelho
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- Mechanical Engineering, Chemical Engineering, Heat Transfer, Fuel

This thesis investigates the technical problems associated with large-scale stand-alone wind powered desalination employing a short-term energy store, particularly the complexities associated with the intermittent operation of the desalination plant. To achieve this, a non-linear, time domain system model of an existing wind powered desalination plant has been developed using the propriety code Simulink. Two desalination techniques have been considered: reverse osmosis and electrodialysis, due firstly to their relatively low specific energy consumption, and secondly, their efficient coupling to a wind turbine generator. As a way of reducing power mismatch, optimising water production, and above all reducing the switching rates of the desalination units, operation of the reverse osmosis and electrodialysis units under variable power conditions is suggested. Little information is available on plant performance under such conditions. A mathematical model has therefore been developed to ascertain the performance of reverse osmosis and electrodialysis processes under transient power conditions. The model consists of the set of partial differential equations (PDEs) describing the conservation of mass, momentum and chemical species coupled with the appropriate boundary conditions. A numerical solution based on the finite volume method has been employed to solve for the system of PDEs, as no analytical solution is available for the particular set of model equations derived. Sensitivity of plant performance to key design parameters (such as operating pressure and energy storage capacity) and operational strategies is predicted from simulation results. This technology is economically attractive for islands where wind energy density is high and water resources are scarce.

- by Ahmed Ahmed
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- Applied Mathematics, Heat Transfer, Numerical Analysis, Finite Difference Method
- by salah mabrouk
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- Mechanical Engineering, Convection, Modeling, Heat and Mass Transfer
- by Selene Guelli Souza
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- Chemical Engineering, Kinetics, Numerical Simulation, Mathematical Model
- by Michael Breuer
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- Mechanical Engineering, Aerospace Engineering, Numerical Method, Laminar Flow
- by Denis Lemonnier
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- Numerical Simulation, Natural Convection, Laminar Flow, Heat Flux
- by Zeljko Tukovic
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- Kinetics, Continuum Mechanics, Kinematics and Dynamics, Mathematical Model
- by Marco Vilhena
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- Heat Transfer, Laplace Transform, Heat Flux, Numerical Integration
- by Michael Mera
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- Finite Volume Method
- by Marcos Gomes
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- Mechanical Engineering, Combustion, Natural Gas, Numerical Simulation
- by Hukam Mongia
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- Engineering, Fluid Mechanics, Modeling, Large Eddy Simulation
- by Olivier Adam
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- Thermal Science, Euler Lagrange Equation, Finite Volume Method

The finite volume method is used to describe unsteady forced convection and heat conduction in a meat plate during freezing. External fluid mechanics and internal solidification of water content in the meat are predicted from a mathematical model that includes continuity, Navier–Stokes and energy equations for air around the food and the heat diffusion equation inside the meat. Unsteady results are presented for both velocity vectors and temperature distributions in air, temperature variations in the food and for heat transfer coefficients. Experimental data for the temperature variation in time are used to assess the accuracy of the predicted values.

- by Enzo Medina
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- Engineering, Mechanical Engineering, Aerospace Engineering, Fluid Mechanics

Numerical simulations of two-dimensional laminar flow past a triangular cylinder placed in free-stream at low Reynolds number (10⩽Re⩽250) are performed. A finite volume method, second-order accurate in space and time, employing non-staggered arrangement of the variables with momentum interpolation for the pressure–velocity coupling is developed. Global mode analysis predicts Recr=39.9 which confirms the results of earlier studies. Vortex shedding phenomena is found to be similar to the square cylinder with no second bifurcation in the range of Re studied. A discussion on the time-averaged drag coefficient, rms of lift coefficient and Strouhal number is presented. Particle tracking and the instantaneous streaklines provide an excellent means of visualizing the von Kármán vortex street. Copyright © 2006 John Wiley & Sons, Ltd.

- by Amaresh Dalal
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- Engineering, Computational Fluid Dynamics, Finite Volume Methods, Mesh generation
- by Robert Eymard
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- Finite Volume Method