Project/scholarship details
- Project/scholarship ID
121185
- Reference
PTDC/MAT/121185/2010
- FundRef URI
- Funder
FCT - Fundação para a Ciência e a Tecnologia, I.P.
- Funder's country
Portugal
- Funding program
5876-PPCDTI
- Funding amount
70,000.00 €
- Start date
2012-04-02
- End date
2015-08-01
Documents
A new very high-order finite volume method for the 2D convection diffusion prob...
Clain, Stéphane; Machado, Gaspar J.; Pereira, Rui M. S.We present a new finite volume scheme based on the Polynomial Reconstruction Operator (PRO-scheme) for the linear convection diffusion problem with structured and unstructured meshes. We first design the numerical scheme for generic two-dimensional cells and introduce two kinds of polynomial reconstructions. Numerical experiences are carried out to prove the stability and the effectiveness of the method where a...
A new finite volume scheme for incompressible fluid flow
Marques, Filipe; Clain, Stéphane; Pereira, Rui M. S.The 2D Stokes problem for incompressible fluid involves condition ∇.U = 0 augmented with the constraint that the pressure average over domain is fixed to guar- antee the uniqueness of the solution. We propose a new mathematical formulation for the Stokes problem and a new finite volume scheme where we guarantee both incompressibility and the null mean pressure con- straint in the same equation.; This research w...
Very high-order time scheme for the finite volume method
Clain, Stéphane; Machado, Gaspar J.We present a new class of very-high-order finite volume schemes for the time dependent convection-diffusion problem providing a sixth-order accuracy both in space and time. The method is based on local polynomial reconstructions dedicated to the convective or the diffusive part of the operator where the Dirichlet boundary condition is explicitly integrated in the polynomial reconstruction. The study focus on th...
Bending of a beam with finite volume schemes
Costa, Ricardo Daniel Pereira da; Clain, Stéphane; Machado, Gaspar J.The paper is dedicated to a new very high-order finite volume method based on polynomial reconstruction operators to solve the one-dimensional problem of beams subjected to a combination of tensile and bending forces. The model involves the classical linear elasticity model coupled with a shell model for the bending. The proceeding is ended with the application of very high-order scheme where an intramedullary ...
Finite volume scheme based on cell-vertex reconstructions for anisotropic diffu...
Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.We propose a new second-order finite volume scheme for non-homogeneous and anisotropic diffusion problems based on cell to vertex reconstructions involving minimization of functionals to provide the coefficients of the cell to vertex mapping. The method handles complex situations such as large preconditioning number diffusion matrices and very distorted meshes. Numerical examples are provided to show the effect...
New cell-vertex reconstruction for finite volume scheme : application to the co...
Costa, Ricardo Daniel Pereira; Clain, Stéphane; Machado, Gaspar J.The design of efficient, simple, and easy to code, second-order finite volume methods is an important challenge to solve practical problems in physics and in engineering where complex and very accurate techniques are not required. We propose an extension of the original Frink's approach based on a cell-to-vertex interpolation to compute vertex values with neighbor cell values. We also design a specific scheme w...
A very high-order finite volume method for the time-dependent convection-diffus...
Clain, Stéphane; Machado, Gaspar J.The time discretization of a very high-order finite volume method may give rise to new numerical difficulties resulting into accuracy degradations. Indeed, for the simple one-dimensional unstationary convection-diffusion equation for instance, a conflicting situation between the source term time discretization and the boundary conditions may arise when using the standard Runge-Kutta method. We propose an altern...
Numerical and experimental investigations of three-dimensional container fillin...
Tomé, M. F.; Castelo, A.; Nóbrega, J. M.; Carneiro, O. S.; Paulo, G. S.; Pereira, F. T.This work employs numerical and experimental approaches to investigate three-dimensional container filling with Newtonian viscous fluids. For this purpose, a computer code developed for simulating three-dimensional free surface flows has been used. The CFD Freeflow3D code was specifically designed to deal with unsteady three-dimensional flows possessing multiple moving free surfaces. An experimental apparatus t...
Weld lines in extrusion: Understanding the role of the flow conditions
Carneiro, O. S.; Ferrás, Luís Jorge Lima; Teixeira, Paulo Francisco; Fernandes, Célio Bruno Pinto; Nóbrega, J. M.This work reports the implemen tation and verification of a new so lver in OpenFOAM® open source computational library, able to cope w ith integral viscoelastic models based on the integral upper-convected Maxwell model. The code is verified through the comparison of its predictions with anal ytical solutions and numerical results obtained with the differential upper-convected Maxwell model; CAPES, FCT projects...
Implementation of integral viscoelastic constitutive models in OpenFOAM® comput...
Araújo, M. S.; Fernandes, Célio Bruno Pinto; Ferrás, Luís Jorge Lima; Tukovic, Z.; Jasak, H.; Nóbrega, J. M.This work reports the implementation and verification of a new so lver in OpenFOAM® open source computational library, able to cope with integral viscoelastic models based on the integral upper-convected Maxwell model. The code is verified through the comparison of its predictions with analytical solutions and numerical results obtained with the differential upper-convected Maxwell model; CAPES, FCT projects PE...
Report
Embed
<script type="text/javascript">
<!--
document.write('<div id="rcaap-widget"></div>');
document.write('<script type="text/javascript" src="https://www.rcaap.pt/snippet?resource=documents&project=FCT%2F5876-PPCDTI%2F121185&fields=id,titles,creators,issueDate,link,descriptions"></script>');
-->
</script>