Project/scholarship details
- Project/scholarship ID
124734
- Reference
FCT-ANR/MAT-NAN/0122/2012
- FundRef URI
- Funder
FCT - Fundação para a Ciência e a Tecnologia, I.P.
- Funder's country
Portugal
- Funding program
3599-PPCDT
- Funding amount
72,460.00 €
- Start date
2013-03-01
- End date
2016-12-31
Documents
Second-order finite volume mood method for the shallow water with dry/wet inter...
Figueiredo, Jorge Manuel; Clain, StéphaneThe shallow water system is a fundamental work-piece for tsunami or flooding simulations. One of the major difficulties is the correct location of the dry/wet interface to evaluate accurate approximations of the velocity and kinetic energy. On the other hand, the MOOD method has been recently proposed to provide more efficient schemes in the framework of the Euler system. We propose to compare two second-order ...
6th-order finite volume approximation for the steady-state burger and euler equ...
Machado, Gaspar J.; Clain, Stéphane; Loubère, R.; Diot, S.We propose an innovative method based on the MOOD technology (Multi-dimensional Optimal Order Detection) to provide a 6th-order finite volume approximation for the one-dimensional steady-state Burger and Euler equations. The main ingredient consists in using an 'a posteriori' limiting strategy to eliminate non physical oscillations deriving from the Gibbs phenomenon while keeping a high accuracy for the smooth ...
An overview on the multidimensional optimal order detection method
Clain, Stéphane; Figueiredo, Jorge Manuel; Loubère, Raphael; Diot, StevenFinite volume method is the usual framework to deal with numerical approximations for hyperbolic systems such as Shallow-Water or Euler equations due to its natural built-in conservation property. Since the first-order method produces too much numerical diffusion, popular second-order techniques, based on the MUSCL methodology, have been widely developed in the ’80s to provide both accurate solutions and robust...
6th-order finite volume approximations for the Stokes equations with a curved b...
Costa, Ricardo Daniel Pereira; Clain, Stéphane; Machado, Gaspar J.A new solver for the Stokes equations based on the finite volume method is proposed using very accurate polynomial reconstruction to provide a 6th-order scheme. We face two main difficulties: the gradient-divergence duality where the divergence free condition will impose the pressure gradient, and on the other hand, we assume that the domain has a regular curved boundary. The last point implies that a simple ap...
Second-order finite volume with hydrostatic reconstruction for tsunami simulation
Clain, Stéphane; Reis, C.; Costa, R.; Figueiredo, Jorge Manuel; Baptista, M. A.; Miranda, J. M.Tsunami modeling commonly accepts the shallow water system as governing equations where the major difficulty is the correct treatment of the nonconservative term due to bathymetry variations. The finite volume method for solving the shallow water equations with such source terms has received great attention in the two last decades. The built-in conservation property, the capacity to correctly treat discontinuit...
A well-balanced scheme for the shallow-water equations with topography
Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, FrançoiseA non-negativity preserving and well-balanced scheme that exactly preserves all the smooth steady states of the shallow water system, including the moving ones, is proposed. In addition, the scheme must deal with vanishing water heights and transitions between wet and dry areas. A Godunov-type method is derived by using a relevant average of the source terms within the scheme, in order to enforce the required w...
High-accurate SPH method with Multidimensional Optimal Order Detection limiting
Nogueira, Xesús; Ramı́rez, Luis; Clain, Stéphane; Loubère, Raphaël; Cueto-Felgueroso, Luis; Colominas, IgnasiWe present a new high-accurate, stable and low-dissipative Smooth Particle Hydrodynamics (SPH) method based on Riemann solvers. The method derives from the SPH-ALE formulation first proposed by Vila and Ben Moussa. Moving Least Squares approximations are used for the reconstruction of the variables and the computation of Taylor expansions. The stability of the scheme is achieved by the a posteriori Multi-dimens...
A novel heat transfer coefficient identification methodology for the profile ex...
Marques, Pedro Filipe Lima; Clain, Stéphane; Machado, Gaspar J.; Martins, Bruno Diogo; Carneiro, O. S.; Nóbrega, J. M.A new method to compute heat transfer coefficients of the profile extrusion process calibration stage, in conjunction with a prototype calibration system (Carneiro et al., 2013), is proposed. The methodology involves two major ingredients: a numerical modeling code and a fitting procedure. The code, based on the Finite Volume Method, computes the steady-state solution for the heat transfer problem. The soft- wa...
3D modeling of electrostatic interaction between atomic force microscopy probe ...
Boularas, A.; Baudoin, F.; Teyssedre, G.; Villeneuve-Faure, C.; Clain, StéphaneTechniques derived from the near-field microscopies and particularly the Atomic Force Microscopy (AFM) are presented as alternative techniques for space charge measurement compared to classical techniques due to their high sensitivity to the electrostatic force and an improved spatial resolution (few nanometers). One of the AFM derivative methods, which allow obtaining information on the charge state of the die...
MUSCL vs MOOD techniques to solve the SWE in the framework of tsunami events
Reis, Cláudia; Figueiredo, Jorge Manuel; Clain, Stéphane; Omira, Rachid; Baptista, Maria Ana; Miranda, JorgeThe risk mitigation associated with tsunami events needs robust and accurate numerical tools to provide realistic solutions. We propose a comparative study between the efficiency of a finite volume numerical code, with second-order discretization in space and time, equipped with two different techniques to solve the non-conservative shallow-water equations: 1) the MUSCL (Monotonic Upstream-Centered Scheme for C...
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