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3篇 您的检索式:作者名="Ahusborde"
    题名 作者 年代 出处 被引量
1An iterative domain decomposition algorithm for the grad (div)operator显示文摘Ahusborde E Azalez M Deville M O 0,,2:1
2Numerical Assessment of a Class of High Order Stokes Spectrum Solver显示文摘It iswell known that the approximation of eigenvalues and associated eigenfunctions of a linear operator under constraint is a difficult problem.One of the difficulties is to propose methods of approximation which satisfy in a stable and accurate way the eigenvalues equations,the constraint one and the boundary conditions.Using any non-stable method leads to the presence of non-physical eigenvalues:a multiple zero one called spurious modes and non-zero one called pollution modes.One way to eliminate these two families is to favor the constraint equations by satisfying it exactly and to verify the equations of the eigenvalues equations in weak ways.To illustrate our contribution in this field we consider in this paper the case of Stokes operator.We describe several methods that produce the correct number of eigenvalues.We numerically prove how these methods are adequate to correctly solve the 2D Stokes eigenvalue problem.Etienne Ahusborde Mejdi Azaiez Ralf Gruber 2018Journal of Mathematical Study2018,51,1:0
3Numerical Modeling and Simulation of Fully Coupled Processes of Reactive Multiphase Flow in Porous Media显示文摘In this paper,we consider a finite volume approach for modelling multiphase flow coupled to geochemistry in porous media.Reactive multiphase flows are modelled by a highly nonlinear system of degenerate partial differential equations coupled with algebraic and ordinary differential equations.We propose a fully implicit scheme using a direct substitution approach(DSA)implemented in the framework of the parallel open-source platform DuMuX.We focus on the particular case where porosity changes due to mineral dissolution/precipitation are taken into account.This alteration of the porosity can have significant effects on the permeability and the tortuosity.The accuracy and effectiveness of the implementation of permeability/porosity and tortuosity/porosity relationships related to mineral dissolution/precipitation for single-phase and two-phase flows are demonstrated through numerical simulations.Etienne Ahusborde Brahim Amaziane Mustapha El Ossmani Mohamed Id Moulay 2019Journal of Mathematical Study2019,52,4:0
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