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Showing 1 to 11 of 11 for “"mixed finite element method"”.
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Continuum Sensitivity Analysis for Shape Optimization in Incompressible Flow Problems
… thesis to develop and apply understanding of mixed finite element method and sensitivity analysis in a way that sets the foundation for shape optimization. The open-source Incompressible Flow Iterative Solution Software (IFISS) mixed finite element method toolbox for MATLAB developed by …
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Mixed finite element analysis for arbitrarily curved beams
A convergence of a mixed finite element method for three-dimensional curved beams with arbitary geometry is investigated. First, the governing equations are derived for linear elastic curved beams with uniformly loaded based on the Timoshenko-Reissner-Mindlin hypotheses. Then, standard and mixed …
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Numerical Simulations of Viscoelastic Flows Using the Discontinuous Galerkin Method
In this work, we develop a method for solving viscoelastic fluid flows using the Navier-Stokes equations coupled with the Oldroyd-B model. We solve the Navier-Stokes equations in skew-symmetric form using the mixed finite element method, and we solve the Oldroyd-B model using the discontinuous …
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A locally conservative variational multiscale method for the simulation of porous media flow with multiscale source terms
… may be different at different scales. Numerical methods should therefore reflect the multiscale character of the solution. We concentrate on the development of simulation techniques that account for the heterogeneity present in realistic reservoirs, and have the ability to solve for coupled …
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Multiscale simulation of viscoelastic flows : applications to kinetic theory models of polymer melts and liquid crystalline polymers
… complex flow simulations so far make use of a mixed finite element method to calculate the velocity field, with stress tensor evaluated by using a stochastic simulation method. This so-called CONNFFESSIT approach suffers from both a large memory requirement and stochastic noise. This thesis …
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Numerical Modeling and Simulation of Mineral Dissolution in Fractured Carbonate Formations
… the Stokes-Brinkman equation is solved by a mixed finite element method for the 2-D flow and solved by a staggered grid finite difference method for the 3-D flow. The reactive transport equations are solved by an implicit control volume finite difference method. Numerical validation and …
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Reduced-order modeling for ensemble real-time estimation and control
… of the governing equations discretized by the mixed finite element method and the upwind finite difference method. As a result, the reduced-order model can incorporate state and parameter changes explicitly and thus it is possible to perform dimension reduction in both state and parameter …
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Simulation of viscous fingering during miscible displacement in nonuniform porous media
… permeability fields, generated by a statistical method, so that they have a given coefficient of permeability variation and a given correlation length. The concentration equation is solved by an implicit finite element modified method of characteristics, which performs backward characteristic …
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Efficient algorithms for flow models coupled with geomechanics for porous media applications
… conformal Galerkin is used for mechanics, and a mixed formulation, including the Multipoint Flux Mixed Finite Element method as a special case, is used for the flow model. For fractured poro-elastic media, our iteratively coupled schemes are adaptations, due to the presence of fractures, of the …