نتایج جستجو برای: cell centered finite volume method

تعداد نتایج: 3619235  

Journal: :International Journal for Numerical Methods in Engineering 2014

2014
Pascal Jacq Pierre-Henri Maire Rémi Abgrall

We present a finite volume based cell-centered method for solving diffusion equations on three-dimensional unstructured grids with general tensor conduction. Our main motivation concerns the numerical simulation of the coupling between fluid flows and heat transfers. The corresponding numerical scheme is characterized by cell-centered unknowns and a local stencil. Namely, the scheme results in ...

2013
Pascal Jacq Pierre-Henri Maire Rémi Abgrall

We present a finite volume based cell-centered method for solving diffusion equations on three-dimensional unstructured grids with general tensor conduction. Our main motivation concerns the numerical simulation of the coupling between fluid flows and heat transfers. The corresponding numerical scheme is characterized by cell-centered unknowns and a local stencil. Namely, the scheme results in ...

Journal: :Journal of the Society of Naval Architects of Japan 1990

2010
M. Atounti

Abstract The topic of this work is the discretization of stationary incompressible Navier-Stokes equations in two dimensions by the cell centered finite volume method. The main results of this work are the existence and the uniqueness of the finite volume discrete problem and the convergence of the velocity in the L2 norm and the discrete norm. Our techniques are based on the construction of a ...

Journal: :J. Computational Applied Mathematics 2011
Prince Chidyagwai Ilya Mishev Béatrice Rivière

The coupling of cell-centered finite volume method with primal discontinuous Galerkin method is introduced in this paper for elliptic problems. Convergence of the method with respect to the mesh size is proved. Numerical examples confirm the theoretical rates of convergence. Advantages of the coupled scheme are shown for problems with discontinuous coefficients or anisotropic diffusion matrix.

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