-irregular Element Tessellation in Mixed Element Meshes for the Control Volume Discretization Method

نویسنده

  • Nancy Hitschfeld
چکیده

This paper presents an algorithm to compute the minimal tessellation of 1-irregular elements such as cuboids, rectangular prisms and pyramids. The minimal tessellation is the one that contains the minimum number of terminal elements. Terminal elements are the elements that compose the nal mesh. The complete mesh fulllls the Delaunay condition and is adequate for the control volume discretization method (Box-method). An 1-irregular element is the one that contains at most one additional vertex (Steiner point) on each element edge. Since these additional vertices can be located in any position on the respective edge, it is not possible to use the known strategies for the tessellation of elements whose edges are bisected.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

VARIATIONAL DISCRETIZATION AND MIXED METHODS FOR SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS WITH INTEGRAL CONSTRAINT

The aim of this work is to investigate the variational discretization and mixed finite element methods for optimal control problem governed by semi linear parabolic equations with integral constraint. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is not discreted. Optimal error estimates in L2 are established for the state...

متن کامل

A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods

We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids. We prove that the Mimetic Finite Difference scheme, the Hybrid Finite Volume scheme and the Mixed Finite Volume scheme are in fact identical up to some slight generalizations. As a consequence, some of the mathematical results obtained for each ...

متن کامل

Relationships among some locally conservative discretization methods which handle discontinuous coefficients

This paper presents the relationships between some numerical methods suitable for a heterogeneous elliptic equation with application to reservoir simulation. The methods discussed are the classical mixed finite element method (MFEM), the control-volume mixed finite element method (CVMFEM), the support operators method (SOM), the enhanced cell-centered finite difference method (ECCFDM), and the ...

متن کامل

Control-volume Mixed Finite Element Methods

A key ingredient in simulation of ow in porous media is accurate determination of the velocities that drive the ow. Large-scale irregularities of the geology (faults, fractures, and layers) suggest the use of irregular grids in simulation. This paper presents a control-volume mixed nite element method that provides a simple, systematic, easily implemented procedure for obtaining accurate veloci...

متن کامل

Comparison of different 2 order formulations for the solution of the 2D groundwater flow problem over irregular triangular meshes

Mixed and Mixed Hybrid Finite Elements (MHFE) methods have been widely used in the last decade for simulation of groundwater flow problem, petroleum reservoir problems, potential flow problems, etc. The main advantage of these methods is that, unlike the classical Galerkin approach, they guarantee local and global mass balance, as well the flux continuity between inter-element sides. The simple...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007