Nodal mesh-centered finite difference schemes

Journal Article · Sun Dec 31 04:00:00 EST 1995 · Transactions of the American Nuclear Society

OSTI ID:411639

Hennart, J P ^[1]; Valle, E del ^[2]

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1. National Autonomous Univ. of Mexico (Mexico)
2. National Polytechnic Institute (Mexico)

The classical five points mesh-centered finite difference scheme can be derived from a low-order nodal finite element scheme by using nonstandard quadrature formulas. In this paper, we show that higher order five blocks mesh-centered finite difference schemes can be derived from higher order nodal finite elements by an extension of the techniques used in the simpler case, combined with another well-known ingredient, namely, transverse integration. The resulting systems of algebraic equations keep the nice structure of finite difference systems; moreover, a very simple postprocessing operation allows construction of a fully piecewise continuous approximation defined at each point of a given cell. Numerical experiments with nonuniform meshes and different types of boundary conditions confirm the theoretical predictions, in discrete as well as continuous norms.

• OSTI ID: 411639
• Report Number(s): CONF-951006--
• Journal Information: Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 73; ISSN 0003-018X; ISSN TANSAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOUNDARY CONDITIONS
CALCULATION METHODS
FINITE DIFFERENCE METHOD
POLYNOMIALS
RADIATION TRANSPORT