The accuracy of cell vertex finite volume methods on quadrilateral meshes

Journal Article · Thu Oct 01 04:00:00 EDT 1992 · Mathematics of Computation; (United States)

DOI:https://doi.org/10.2307/2153062· OSTI ID:6701472

Sueli, E

For linear first-order hyperbolic equations in two dimensions we restate the cell vertex finite volume scheme as a finite element method. On structured meshes consisting of distorted quadrilaterals, the global error is shown to be of second order in various mesh-dependent norms, provided that the quadrilaterals are close to parallelograms in the sense that the distance between the midpoints of the diagonals is of the same order as the measure of the guadrilateral. On tensor product nonuniform meshes, the cell vertex scheme coincides with the familiar box scheme. In this case, second-order accuracy is shown without any additional assumption on the regularity of the mesh, which explains the insensitivity of the cell vertex scheme to mesh stretching in the coordinate directions, observed in practice. 17 refs.

• OSTI ID: 6701472
• Journal Information: Mathematics of Computation; (United States), Journal Name: Mathematics of Computation; (United States) Vol. 59:200; ISSN 0025-5718; ISSN MCMPAF
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
EVALUATION
FINITE ELEMENT METHOD
FLUID FLOW
MATHEMATICAL MODELS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
TWO-DIMENSIONAL CALCULATIONS