Godunov Mixed Methods on triangular grids has been shown to be an effective tool for the solution of the 2D advection-dispersion equation through a time-splitting technique. In this paper we develop the extension of this techique to three dimensions employing tetrahedral elements and a fully 3D limiter. Particular attention is devoted to the choice of a truly 3D limiter for the advection equation that preserves second order accuracy in space. To this aim, several generalizations of two dimensional FV schemes are presented and their behavior in three dimensions analyzed. The numerical characteristics of the proposed method are discussed using simple numerical test problems.
Extension of Second Order Godunov Mixed Methods fromtriangles to tetrahedra
MAZZIA, ANNAMARIA;PUTTI, MARIO
2002
Abstract
Godunov Mixed Methods on triangular grids has been shown to be an effective tool for the solution of the 2D advection-dispersion equation through a time-splitting technique. In this paper we develop the extension of this techique to three dimensions employing tetrahedral elements and a fully 3D limiter. Particular attention is devoted to the choice of a truly 3D limiter for the advection equation that preserves second order accuracy in space. To this aim, several generalizations of two dimensional FV schemes are presented and their behavior in three dimensions analyzed. The numerical characteristics of the proposed method are discussed using simple numerical test problems.Pubblicazioni consigliate
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