Author(s)

Feng Ruan & Dennis McLaughlin

Abstract

In this paper we illustrate how third order taut spline interpolation can be used with the Eulerian-Lagrangian method to solve convection dominated transport problems. The spatial interpolator is implemented in a local form which reduces the computational effort required in two or three dimensional spaces. Visual accuracy assessments are used to compare solutions obtained with linear and cubic-spline interpolations. This comparison suggests that numerical accuracy depends on the interpolator's ability to resolve sharp concentration fronts at the grid scale. We observe that solutions obtained from the taut spline interpolator are less likely to exhibit artificial oscill

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