NASA NTRS · 19940033880
The piecewise-parabolic method in curvilinear coordinates
Abstract
We derive interpolation formulae for a third-order finite difference method in curvilinear, orthogonal coordinate systems. These formulae serve as a supplement to Colella and Woodward's PPM scheme for problems where the coordinate origin is included in the computational domain. Numerical examples of the improved accuracy of the advection scheme near coordinate singularities are shown.
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Blondin, John M., Lufkin, Eric A.. 1993-10-01. The piecewise-parabolic method in curvilinear coordinates. https://ntrs.nasa.gov/citations/19940033880
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