The piecewise-parabolic method in curvilinear coordinates

view Abstract Citations (50) References (3) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The Piecewise-Parabolic Method in Curvilinear Coordinates Blondin, John M. ; Lufkin, Eric A. 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. Publication: The Astrophysical Journal Supplement Series Pub Date: October 1993 DOI: 10.1086/191834 Bibcode: 1993ApJS...88..589B Keywords: Finite Difference Theory; Interpolation; Spherical Coordinates; Advection; Polynomials; Singularity (Mathematics); NUMERICAL ANALYSIS; HYDRODYNAMICS; NUMERICAL METHODS full text sources ADS |