We present the piecewise parabolic method, a higher-order extension of Godunov's method. There are several new features of this method which distinguish it from other higher-order Godunov-type methods. We use a higher-order spatial interpolation than previously used, which allows for a steeper representation of discontinuities, particularly contact discontinuities. We introduce a simpler and more robust algorithm for calculating the nonlinear wave interactions used to compute fluxes. Finally, we recognize the need for additional dissipation in any higher-order Godunov method of this type, and introduce it in such a way so as not to degrade the quality of the results. © 1984.
CITATION STYLE
Colella, P., & Woodward, P. R. (1984). The Piecewise Parabolic Method (PPM) for gas-dynamical simulations. Journal of Computational Physics. https://doi.org/10.1016/0021-9991(84)90143-8
Mendeley helps you to discover research relevant for your work.