CIP/multi-moment finite volume method with arbitrary order of accuracy
Computational Physics
2012-07-31 v1 Atmospheric and Oceanic Physics
Fluid Dynamics
Geophysics
Abstract
This paper presents a general formulation of the CIP/multi-moment finite volume method (CIP/MM FVM) for arbitrary order of accuracy. Reconstruction up to arbitrary order can be built on single cell by adding extra derivative moments at the cell boundary. The volume integrated average (VIA) is updated via a flux-form finite volume formulation, whereas the point-based derivative moments are computed as local derivative Riemann problems by either direct interpolation or approximate Riemann solvers.
Keywords
Cite
@article{arxiv.1207.6822,
title = {CIP/multi-moment finite volume method with arbitrary order of accuracy},
author = {Feng Xiao and Satoshi Ii},
journal= {arXiv preprint arXiv:1207.6822},
year = {2012}
}