High-Order Finite-Volume Methods on Locally-Structured Grids

Details High-Order Finite-Volume Methods on Locally-Structured Grids High-Order Finite-Volume Methods on Locally-Structured Grids

Apr 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aspc..406..207c&link_type=abstract

Numerical Modeling of Space Plasma Flows: ASTRONUM-2008 ASP Conference Series, Vol. 406, proceedings of the conference held 8-13

Astronomy and Astrophysics

Astronomy

2

Scientific paper

We describe recent developments in high-order (greater than second-order) accurate finite-volume discretizations of partial differential equations (PDE) in divergence form. We will address a number of algorithmic issues that arise in these methods, including the choice of limiters for hyperbolic problems that preserve high-order accuracy; defining quadrature rules for fluxes on mapped grids that are freestream-preserving; and high-order interpolation of ghost cell values at block or refinement boundaries.

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