- Published 2013 in J. Comput. Physics

Developing stable and robust high-order finite difference schemes requires mathematical formalism and appropriate methods of analysis. In this work, nonlinear entropy stability is used to derive provably stable high-order finite difference methods with formal boundary closures for conservation laws. Particular emphasis is placed on the entropy stability of the compressible Navier-Stokes equations. A newly derived entropy stable weighted essentially non-oscillatory finite difference method is used to simulate problems with shocks and a conservative, entropy stable, narrowstencil finite difference approach is used to approximate viscous terms.

Citations per Year

Averaging **11 citations** per year over the last 3 years.

@article{Fisher2013HighorderES,
title={High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains},
author={Travis C. Fisher and Mark H. Carpenter},
journal={J. Comput. Physics},
year={2013},
volume={252},
pages={518-557}
}