High-Order Entropy Stable Finite Difference Schemes for Nonlinear Conservation Laws: Finite Domains

By National Aeronautics and Space Administration

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, narrow-stencil finite difference approach is used to approximate viscous terms. Fisher, Travis C. and Carpenter, Mark H. Langley Research Center NASA/TM-2013-217971, L-20223, NF16767L-15999 FINITE DIFFERENCE THEORY; NAVIER-STOKES EQUATION; ENTROPY; STABILITY; NONLINEARITY; BOUNDARIES; CLOSURES; CONSERVATION LAWS; FORMALISM; DOMAINS

• Format: Paperback
• Language: English
• ISBN: B08FP7NGZ2
• ISBN13: 9798674400547
• Release Date: January 1
• Publisher: Independently Published
• Length: 64 Pages
• Weight: 0.38 lbs.
• Dimensions: 0.1" x 8.5" x 11.0"