Constructing space difference schemes which satisfy a cell entropy inequalityA numerical methodology for solving convection problems is presented, using finite difference schemes which satisfy the second law of thermodynamics on a cell-by-cell basis in addition to the usual conservation laws. It is shown that satisfaction of a cell entropy inequality is sufficient, in some cases, to guarantee nonlinear stability. Some details are given for several one-dimensional problems, including the quasi-one-dimensional Euler equations applied to flow in a nozzle.
Document ID
19900031268
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Merriam, Marshal L. (NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Subject Category
Fluid Mechanics And Heat Transfer
Meeting Information
Meeting: International Conference on Finite Element Methods in Flow Problems