NASA NTRS · 19900031268
Constructing space difference schemes which satisfy a cell entropy inequality
Abstract
A 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.
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Merriam, Marshal L.. 1989-01-01. Constructing space difference schemes which satisfy a cell entropy inequality. https://ntrs.nasa.gov/citations/19900031268
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