Accuracy of schemes for the Euler equations with non-uniform meshersThe effect of nonuniform grids on the solution of the Euler equations is analyzed. A Runge-Kutta type scheme is considered based on a finite volume formuation. It is shown that for arbitrary grids the scheme can be inconsistent even though it is second-order accurate for uniform grids. An improvement is suggested which leads to at least first-order accuracy for general grids. Test cases are pesented in both two- and three-space dimensions. Applications to finite difference and impicit algorithms are also given.
Document ID
19860035087
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Turkel, E. (NASA Langley Reserch Center Hampton, VA, United States)
Yaniv, S. (NASA Langley Research Center Hampton, VA, United States)
Landau, U. (Israel Aircraft Industries, Ltd. Tel Aviv, Israel)