Short communication: Comments on a recent paper dealing with the finite‐analytic method

Abstract

Refers to Montgomery and Fleeter (1996) who employed the finite‐analytic method of Chen et al. (1980) to study steady, two‐dimensional, inviscid, compressible, subsonic flow in a nozzle. Shows that, contrary to the statement made by Montgomery and Fleeter, their boundary conditions at the computational cell’s boundaries are not constructed from the particular solution to their equation (10). Deduces from a simple non‐linear second‐order ordinary differential equation that the finite or locally analytic method of Chen et al. (1980) only yields continuous but not differentiable solutions. Suggests a finite‐analytic method which provides continuous and differentiable solutions.

Citation

Ramos, J.I. and García‐López, C.M. (1997), "Short communication: Comments on a recent paper dealing with the finite‐analytic method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 7 No. 8, pp. 794-800. https://doi.org/10.1108/09615539710192732