Abstract
AbstractThe purpose of this paper is to present a stabilizing finite element method using a new bubble element for the unsteady fluid flow expressed by the compressible Euler equations to save efficient computational memory for computers. The formulation is based on the mixed interpolation for a transient term. The main idea of the present paper is to use the mixed interpolation for the transient term with bubble function as the weighting function and with linear function as the interpolation function. The nodal values at the bubble node can be eliminated even in the transient formulation. The stabilizing effect of the bubble function is effectively used. The formulation leads to the stabilizing effect, which is efficient to the unsteady fluid flow problems. The efficiency is verified based on the numerical studies, in which a rotating cone problem, a shock tube problem and a problem of flow around an airfoil are calculated. Copyright © 2008 John Wiley & Sons, Ltd.
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