Experimental validation of a new semi‐implicit CE–SE scheme for the calculation of unsteady one‐dimensional flow in tapered ducts

Abstract

SUMMARYThis paper presents an improvement in the conservation element-solution element (CE-SE) scheme for calculating one-dimensional flow through tapered ducts. This new CE-SE scheme has been validated against experiments in tapered ducts with non-steady flow using pressure impulses. This validation analyses scheme's ability to reproduce instantaneous pressure in time and frequency domains, mass conservation when the section of the duct changes (which was the main drawback of the original CE-SE scheme) and finally computational time. In order to quantify the improvement of the scheme, the calculations have been compared with experimental data and with the results provided by other schemes, such as the original CE-SE or total variation diminishing schemes. This comparison shows important improvements in mass conservation in relation to the original CE-SE and not significant penalties in computational time.

Improved CE/SE scheme with particle level set method for numerical simulation of spall fracture due to high-velocity impact

“…The features mentioned above make the method substantially different from traditional well-established methods such as the finite difference and the finite volume methods. The CE/SE method has been generalized to high-order accuracy [27] and has reached a great success in the field of CFD [28][29][30][31][32][33][34]. Loh et al [28] tested the CE/SE scheme for several problems ranging from linear acoustic waves to strongly nonlinear phenomena, with special emphasis on mixing-layer instability, and obtained satisfying numerical results.…”