Abstract

The space–time conservation element–solution element (CE/SE) method is extended to two-dimensional viscous flow problems. The formulation is presented and discussed. The extended CE/SE method is applied to several 2D viscous flow problems, such as boundary layer flow, entrance of channel flow, backward facing step flow and cavity flow. The numerical results and their comparison with analytical result and experimental data are presented. The capability of this method for predicting viscous flow feature and heat transfer is demonstrated. Also the capability of the method to solve both high-speed flows and low-Mach number flows is demonstrated.

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