Abstract
There are two stages in the first-order Godunov-type schemes to update flow variables: the gas evolution stage for the numerical fluxes across a cell interface and the projection stage for the reconstruction of constant state inside each cell. Ideally, the evolution stage should be based on the exact Euler solution, the so-called Riemann solver. In this paper, we will show that some anomalous phenomena, such as postshock oscillations, density fluctuation in the 2D shear wave, and pressure wiggles at material interface in multicomponent flow calculations, are generated by dynamical effects in the projection stage. Based on a physical model, we are going to analyze qualitatively the averaging mechanism and compare our theoretical analysis with numerical observations.
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