DefinePK

Abstract

The convection-dominated problems, mainly due to their essentiality in nature, are found in numerous science and engineering applications. Such problems include those concerning the computational fluid dynamics issues of spurious oscillations in the numerical solutions. In this research, the importance of the relationship between the numerical solution stability and the unsteady scalar convection-dominated flow parameters is emphasized. A systematic technique in setting the parameters under consideration is applied. Specifically, we present the a priori formulation of criterion to avoid non-physicaloscillatory solutions. The criterion serves as a standard for a more efficient decision-making in the determination of the flow parameters, and in eliminating some heuristic aspects of the scalar concentration prediction. The test case results are consistent with the criterion.