High-resolution strategy for localized method of approximate particular solutions to solve unsteady Navier-Stokes problems

In this paper, a high resolution strategy for the localized method of approximate particular solutions (LMAPS) is proposed. In order to avoid solving large and ill-conditioned equations, in the original LMAPS, low-order linear equations are solved by choosing the support region containing five nearest points. In order to improve the accuracy and stability of numerical calculation, for the LMAPS, a high-resolution strategy with limiters is proposed by choosing upwind interpolation templates. Numerical results demonstrate that the proposed high -resolution LMAPS is effective and accurate. This method is suitable for solving the Navier-Stokes equations with high Reynolds number.

Automated summary

This paper proposes a high resolution strategy for the localized method of approximate particular solutions (LMAPS). The strategy aims to improve the accuracy and stability of numerical calculation by selecting upwind interpolation templates. Numerical results demonstrate that the proposed high-resolution LMAPS is effective and accurate, especially for solving the Navier-Stokes equations with high Reynolds number.