Abstract
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.
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