A vertex-based reconstruction for cell-centered finite-volume discretization on unstructured grids

Recently, a vertex-based spatial reconstruction for unstructured cell-centered finite volume method has been proposed, showing advantages in accuracy, convergence, and efficiency. However, this was only applied inviscid flows. Moreover, shock-capturing computations, the conventional cell-based limiter choice to suppress numerical oscillations. In work, is extended solution of viscous flows, while automatically avoiding typical decoupling problem. WENO-type nonlinear weighting strategy designed combined with method, resulting simple cost-efficient alternative slope limiters. addition, present recently proposed iterative near-boundary treatment, ensuring linear exactness even vicinity boundaries, without sacrificing overall computational A series test cases involving flows shock waves provide evidence superior performance method. The are especially prominent on high aspect-ratio irregular triangular grids, which beneficial property solving realistic fluid dynamic problems at Reynolds numbers.