The HLLC scheme is an accurate, approximate Riemann solver. However, it suffers from the carbuncle phenomenon and numerical shock instability problems on both rectangular and triangular grids. In this paper, a hybrid HLLC scheme ( HLLC + ) is developed by adding some extra computations to the original HLLC scheme in order to achieve a stable and accurate scheme. The idea of the hybrid scheme is straightforward as it uses a simple shock-capturing function with parameter ϵ to detect regions where pressure oscillations such as shock waves are significant. In these regions, a less diffusive version of the AUSMV + scheme ( AUSMV 2 + ) is activated with a new weighting function with parameter κ . This new weighting function is designed to control the stability and accuracy of the hybrid scheme via the ratio of the square of the speed of sound of two adjacent cells. A linear perturbation analysis of an odd–even decoupling problem is used to analyze the effectiveness of the proposed hybrid scheme in damping perturbations. Several numerical examples are given to demonstrate that the new scheme ( HLLC + ) can obtain accurate solutions and that it is simple and efficient and requires comparable computational time with the original scheme.


    Zugriff

    Download


    Exportieren, teilen und zitieren



    Titel :

    Accurate and Robust Hybrid HLLC Riemann Solver on Triangular Grids


    Beteiligte:

    Erschienen in:

    AIAA Journal ; 61 , 9 ; 3935-3957


    Erscheinungsdatum :

    01.09.2023




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch





    DEVELOPMENT OF EULERIAN DROPLETS IMPINGEMENT MODEL USING HLLC RIEMANN SOLVER AND POD-BASED REDUCED ORDER METHOD

    Jung, S. / Myong, R.S. / Cho, T.-H. et al. | British Library Conference Proceedings | 2011


    A High Order Finite Volume-HLLC Solver and Anisotropic Delaunay Mesh Adaptation

    Remaki, Lakhdar / Zhongqiang, Xie / Hassan, Oubay et al. | AIAA | 2009


    A High Order Finite Volume-HLLC Solver and Anisotropic Delaunay Mesh Adaptation

    Remaki, L. / Zhongqiang, X. / Hassan, O. et al. | British Library Conference Proceedings | 2009


    A Navier-Stokes solver for stretched triangular grids

    ZHANG, H. / TREPANIER, J. / REGGIO, M. et al. | AIAA | 1992