International Journal for Numerical Methods in Fluids

Cover image for Vol. 73 Issue 10

10 December 2013

Volume 73, Issue 10

Pages 847–926

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Adaptive Runge–Kutta discontinuous Galerkin method for complex geometry problems on Cartesian grid (pages 847–868)

      Jianming Liu, Jianxian Qiu, Ou Hu, Ning Zhao, Mikhail Goman and Xinkai Li

      Version of Record online: 9 JUL 2013 | DOI: 10.1002/fld.3825

      Thumbnail image of graphical abstract

      The proposed h-adaptive RKDG method with ghost cell immersed boundary treatment is validated versus well-documented test problems involving both steady and unsteady compressible flows through complex bodies over a wide range of Mach numbers. The quantitative analysis presented by a table shows the accuracy of the boundary treatment is second order.

    2. Highly scalable computational algorithms on emerging parallel machine multicore architectures: development and implementation in CFD context (pages 869–882)

      R. Kannan, V. Harrand, M. Lee and A. J. Przekwas

      Version of Record online: 7 JUL 2013 | DOI: 10.1002/fld.3827

      Thumbnail image of graphical abstract

      This figure shows the scalability plot as a function of the number of partitions for both communication paradigms. PETSc refers to the original generic communication pattern (as employed by PETSc), the newly developed communication is ‘optimized communication’.

    3. High-order continuous and discontinuous Galerkin methods for wave problems (pages 883–903)

      Giorgio Giorgiani, David Modesto, Sonia Fernández-Méndez and Antonio Huerta

      Version of Record online: 12 JUL 2013 | DOI: 10.1002/fld.3828

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      The computational efficiency of continuous Galerkin, compact discontinuous Galerkin and hybridizable discontinuous Galerkin is compared for 2D scattering problems in unbounded domains. High-order polynomial approximations out-perform low-order approaches for a wide range of wavelengths, requiring less degrees of freedom, and less runtime, for a given accuracy, for both continuous and discontinuous methods. Continuous Galerkin and hybridizable discontinuous Galerkin exhibit comparable efficiency for high-order approximations, providing similar levels of accuracy for the same computational cost and clearly outperforming compact discontinuous Galerkin.

    4. A CWENO ghost fluid method for compressible multimaterial flow (pages 904–926)

      Mohsen Lahooti and Ahmadreza Pishevar

      Version of Record online: 11 JUL 2013 | DOI: 10.1002/fld.3829

      Thumbnail image of graphical abstract

      A ghost fluid method is developed for multimaterial compressible flow with arbitrary equations of state. The structure of wave pattern at the interface is approximated by a two-shock system, which their speeds are estimated by a simple wave speed model and intermediate states are calculated analytically and independent from the equation of state. These intermediate states are then used to populate ghost points. Numerical results showed that the proposed method is robust and capable of handling strong shock–interface interaction.