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  • 1.
    Brüger, Armin
    et al.
    KTH, School of Engineering Sciences (SCI), Mechanics.
    Gustafsson, B.
    Lötstedt, P.
    Nilsson, J.
    Splitting methods for high order solution of the incompressible Navier-Stokes equations in 3D2005In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 47, no 10-11, 1157-1163 p.Article in journal (Refereed)
    Abstract [en]

    The incompressible Navier-Stokes equations are discretized in space by a hybrid method and integrated in time by the method of lines. The solution is determined on a staggered curvilinear grid in two space dimensions and by a Fourier expansion in the third dimension. The space derivatives are approximated by a compact finite difference scheme of fourth-order on the grid. The solution is advanced in time by a semi-implicit method. In each time step, systems of linear equations have to be solved for the velocity and the pressure. The iterations are split into one outer iteration and three inner iterations. The accuracy and efficiency of the method are demonstrated in a numerical experiment with rotated Poiseuille flow perturbed by Off-Sommerfeld modes in a channel.

  • 2.
    Brüger, Arnim
    KTH, Superseded Departments, Mechanics.
    A hybrid high order method for simulation of turbulent flow in complex geometries2004Doctoral thesis, comprehensive summary (Other scientific)
  • 3.
    Stålberg, Erik
    et al.
    KTH, School of Engineering Sciences (SCI), Mechanics.
    Brandt, Luca
    KTH, School of Engineering Sciences (SCI), Mechanics.
    Brüger, Arnim
    KTH, School of Engineering Sciences (SCI), Mechanics.
    Applications of a high order method for fluid flows in complex geometries2005Report (Other academic)
  • 4.
    Stålberg, Erik
    et al.
    KTH, School of Engineering Sciences (SCI), Mechanics.
    Brüger, Armin
    KTH, School of Engineering Sciences (SCI), Mechanics.
    Lötstedt, Per
    Johansson, Arne V.
    KTH, School of Engineering Sciences (SCI), Mechanics, Turbulence.
    Henningson, Dan S.
    KTH, School of Engineering Sciences (SCI), Mechanics, Stability, Transition and Control.
    High order accurate solution of flow past a circular cylinder2006In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 27, no 03-jan, 431-441 p.Article in journal (Refereed)
    Abstract [en]

    A high order method is applied to time-dependent incompressible flow around a circular cylinder geometry. The space discretization employs compact fourth-order difference operators. In time we discretize with a second-order semi-implicit scheme. A large linear system of equations is solved in each time step by a combination of outer and inner iterations. An approximate block factorization of the system matrix is used for preconditioning. Well posed boundary conditions are obtained by an integral formulation of boundary data including a condition on the pressure. Two-dimensional flow around a circular cylinder is studied for Reynolds numbers in the range 7 <= R <= 180. The results agree very well with the data known from numerical and experimental studies in the literature.

  • 5.
    Stålberg, Erik
    et al.
    KTH, School of Engineering Sciences (SCI), Mechanics.
    Brüger, Arnim
    KTH, School of Engineering Sciences (SCI), Mechanics.
    Nilsson, Jonas
    Gustafsson, Bertil
    Lötstedt, Per
    Johansson, Arne V.
    KTH, School of Engineering Sciences (SCI), Mechanics.
    Henningson, Dan S.
    KTH, School of Engineering Sciences (SCI), Mechanics.
    A hybrid high order method for incompressible flow in complex geometries/version2005Report (Other academic)
1 - 5 of 5
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