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مجله هیدرودینامیک
جزئیات رویداد
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همایش ، رویداد ، ژورنال
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  • a semi-implicit 3-d numerical model using sigam-coordinate for non-hydrostatic pressure free-surface flows

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    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 416
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     a 3-d numerical formulation is proposed on the horizontal cartesian, vertical sigma-coordinate grid for modeling non-hydrostatic pressure free-surface flows. the pressure decomposition technique and semi-implicit method are used, with the solution procedure being split into two steps. first, with the implicit parts of non-hydrostatic pressures excluded, the provisional velocity field and free surface are obtained by solving a 2-d poisson equation. second, the theory of the differential operator is employed to derive the 3-d poisson equation for non-hydrostatic pressures, which is solved to obtain the non-hydrostatic pressures and to update the provisional velocity field. when the non-orthogonal sigma-coordinate transformation is introduced, additional terms come into being, resulting in a 15-diagonal, diagonally dominant but unsymmetric linear system in the 3-d poisson equation for non-hydrostatic pressures. the biconjugate gradient stabilized (bicgstab) method is used to solve the resulting 3-d unsymmetric linear system instead of the conjugate gradient method, which can only be used for symmetric, positive-definite linear systems. three test cases are used for validations. the successful simulations of the small-amplitude wave, a supercritical flow over a ramp and a turbulent flow in the open channel indicate that the new model can simulate well non-hydrostatic flows, supercritical flows and turbulent flows.

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