Hybrid finite analytic solutions of shallow water circulation

Huai, Wenxin; Sheng, Y. Peter; Komatsu, Toshimitsu

doi:10.1007/bf02437640

Cited by 7 publications

(1 citation statement)

References 5 publications

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“…(13) [9,10] . The stagger grid was applied to avoid improper sawtooth-like pressure distribution arisen probably from calculating all the variables on a same node.…”

Section: Methods Of Calculationmentioning

confidence: 99%

Behavior of obstructed square buoyant vertical jets in static ambient (I)—verification of mathematical model and numerical method

2006

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Some experiments were made for the buoyant jet from a square orifice with a square disc placed on it in static ambient and concentration along the axis in self-similar area behind disc was measured. And at the same time a three-dimensional mathematical model was established to simulate the whole flowing under different conditions. All the results predicted by the numerical calculation were substantiated by the experiments. The results were compared with experiential formula for obstructed round buoyant vertical jets in static ambient and it was found that the two concentration distributions had good accordance. Star shape of temperature isolines on cross-sections in the near areas from the disc was found and it was a very special figure for obstructed square buoyant vertical jets with a square disc. The shape will transform to concentric circles gradually alike to the round buoyant vertical jet in self-similar area with increasing of the distance from the disc.

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“…(13) [9,10] . The stagger grid was applied to avoid improper sawtooth-like pressure distribution arisen probably from calculating all the variables on a same node.…”

Section: Methods Of Calculationmentioning

confidence: 99%

Behavior of obstructed square buoyant vertical jets in static ambient (I)—verification of mathematical model and numerical method

2006

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Large eddy simulation of vertical turbulent jets under JONSWAP waves

et al. 2011

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The effect of random waves on vertical plane turbulent jets is studied numerically and the mechanism behind the interaction of the jet and waves is analyzed. The large eddy simulation method is used and the σ-coordinate system is adopted. Turbulence is modeled by a dynamic coherent eddy model. The σ-coordinate transformation is introduced to map the irregular physical domain with a wavy free surface and an uneven bottom onto a regular computational domain. The fractional step method is used to solve the filtered Navier-Stokes equations. Results presented include the distribution of velocity, the decay law of the mean velocity along the jet axis, self-similar characteristics and volume flux per unit width. In particular, the role of coherent structures on the momentum transfer along the jet centerline and the jet instantaneous characteristics in JONSWAP waves are a special focus of this research. The numerical results obtained are of great theoretical importance in understanding the behavior of turbulent jets in random wave environments.

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A novel dynamic coherent eddy model and its application to LES of a turbulent jet with free surface

Lü

Tang

Wang

et al. 2010

Sci. China Phys. Mech. Astron.

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We has developed a novel dynamic coherent eddy model, in which the coherent structure-Q criterion introduced by Hunt et al (1988)-is taken into account in the subgrid-scale turbulent viscosity based on the eddy viscosity model. One proposed method is to combine the resolved-scale velocity-gradient tensor in the classical Smagorinsky model with Q criterion weighted. A kind of dynamic procedure which was averaged in a general process at temporal direction based on the autocorrelations of the characteristic resolved scales of turbulence was taken for the coefficient of subgrid model. The model is implemented in the σ-coordinate and the filtered Navier-Stokes equations are solved by the operator splitting method. The validation was explored to 2-D turbulent slot jet both in ambient environment and in regular waves. The prediction of the present model was compared with the experiment data, including the averaged velocity profiles, the velocity fluctuations and the Reynolds stress. The model performance is shown to be satisfactory.

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Hybrid finite analytic solutions of shallow water circulation

Cited by 7 publications

References 5 publications

Behavior of obstructed square buoyant vertical jets in static ambient (I)—verification of mathematical model and numerical method

Behavior of obstructed square buoyant vertical jets in static ambient (I)—verification of mathematical model and numerical method

Large eddy simulation of vertical turbulent jets under JONSWAP waves

A novel dynamic coherent eddy model and its application to LES of a turbulent jet with free surface

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