A numerical solution of the 3D irrotational Navier-Stokes equations for non hydrostatic wave propagation

机译：非静水波传播的3D非旋转Navier-Stokes方程的数值解

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A numerical solution of the 3D Navier-Stokes equations is developed for irrotational flow by introducing a new set of unknowns in the equations making them amenable to a numerical analysis by using the method of characteristics. The efficiency and accuracy of the developed numerical model is successfully validated against a number of benchmark tests including propagation of a second order Stokes wave along a channel, formation of a non linear standing wave inside a basin, propagation of a solitary wave over a constant bed and wave reflection and transmission over a plane bottom slope.

机译：通过在方程组中引入一组新的未知数，从而使它们适合使用特征方法进行数值分析，从而为旋流开发了3D Navier-Stokes方程的数值解。所开发数值模型的效率和准确性已通过许多基准测试成功验证，其中包括沿通道传播的二阶斯托克斯波，在盆地内部形成非线性驻波，在恒定床上传播孤立波。以及在平面底坡上的波反射和透射。

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来源
《International Offshore and Polar Engineering Conference》|2007年|P.1970-1977|共8页
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Panayis-Fokion C. Matsoukis; Theofrastos S. Zacharatos;
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中图分类水路运输;
关键词
Non linear waves; non hydrostatic flow; wave propagation; three-dimensional numerical solution; Navier-Stokes equations; method of characteristics; solitary waves;

机译：非线性波;非静水力;波传播;三维数值解; Navier-Stokes方程;特征方法;孤波;

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4. A numerical solution of the 3D irrotational Navier-Stokes equations for non hydrostatic wave propagation [C] . Panayis-Fokion C. Matsoukis, Theofrastos S. Zacharatos International Offshore and Polar Engineering Conference . 2007

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5. NUMERICAL SOLUTION OF SINGULAR INTEGRAL EQUATIONS, WITH APPLICATIONS TO ELASTIC WAVE PROPAGATION PROBLEMS. [D] . SHEU, BOR-CHIOU. 1976

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8. Numerical solution of 3D Navier-Stokes equations with upwind implicit schemes [R] . Marx, Yves P. 1990

机译：具有迎风隐式格式的三维Navier-stokes方程的数值解

A numerical solution of the 3D irrotational Navier-Stokes equations for non hydrostatic wave propagation

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