Simple expression for Green's function of the problem on ship waves in a deep homogeneous liquid (Q2761263)
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scientific article; zbMATH DE number 1683319
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simple expression for Green's function of the problem on ship waves in a deep homogeneous liquid |
scientific article; zbMATH DE number 1683319 |
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18 December 2001
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ship waves
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moving surface pressure
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Laplace equation
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potential of perturbed velocities
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surface elevation
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double integrals
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single integrals
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integral exponent
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wave field
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Simple expression for Green's function of the problem on ship waves in a deep homogeneous liquid (English)
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Suppose that on the surface \(z= 0\) of a deep fluid occupying the domain \(-\infty< x\), \(y<+\infty\), \(-\infty< z< 0\), the pressures of the form \(p_0f(x+ ct,y)\) move with constant velocity \(c\) in negative direction of the axis \(x\). The author derives a simple expression for the fluid surface elevation in the form of double integrals and single integrals containing a special function, the integral exponent. This enables to simplify the numerical analysis of wave field in the neighbouring domain.
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