Calculation step size determination method for wave force curve of cylindrical array based on diffraction theory

Abstract

The invention provides a diffraction theory-based cylindrical array wave force curve calculation step length determination method, which comprises the following steps of listing a velocity potential of water wave diffraction near any cylinder, and determining a diffraction coefficient by a linear equation set; Solving the linear equation set by adopting a Claimer rule to obtain a target square matrix determinant; Ignoring the quantity slowly changing along with the wave number in the square expression of the determinant model to obtain a target expression; And solving a first derivative of theexpression, enabling the first derivative to be equal to zero, obtaining a transcendental equation, deducing a fluctuation interval expression of any cylindrical wave force amplitude curve in a non-capture region, and dividing the fluctuation interval expression by a corresponding natural number according to the required precision to obtain the calculation step lengths of different regions. According to the method, the fluctuation interval of the wave force amplitude curve in the non-capture area is not changed along with the change of the dimensionless wave number and is only related to thetotal number of cylinders in the cylinder array, the number of the columns marking the positions of the cylinders and the wave incident angle, and meanwhile the calculation workload can be reduced onthe premise that the precision is guaranteed.

Description

Technical field [0001] The invention relates to the field of marine engineering, and particularly relates to a method for determining the step length of the wave force amplitude curve of the wave force received by any cylinder under the action of a wave under the action of a large number of cylinders penetrating the water surface. Background technique [0002] The ocean, which accounts for 71% of the earth's surface area, contains abundant recoverable resources such as oil and natural gas, and renewable energy sources such as wind and wave energy that can be used by mankind for a long time. With the increasing demand for energy and resources in economic development, it has become an obvious trend to expand living space in the ocean and seek a variety of material and energy supplies. [0003] Whether it is mining marine resources, developing marine space, or actually utilizing marine renewable energy, it is necessary to develop marine structures as carriers. Among them is a very im...

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