Exact solution and approximate solution of irregular wave radiation stress for non-breaking wave
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Abstract: Wave radiation stress is the main driving force of wave-induced near-shore currents. It is directly related to the hydrodynamic characteristics of near-shore current whether the calculation of wave radiation stress is accurate or not. Irregular waves are more capable of reacting wave motion in the ocean compared to regular waves. Therefore, the calculation of the radiation stress under irregular waves will be more able to reflect the wave driving force in the actual near-shore current. Exact solution and approximate solution of the irregular wave radiation stress are derived in this paper and the two kinds of calculation methods are compared. On the basis of this, the experimental results are used to further verify the calculation of wave energy in the approximate calculation method. The results show that the approximate calculation method of irregular wave radiation stress has a good accuracy under the condition of narrow-band spectrum, which can save a lot of computing time, and thus improve the efficiency of calculation. However, the exact calculation method can more accurately reflect the fluctuation of radiation stress at each moment and each location.
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Figure 3. Comparison of the results of irregular wave energy between the accurate calculation and the approximate calculation.
4. Comparison of the results of the irregular wave radiation stress between the exact calculation and the approximate calculation.
Figure 5. Experimental setup showing the wave maker, shoreline and the laboratory setup (the red cross signs are the locations of wave gauges and the black circles are the locations of ADVs).
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