{"title":"波浪陡度对高阶斯托克斯波的影响","authors":"B. Oyetunde","doi":"10.4314/JONAMP.V11I1.40230","DOIUrl":null,"url":null,"abstract":"The effect of wave steepness on higher order finite amplitude Stokes waves is investigated analytically and numerically. It is shown that the phase speed increases as the wave steepness increases thereby initiating the wave instabilities. As the order increases, the phase speed also increases .However, the impact of wave steepness on phase speed is more pronounced for the wave steepness parameter ε.09 where 0.02 ≥ ┒ ≥ 0.33\nBeyond the upper bound, instability – wave breaking comes in.\n JONAMP Vol. 11 2007: pp. 369-374","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"118 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On the effects of wave steepness on higher order Stokes waves\",\"authors\":\"B. Oyetunde\",\"doi\":\"10.4314/JONAMP.V11I1.40230\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The effect of wave steepness on higher order finite amplitude Stokes waves is investigated analytically and numerically. It is shown that the phase speed increases as the wave steepness increases thereby initiating the wave instabilities. As the order increases, the phase speed also increases .However, the impact of wave steepness on phase speed is more pronounced for the wave steepness parameter ε.09 where 0.02 ≥ ┒ ≥ 0.33\\nBeyond the upper bound, instability – wave breaking comes in.\\n JONAMP Vol. 11 2007: pp. 369-374\",\"PeriodicalId\":402697,\"journal\":{\"name\":\"Journal of the Nigerian Association of Mathematical Physics\",\"volume\":\"118 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Nigerian Association of Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/JONAMP.V11I1.40230\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Association of Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/JONAMP.V11I1.40230","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
研究了波浪陡度对高阶有限振幅斯托克斯波的影响。结果表明，随着波浪陡度的增加，相速也随之增加，从而引发了波浪的不稳定性。随着阶数的增加，相速度也随之增加，但对于波陡度参数ε，波陡度对相速度的影响更为明显。09其中0.02≥┒≥0.33超过上界，进入不稳定-破波。JONAMP Vol. 11 2007: pp. 369-374
On the effects of wave steepness on higher order Stokes waves
The effect of wave steepness on higher order finite amplitude Stokes waves is investigated analytically and numerically. It is shown that the phase speed increases as the wave steepness increases thereby initiating the wave instabilities. As the order increases, the phase speed also increases .However, the impact of wave steepness on phase speed is more pronounced for the wave steepness parameter ε.09 where 0.02 ≥ ┒ ≥ 0.33
Beyond the upper bound, instability – wave breaking comes in.
JONAMP Vol. 11 2007: pp. 369-374
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