Numerical Modelling for Unsteady Capillary-Gravity Waves

The paper studies plane parallel problems of numerical modelling for wave propagation. Potential flows of the perfect incopressible fluid are considered. A numerical algorithm for a free boundary calculation is proposed. The algorithm is based on the boundary element method using quadratures with no saturation. With the help of the algorithm, the process of capillary-gravity waves breaking and cumulative jets generation is studied. Numerical stability and high accuracy of thin cumulative jets calculation are achieved due to special control of mesh points distribution and mesh step size reduction in the neighborhood of the jets forward ends with the huge curvature growth.

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06.12.2018

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13.12.2018

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GOST	Baykov N., Petrov A. Numerical Modelling for Unsteady Capillary-Gravity Waves // Doklady Akademii nauk – 2018. – V. 482. – Issue 6 C. 651-654 [Electronic resource]. URL: http://ras.jes.su/dan/s086956520002901-4-1-en (circulation date: 20.04.2024). DOI: 10.31857/S086956520002901-4
MLA	Baykov, Nikita, Petrov, A. "Numerical Modelling for Unsteady Capillary-Gravity Waves." Doklady Akademii nauk 482.6 (2018):651-654. DOI: 10.31857/S086956520002901-4
APA	Baykov N., Petrov A. (2018). Numerical Modelling for Unsteady Capillary-Gravity Waves. Doklady Akademii nauk 482(6), pp.651-654 DOI: 10.31857/S086956520002901-4

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