Accuracy and Stability of Virtual Source Method for Numerical Simulations of Nonlinear Water Waves
Author
Graham, DI
Al-Tameemi, O
Langfeld, K
Subject
Numerical wave tank (NWT) Boundary integral equation Energy conservation Accuracy Stability
Metadata
Show full item recordAbstract
The virtual source method (VSM) developed by Langfeld et al., (2016) is based upon the integral equations derived by using Green’s identity with Laplace’s equation for the velocity potential. These authors presented preliminary results using the method to simulate standing waves. In this paper, we numerically model a non-linear standing wave by using the VSM to illustrate the energy and volume conservation. Analytical formulas are derived to compute the volume and potential energy while the kinetic energy is computed by numerical integration. Results are compared with both theory and boundary element method (BEM).
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Place of Publication
Sapporo, Japan
Conference name
The 28th International Ocean and Polar Engineering Conference
Start date
2018-06-10
Finish date
2018-06-15 2018-06-15
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