Time Dependent Non-Linear Potential Problems

1985 ◽  
pp. 63-86 ◽  
Author(s):  
P. Skerget ◽  
C. A. Brebbia
Keyword(s):  
Time Dependent ◽  
Linear Potential ◽  
Potential Problems ◽  
Non Linear

Non-linear potential problems

1983 ◽  
pp. 1-23 ◽  
Author(s):  
P. Skerget ◽  
C. A. Brebbia
Keyword(s):  
Linear Potential ◽  
Potential Problems ◽  
Non Linear

Linear and non-linear potential-flow calculations of free-surface waves with lift and induced drag

2000 ◽  
Vol 214 (6) ◽  
pp. 801-812
Author(s):  
C-E Janson
Keyword(s):  
Free Surface ◽  
Potential Flow ◽  
Lift Force ◽  
Radiation Condition ◽  
Linear Potential ◽  
Surface Boundary ◽  
Model Approximation ◽  
Non Linear ◽  
Lifting Surfaces ◽  
The Waves

A potential-flow panel method is used to compute the waves and the lift force from surface-piercing and submerged bodies. In particular the interaction between the waves and the lift produced close to the free surface is studied. Both linear and non-linear free-surface boundary conditions are considered. The potential-flow method is of Rankine-source type using raised source panels on the free surface and a four-point upwind operator to compute the velocity derivatives and to enforce the radiation condition. The lift force is introduced as a dipole distribution on the lifting surfaces and on the trailing wake, together with a flow tangency condition at the trailing edge of the lifting surface. Different approximations for the spanwise circulation distribution at the free surface were tested for a surface-piercing wing and it was concluded that a double-model approximation should be used for low speeds while a single-model, which allows for a vortex at the free surface, was preferred at higher speeds. The lift force and waves from three surface-piercing wings, a hydrofoil and a sailing yacht were computed and compared with measurements and good agreement was obtained.

Applicability and limitations of highly non-linear potential flow solvers in the context of water waves

2017 ◽  
Vol 142 ◽  
pp. 233-244 ◽  
Author(s):  
Guillaume Ducrozet ◽  
Félicien Bonnefoy ◽  
Yves Perignon
Keyword(s):  
Potential Flow ◽  
Water Waves ◽  
Linear Potential ◽  
Non Linear

Non-Linear Proportional Default Model with Time-Dependent Variable for Retail Loan

2009 ◽  
Vol 29 (11) ◽  
pp. 60-66 ◽  
Author(s):  
Jian-gang PENG ◽  
Zhang-fei LI ◽  
Zhi-hua LV ◽  
Hong-wei ZHOU
Keyword(s):  
Time Dependent ◽  
Default Model ◽  
Non Linear
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