Numerical simulation of solitary surface waves in a discrete model of an incompressible liquid

1988 ◽  
Vol 30 (3) ◽  
pp. 430-435 ◽  
Author(s):  
A. M. Frank
Keyword(s):  
Numerical Simulation ◽  
Surface Waves ◽  
Discrete Model ◽  
Incompressible Liquid

A Semi-Discrete Approach for the Numerical Simulation of Freestanding Blocks

2016 ◽  
pp. 416-439
Author(s):  
Fernando Peña
Keyword(s):  
Differential Equation ◽  
Numerical Simulation ◽  
Numerical Modeling ◽  
Discrete Model ◽  
Mathematical Formulation ◽  
Equation Of Motion ◽  
Rigid Bodies ◽  
The Body ◽  
Discrete Approach ◽  
Rocking Motion

This chapter addresses the numerical modeling of freestanding rigid blocks by means of a semi-discrete approach. The pure rocking motion of single rigid bodies can be easily studied with the differential equation of motion, which can be solved by numerical integration or by linearization. However, when we deal with sliding and jumping motion of rigid bodies, the mathematical formulation becomes quite complex. In order to overcome this complexity, a Semi-Discrete Model (SMD) is proposed for the study of rocking motion of rigid bodies, in which the rigid body is considered as a mass element supported by springs and dashpots, in the spirit of deformable contacts between rigid blocks. The SMD can detect separation and sliding of the body; however, initial base contacts do not change, keeping a relative continuity between the body and its base. Extensive numerical simulations have been carried out in order to validate the proposed approach.

304 Numerical Simulation of Wind Driven Surface Waves by CIP Finite Volume Method

2009 ◽  
Vol 2009.22 (0) ◽  
pp. 490-491
Author(s):  
Susumu YAMASHITA ◽  
Takayuki AOKI ◽  
Feng XIAO ◽  
Keiko TAKAHASHI
Keyword(s):  
Numerical Simulation ◽  
Surface Waves ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Volume Method

scholarly journals Numerical simulation of surface waves instability on a homogeneous grid

2016 ◽  
Vol 321-322 ◽  
pp. 51-66 ◽  
Author(s):  
Alexander O. Korotkevich ◽  
Alexander I. Dyachenko ◽  
Vladimir E. Zakharov
Keyword(s):  
Numerical Simulation ◽  
Surface Waves
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