Finite difference method of transient nonlinear free surface wave problems
type: Item
instance of: scholarly article
title: Finite difference method of transient nonlinear free surface wave problems
zbMATH Open document ID: 0581.76021
DOI: 10.1007/BF01874952
author: Yulin Lu
author: Baoyuan Li
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1985-01-01T00:00:00Z
review text: A finite difference method is developed for computing the two-dimensional transient potential flow generated by an impulse on the free surface. Both the dynamic and kinematic free surface conditions are considered in nonlinear version. The primary features of the present paper include the use of special coordinate transformations so that the geometry of the flow field is transformed into a time-invariant region and presents an iteration process, by which the velocity potential is computed as the solution of a Poisson equation. The application of the fast Fourier transform (FFT) technique results in a tri-diagonal system of equations which can be readily solved by the Thomas algorithm and the computing time is significantly reduced. Thus an efficient technique for handling transient potential problems is well justified. The feasibility of the present method has been verified by two examples including different initial disturbances, respectively.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3930554
zbMATH Keywords: fast Fourier transformation
zbMATH Keywords: finite difference method
zbMATH Keywords: two-dimensional transient potential flow
zbMATH Keywords: impulse on the free surface
zbMATH Keywords: Poisson equation
zbMATH Keywords: tri-diagonal system of equations
zbMATH Keywords: transient potential problems
MaRDI profile type: Publication
cites work: Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
cites work: Improved free surface boundary conditions for numerical incompressible- flow calculations
cites work: Calculating three-dimensional free surface flows in the vicinity of submerged and exposed structures
cites work: A practical difference scheme for Fokker-Planck equations
cites work: Q4766710
cites work: The solution of viscous incompressible jet and free-surface flows using finite-element methods
full work available at URL: https://doi.org/10.1007/bf01874952
OpenAlex ID: W2057160335
description: scientific article; zbMATH DE number 3930554