# Numerical method for a free surface flow on the basis of the fictitious domain method

Research output: Contribution to journalArticle

4 Citations (Scopus)

### Abstract

We present a numerical method to solve free surface flow problems, using the fictitious domain method. Navier-Stokes equations in the original domain and singular perturbed diffusion equations in the fictitious domain are combined to construct distribution Navier-Stokes equations in the analysed domain. At the same time, the distribution evolution equation for the free surface is derived by using the characteristic function of the fictitious domain. The coating problem for magnetic paints is chosen to apply this method.

Original language English 57-66 10 East-West Journal of Numerical Mathematics 5 1 Published - 1997 Yes

### Fingerprint

Fictitious Domain
Fictitious Domain Method
Free Surface Flow
Navier Stokes equations
Numerical methods
Navier-Stokes Equations
Numerical Methods
Characteristic Function
Paint
Diffusion equation
Free Surface
Coating
Evolution Equation
Coatings

### ASJC Scopus subject areas

• Computational Mathematics

### Cite this

Numerical method for a free surface flow on the basis of the fictitious domain method. / Kawarada, H.; Suito, H.

In: East-West Journal of Numerical Mathematics, Vol. 5, No. 1, 1997, p. 57-66.

Research output: Contribution to journalArticle

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