3. Numerical Methods |

3.1 Numerical Procedure of the Contour Dynamics Model

3.2 Other Details

3.3 Integral Calculation

## 3.3 Integral Calculation

< Velocity field >The equation

(3.12)

is calculated numerically using the Gauss-Legendre integration formula of n = 10 ( Kawakami,1989 ):

(3.13)

< Time evolution >The equation

(3.14)

is integrated numerically using the Runge-Kutta-Gill scheme:

(3.15)

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