A NOTE ON THE DISPERSION RELATION OF THE MODIFIED BOUSSINSQ EQUATIONS

  • Cho, Yong-Sik (Department of Civil Engineering, Hanyang University) ;
  • Lee, Chang-hoon (Department of Civil and Environmental Engineering, Sejong University)
  • Published : 2000.10.01

Abstract

Optimal values of $\alpha$ characterizing the linear dispersion property in the modified Boussinesq equations are determined by minimizing the combined relative errors of the phase and group velocities. The value of $\alpha$ is fixed in previous studies, whereas it is varying in the present study. The phase and group velocities are calculated by using variable $\alpha$ and compared to those of the linear Stokes wave theory and previous studies. It is found that the present study produces the best match to the linear Stokes theory.

Keywords

References

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