# Numerical analysis of breaking waves using the moving particle semi-implicit method

##### Citations

923 citations

862 citations

691 citations

610 citations

### Cites background from "Numerical analysis of breaking wave..."

...r(r) is a measure of the particle number density which has a larger value in a dense particle region than in a dilute particle region [20]....

[...]

572 citations

##### References

3,984 citations

### "Numerical analysis of breaking wave..." refers methods in this paper

...The simultaneous linear equations are solved using the incomplete Cholesky decomposition conjugate gradient (ICCG) method [16]....

[...]

1,653 citations

### "Numerical analysis of breaking wave..." refers background or methods in this paper

...1 was selected to avoid the concentration of particles near the free surfaces [4]....

[...]

...This value was selected by a test calculation [4]....

[...]

...0 was selected by the balance between computation time and accuracy [4]....

[...]

...The weight function which was used in the particle interaction models was improved to enhance the numerical stability of the MPS method [4]....

[...]

424 citations

387 citations

### "Numerical analysis of breaking wave..." refers background or methods or result in this paper

...The relation between the breaker types and the surf similarity parameter is compared with the experiments in References [13,14]....

[...]

...In fact, it was written in Galvin’s paper [14] that...

[...]

...This agrees with Galvin’s result [14], but is a little larger than Patrick–Wiegel’s result [13] of j=0....

[...]

...Two experimental results are also included in the figure [13,14]....

[...]

...These tendencies agree with experiments [13,14]....

[...]

365 citations