beq.song.dimensionless: Dimensionless solution for one-dimensional derived equation...

Description Usage Arguments Value Note Author(s) References See Also

Description

Dimensionless solution for one-dimensional derived equation from scaling Boussinesq Equation (Song et al, 2007)

Usage

1

Arguments

xi

dimensionless coordinate (see Note)

xi0

displacement of wetting front expressed as dimensionless coordinate (see Note)

a

vector of coefficient returned by coefficient.song.solution

Value

the dimesioneless solution, i.e. the variable H

Note

The expession for the dimensionless coordinate (Song at al., 2007) is ξ=x (\frac{2 \, s }{η_1 \, K_s \, t^{α+1} } )^{1/2} and the solution for the dimensionless equation derived by Boussinesq Equation is: H = ∑_{n=0}^{∞} a_n (1-\frac{ξ}{ξ_0} )^n for ξ<ξ_0 , otherwise is 0 .

Author(s)

Emanuele Cordano

References

Song, Zhi-yao;Li, Ling;David, Lockington. (2007), "Note on Barenblatt power series solution to Boussinesq equation",Applied Mathematics and Mechanics, http://www.springerlink.com/content/w0u8667772712801/ ,http://dx.doi.org/10.1007/s10483-007-0612-x

See Also

beq.song


boussinesq documentation built on May 2, 2019, 2:12 p.m.