Retention and Transfer of Soluble Chemical Pollutants: Mechanisms and Numerical Modeling - Environmental Geomechanics - page 366

Concentration Concentration

1.0

1.0

Galerkin Standad α =0
Petrov-Galerkin α =1
Petrov-Galerkin α = α opt

0.8

0.8 Galerkin Standad α =0

Petrov-Galerkin α =1
Petrov-Galerkin α = α opt

0.6

0.6

0.4

0.4

0.2

0.2

0.0

0.0

Length

Length

-0.2

-0.2

-0.4

-0.4

-0.6

-0.6

a: Pe = 0 b: Pe = 1

Concentration Concentration

1.0 1.0

Galerkin Standad α =0
Petrov-Galerkin α =1
Petrov-Galerkin α = α opt

0.8 0.8 Galerkin Standad α =0

Petrov-Galerkin α =1
Petrov-Galerkin α = α opt

0.6 0.6

0.4 0.4

0.2 0.2

0.0 0.0

Length

Length

-0.2 -0.2

-0.4 -0.4

-0.6 -0.6

c: Pe = 5 d: Pe = 20

Conc.

1.0

0.8

0.6

0.4

0.2

0.0

Length

-0.2 Galerkin Standad α =0

Petrov-Galerkin α =1
Petrov-Galerkin α = α opt

-0.4

-0.6

e: Pe = ∞

Figure 13.4. Numerical solutions to the one-dimensional problem