Grad is a vector. q is a vector The dot product of grad and q is div q = 0.

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Presentation transcript:

grad is a vector

q is a vector

The dot product of grad and q is div q = 0

Homogeneous, isotropicHomogeneous, anisotropic AA B B Heterogeneous, isotropic Heterogeneous, anisotropic A A B B Characteristics of K in two dimensions K is constant Kz Kx

Laplace equation 2 h = 0

Toth Problem Impermeable Rock Groundwater divide Groundwater divide Laplace Equation 2D, steady state

Solution by iteration Example of spreadsheet formula Gauss-Seidel Iteration

i, j j i The 5 point star i+1, ji-1, j i, j-1 i, j+1

i, j j i

q is a vector

The dot product of grad and q is div q = 0

Homogeneous, isotropicHomogeneous, anisotropic AA B B Heterogeneous, isotropic Heterogeneous, anisotropic A A B B Characteristics of K in two dimensions K is constant Kz Kx

Laplace equation 2 h = 0

Toth Problem Impermeable Rock Groundwater divide Groundwater divide Laplace Equation 2D, steady state

Solution by iteration Example of spreadsheet formula Gauss-Seidel Iteration

i, j j i The 5 point star i+1, ji-1, j i, j-1 i, j+1

i, j j i