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

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Presentation on theme: "Grad is a vector. q is a vector The dot product of grad and q is div q = 0."— Presentation transcript:

1 grad is a vector

2

3 q is a vector

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

5 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

6 Laplace equation 2 h = 0

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

8

9 Solution by iteration Example of spreadsheet formula Gauss-Seidel Iteration

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

11 i, j j i

12 q is a vector

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

14 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

15 Laplace equation 2 h = 0

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

17

18 Solution by iteration Example of spreadsheet formula Gauss-Seidel Iteration

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

20 i, j j i


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