21
Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic ideas of the Lattice Boltzmann in two and three spatial dimensions. The logical steps are the same as in d=1 but tensorial aspects take a prominent role in selecting the lattices with sufficient degree of symmetry to recover the correct hydrodynamic equations in the continuum limit. 1

Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

  • Upload
    others

  • View
    0

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

Lattice Boltzmann in two and three spatialdimensions

November 12, 2015

In this lecture we expose the basic ideas of the Lattice Boltzmann in twoand three spatial dimensions. The logical steps are the same as in d=1 buttensorial aspects take a prominent role in selecting the lattices with sufficientdegree of symmetry to recover the correct hydrodynamic equations in thecontinuum limit.

1

Page 2: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

2

Page 3: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

3

Page 4: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

4

Page 5: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

5

Page 6: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

6

Page 7: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

7

Page 8: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

8

Page 9: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

9

Page 10: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

10

Page 11: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

11

Page 12: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

12

Page 13: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

13

Page 14: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

14

Page 15: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

15

Page 16: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

16

Page 17: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

17

Page 18: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

18

Page 19: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

19

Page 20: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

20

Page 21: Lattice Boltzmann in two and three spatial dimensions · 2015-11-13 · Lattice Boltzmann in two and three spatial dimensions November 12, 2015 In this lecture we expose the basic

21