Numerical Modelling inFortran : Test Cases

Paul Tackley, 2007

All cases

Aspect ratio = 4, for example: nx=129, ny=33 or nx=257, ny=65

Test Case 0(all code versions)

Ra=1.e5 Pr=Infinity (100 should give similar result) Q=0 total_time=0.1 W diffusion implicit, T diffusion either initial condition: random_number(T)

Test case 0: S and T

Test Case 1(implicit diffusion version)

Ra=1.e5 Pr=Infinity Q=20 total_time=0.1 beta=1.0 for W, anything for T initial condition: random_number(T)

Test Case 1: S and T

Test Case 2 (implicit diffusion version)

Ra=1.e3 Pr=Infinity Q=5 total_time=1.0 implicit diffusion (beta=1) initial condition: random_number(T)

Test Case 2: S and T

Test Case 3(all Pr version)

Ra=1.e5 Pr=0.1 Q=0 total_time=1.0 implicit diffusion (beta=1) initial condition: random_number(T)

Test Case 3

T

W

S

Test Case 4 (all Pr version)

Ra=1.e5 Pr=0.01 Q=0 aspect ratio=4 (e.g., nx=65, ny=257) total_time=1.0 implicit diffusion (beta=1) initial condition: random_number(T)

Test Case 4

T

W

S

other things to run

Try higher Ra! (more exciting) Note how with low Pr, the system takes

longer to spin up because momentumbuilds slowly