Tutorial II Using the adap3ve mesh refinement & spherical shell geometry. Juliane Dannberg
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1 Tutorial II Using the adap3ve mesh refinement & spherical shell geometry Juliane Dannberg
2 Overview At the end of this tutorial, you should be able to: Set up a model with Earth- like geometry and temperature in Aspect Set up a model with adap3ve mesh in Aspect Decide which mesh refinement strategy to use Know a bit more about how the mesh influences the flow field J 10/28/14 2
3 Setup: Convec3on in a Shell No slip, T = const Geometry: Quarter of a spherical shell Constant ini3al temperature with a perturba3on to start the upwelling 10/28/14 3
4 Tasks We will split the class into mul3ple groups iden3fied by the mesh refinement (number of global refinements) You will need to: 1. Modify the spherical_shell.prm file to use your assigned refinement number/strategy 2. Run the simula3on 3. Visualize the results and make sure they are realis3c 4. Check which features of the flow field are resolved 5. Note: to halt a simula3on, press Control- C 10/28/14 4
5 Using ASPECT We will begin by edi3ng the input file 1. Change to the appropriate directory cd ~/ASPECT_TUTORIAL/models 2. Open the parameter file for edi3ng gedit spherical_shell.prm 10/28/14 5
6 Material model set Adiabatic surface temperature = 1600 subsection Material model set Model name = simple subsection Simple model set Thermal expansion coefficient = 2e-5 set Viscosity = 3e21 set Thermal viscosity exponent = 3 set Reference temperature = 1600 end end These should be the same Temperature- dependent viscosity 10/28/14 6
7 Geometry & gravity model subsection Geometry model set Model name = spherical shell subsection Spherical shell set Inner radius = set Outer radius = set Opening angle = 90 end end The gravity model has to be changed together with the geometry subsection Gravity model set Model name = radial earth-like end 10/28/14 7
8 Ini3al condi3ons set Adiabatic surface temperature = 1600 subsection Initial conditions set Model name = adiabatic subsection Adiabatic set Amplitude = 10 set Radius = end end This is the temperature used as ini3al condi3on 10/28/14 8
9 Adiaba3c ini3al condi3ons Calculated using depth- dependent ρ, α, c p 10/28/14 9
10 Boundary condi3ons subsection Model settings set Zero velocity boundary indicators = 0 set Tangential velocity boundary indicators = 1, 2, 3 set Prescribed velocity boundary indicators = set Fixed temperature boundary indicators = 0, 1 set Include shear heating set Include adiabatic heating end = false = false 10/28/14 10
11 Boundary condi3ons subsection Model settings subsection Model settings set Zero velocity boundary indicators = inner set Tangential velocity boundary indicators = outer, left, set Prescribed velocity boundary indicators = set Fixed temperature boundary indicators = inner, outer right set Include shear heating set Include adiabatic heating end = false = false 10/28/14 11
12 Mesh refinement subsection Mesh refinement set Initial global refinement = 5 set Initial adaptive refinement = 0 set Strategy = temperature set Time steps between mesh refinement = 0 set Coarsening fraction = 0.05 set Refinement fraction = 0.3 end Global refinement = 5 Global refinement = 3 Global refinement = 4 Adap3ve refinement = 2 10/28/14 12
13 Mesh refinement subsection Mesh refinement set Initial global refinement = 5 set Initial adaptive refinement = 0 set Strategy = temperature set Time steps between mesh refinement = 0 set Coarsening fraction = 0.05 set Refinement fraction = 0.3 end Running the model aspect spherical_shell.prm Or in parallel mpirun np 2 aspect spherical_shell.prm This is what we want to change: Group 1: 3 Group 2: 4 Group 3: 5 Group 4: 6 10/28/14 13
14 Numerical Challenges Different scales High viscosity contrasts Advec3on of steep thermal/ composi3onal gradients Complex material proper3es Problems with large number of DOFs
15 Mesh adapta3on Example: Composi3on as refinement strategy Composi3onal field Mesh cells, colors indicate the es3mated error
16 Mesh adapta3on Stokes solver for problems with complex interfaces and high viscosity ra3os Circular inclusion test, viscosity constrast 10 3
17 Mesh adapta3on Analy3cal Solu3on for Pressure: Aspect s solu3on for Pressure: (Schmid, Podladchikov, 2003)
18 Mesh adapta3on Choose Strategies: temperature, density, velocity, composi3on, thermal energy density Choose refinement + coarsening frac1on a Calculate error es3mate c K (based on 2nd deriva3ves & cell diameter) E = K T c K Total error es3mate E Normalize refinement criteria? Scale errors for each criterium? Add errors/ take maximum? Look for the smallest subset M ae = c K K M (sum up c K in the cells with the largest/smallest error un3l you reach frac3on a of the error) Mark those cells for refinement/coarsening
19 Mesh refinement op3ons Strategies: (nonadiaba3c) temperature / pressure, composi3on, density, velocity, viscosity, thermal energy density Refinement criteria scaling factors min/max refinement level func3on Ø Phase transi3ons / jump in material proper3es Addi3onal refinement 3mes Ø Onset of new processes (convec3on? mel3ng? plate veloci3es?) 10/28/14 19
20 Inspec3ng the results 1. With Paraview paraview 2. How does the flow field change with varying the resolu3on? 3. How does the run3me change with the adap3ve refinement compared to global refinement? 4. What refinement / coarsening frac3on is sufficient? 10/28/14 20
21 Results Time snapshots of models with different resolu3on Group 1: 3 Group 2: 4 Group 3: 5 Group 4: 6 10/28/14 21
22 Mesh refinement subsection Mesh refinement set Initial global refinement = 5 set Initial adaptive refinement = 0 set Strategy = temperature set Time steps between mesh refinement = 0 set Coarsening fraction = 0.05 set Refinement fraction = 0.3 end This is what we want to change: Group 1: Group 2: Group 3: Set to a value > 0 to enable adap3ve refinement 10/28/14 22
23 Results global adap3ve /28/14 23
24 Results Global 6 Adap3ve 6 10/28/14 24
25 Results Run3me in s Global Adap3ve Refinement 3 Refinement 4 Refinement 5 Refinement 6 10/28/14 25
26 Mesh refinement subsection Mesh refinement set Initial global refinement = 4 set Initial adaptive refinement = 2 set Strategy = temperature set Time steps between mesh refinement = 5 set Refinement fraction = 0.3 set Coarsening fraction = 0.05 end This is what we want to change: Group 1: Group 2: /28/14 26
27 Results 10/28/14 27
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