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| # Test depth-dependent material model using simple material model as | ||
| # base model with depth-dependence specified by user-provided function. | ||
| # This is an extended copy from depth_dependent_box_function that | ||
| # uses a time dependent function to prescribe depth dependent viscosity. | ||
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| # At the top, we define the number of space dimensions we would like to | ||
| # work in: | ||
| set Dimension = 2 | ||
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| # There are several global variables that have to do with what | ||
| # time system we want to work in and what the end time is. We | ||
| # also designate an output directory. | ||
| set Use years in output instead of seconds = true | ||
| set End time = 1.0e8 | ||
| set Output directory = output-depth-dependent-box-function-time-dependent | ||
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| # Then there are variables that describe the tolerance of | ||
| # the linear solver as well as how the pressure should | ||
| # be normalized. Here, we choose a zero average pressure | ||
| # at the surface of the domain (for the current geometry, the | ||
| # surface is defined as the top boundary). | ||
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| set Pressure normalization = surface | ||
| set Surface pressure = 0 | ||
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| # Then come a number of sections that deal with the setup | ||
| # of the problem to solve. The first one deals with the | ||
| # geometry of the domain within which we want to solve. | ||
| # The sections that follow all have the same basic setup | ||
| # where we select the name of a particular model (here, | ||
| # the box geometry) and then, in a further subsection, | ||
| # set the parameters that are specific to this particular | ||
| # model. | ||
| subsection Geometry model | ||
| set Model name = box | ||
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| subsection Box | ||
| set X extent = 3.0e6 | ||
| set Y extent = 3.0e6 | ||
| end | ||
| end | ||
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| # The next section deals with the initial conditions for the | ||
| # temperature (there are no initial conditions for the | ||
| # velocity variable since the velocity is assumed to always | ||
| # be in a static equilibrium with the temperature field). | ||
| # There are a number of models with the 'function' model | ||
| # a generic one that allows us to enter the actual initial | ||
| # conditions in the form of a formula that can contain | ||
| # constants. We choose a linear temperature profile that | ||
| # matches the boundary conditions defined below plus | ||
| # a small perturbation: | ||
| subsection Initial temperature model | ||
| set Model name = function | ||
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| subsection Function | ||
| set Variable names = x,z | ||
| set Function constants = p=10.0, L=3.0e6, pi=3.1415926536, k=1 | ||
| set Function expression = 2773.0 - z/L*(2500.0) + p*cos(k*pi*x/L)*sin(k*pi*z/L/2.0) | ||
| end | ||
| end | ||
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| # Then follows a section that describes the boundary conditions | ||
| # for the temperature. The model we choose is called 'box' and | ||
| # allows to set a constant temperature on each of the four sides | ||
| # of the box geometry. In our case, we choose something that is | ||
| # heated from below and cooled from above. (As will be seen | ||
| # in the next section, the actual temperature prescribed here | ||
| # at the left and right does not matter.) | ||
| subsection Boundary temperature model | ||
| set List of model names = box | ||
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| subsection Box | ||
| set Bottom temperature = 2773 | ||
| set Left temperature = 0 | ||
| set Right temperature = 0 | ||
| set Top temperature = 273.0 | ||
| end | ||
| end | ||
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| # We then also have to prescribe several other parts of the model such as | ||
| # which boundaries actually carry a prescribed boundary temperature, whereas | ||
| # all other parts of the boundary are insulated (i.e., no heat flux through | ||
| # these boundaries; this is also often used to specify symmetry boundaries). | ||
| # The parameters below this comment were created by the update script | ||
| # as replacement for the old 'Model settings' subsection. They can be | ||
| # safely merged with any existing subsections with the same name. | ||
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| subsection Boundary temperature model | ||
| set Fixed temperature boundary indicators = bottom, top | ||
| end | ||
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| subsection Boundary velocity model | ||
| set Tangential velocity boundary indicators = left, right, bottom, top | ||
| end | ||
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| # The following two sections describe first the | ||
| # direction (vertical) and magnitude of gravity and the | ||
| # material model (i.e., density, viscosity, etc). We have | ||
| # discussed the settings used here in the introduction to | ||
| # this cookbook in the manual already. | ||
| subsection Gravity model | ||
| set Model name = vertical | ||
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| subsection Vertical | ||
| set Magnitude = 2e-5 # = Ra / Thermal expansion coefficient | ||
| end | ||
| end | ||
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| subsection Material model | ||
| set Model name = depth dependent | ||
| subsection Depth dependent model | ||
| set Base model = simple | ||
| set Depth dependence method = Function | ||
| subsection Viscosity depth function | ||
| set Variable names = d,t | ||
| set Function expression = if(d>6.70e5,3.0e22*(1.0+t/1e8),1.0e21*(1.0+t/1e8)); | ||
| end | ||
| end | ||
| subsection Simple model | ||
| set Reference density = 3300.0 | ||
| set Reference specific heat = 1250.0 | ||
| set Reference temperature = 0 | ||
| set Thermal conductivity = 4.0 | ||
| set Thermal expansion coefficient = 2e-5 | ||
| set Viscosity = 1e25 | ||
| end | ||
| end | ||
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| # The settings above all pertain to the description of the | ||
| # continuous partial differential equations we want to solve. | ||
| # The following section deals with the discretization of | ||
| # this problem, namely the kind of mesh we want to compute | ||
| # on. We here use a globally refined mesh without | ||
| # adaptive mesh refinement. | ||
| subsection Mesh refinement | ||
| set Initial global refinement = 4 | ||
| set Initial adaptive refinement = 0 | ||
| set Time steps between mesh refinement = 0 | ||
| end | ||
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| # The final part is to specify what ASPECT should do with the | ||
| # solution once computed at the end of every time step. The | ||
| # process of evaluating the solution is called `postprocessing' | ||
| # and we choose to compute velocity and temperature statistics, | ||
| # statistics about the heat flux through the boundaries of the | ||
| # domain, and to generate graphical output files for later | ||
| # visualization. These output files are created every time | ||
| # a time step crosses time points separated by 0.01. Given | ||
| # our start time (zero) and final time (0.5) this means that | ||
| # we will obtain 50 output files. | ||
| subsection Postprocess | ||
| set List of postprocessors = velocity statistics, temperature statistics, heat flux statistics, depth average | ||
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| subsection Depth average | ||
| set Time between graphical output = 0 | ||
| end | ||
| end | ||
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| subsection Solver parameters | ||
| set Temperature solver tolerance = 1e-10 | ||
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| subsection Stokes solver parameters | ||
| set Linear solver tolerance = 1e-7 | ||
| end | ||
| end |
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