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Update tutorial to work with domain folder

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This commit is contained in:
MatteoB30
2025-01-30 14:43:03 +01:00
committed by Nicola Demo
parent 08777d9b6c
commit 7d83203046
1 changed files with 18 additions and 18 deletions
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36
tutorials/tutorial12/tutorial.ipynb vendored
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@@ -47,7 +47,7 @@
},
{
"cell_type": "code",
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"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
@@ -62,8 +62,8 @@
"\n",
"#useful imports\n",
"from pina.problem import SpatialProblem, TimeDependentProblem\n",
"from pina.equation import Equation, FixedValue, FixedGradient, FixedFlux\n",
"from pina.geometry import CartesianDomain\n",
"from pina.equation import Equation, FixedValue\n",
"from pina.domain import CartesianDomain\n",
"import torch\n",
"from pina.operators import grad, laplacian\n",
"from pina import Condition\n",
@@ -72,7 +72,7 @@
},
{
"cell_type": "code",
"execution_count": 6,
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
@@ -100,10 +100,10 @@
"\n",
" # problem condition statement\n",
" conditions = {\n",
" 'gamma1': Condition(location=CartesianDomain({'x': -1, 't': [0, 1]}), equation=FixedValue(0.)),\n",
" 'gamma2': Condition(location=CartesianDomain({'x': 1, 't': [0, 1]}), equation=FixedValue(0.)),\n",
" 't0': Condition(location=CartesianDomain({'x': [-1, 1], 't': 0}), equation=Equation(initial_condition)),\n",
" 'D': Condition(location=CartesianDomain({'x': [-1, 1], 't': [0, 1]}), equation=Equation(burger_equation)),\n",
" 'gamma1': Condition(domain=CartesianDomain({'x': -1, 't': [0, 1]}), equation=FixedValue(0.)),\n",
" 'gamma2': Condition(domain=CartesianDomain({'x': 1, 't': [0, 1]}), equation=FixedValue(0.)),\n",
" 't0': Condition(domain=CartesianDomain({'x': [-1, 1], 't': 0}), equation=Equation(initial_condition)),\n",
" 'D': Condition(domain=CartesianDomain({'x': [-1, 1], 't': [0, 1]}), equation=Equation(burger_equation)),\n",
" }"
]
},
@@ -114,7 +114,7 @@
"\n",
"The `Equation` class takes as input a function (in this case it happens twice, with `initial_condition` and `burger_equation`) which computes a residual of an equation, such as a PDE. In a problem class such as the one above, the `Equation` class with such a given input is passed as a parameter in the specified `Condition`. \n",
"\n",
"The `FixedValue` class takes as input a value of same dimensions of the output functions; this class can be used to enforced a fixed value for a specific condition, e.g. Dirichlet boundary conditions, as it happens for instance in our example.\n",
"The `FixedValue` class takes as input a value of same dimensions of the output functions; this class can be used to enforce a fixed value for a specific condition, e.g. Dirichlet boundary conditions, as it happens for instance in our example.\n",
"\n",
"Once the equations are set as above in the problem conditions, the PINN solver will aim to minimize the residuals described in each equation in the training phase. "
]
@@ -145,7 +145,7 @@
},
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@@ -178,7 +178,7 @@
},
{
"cell_type": "code",
"execution_count": 14,
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
@@ -196,10 +196,10 @@
"\n",
" # problem condition statement\n",
" conditions = {\n",
" 'gamma1': Condition(location=CartesianDomain({'x': -1, 't': [0, 1]}), equation=FixedValue(0.)),\n",
" 'gamma2': Condition(location=CartesianDomain({'x': 1, 't': [0, 1]}), equation=FixedValue(0.)),\n",
" 't0': Condition(location=CartesianDomain({'x': [-1, 1], 't': 0}), equation=Equation(initial_condition)),\n",
" 'D': Condition(location=CartesianDomain({'x': [-1, 1], 't': [0, 1]}), equation=Burgers1DEquation(0.01/torch.pi)),\n",
" 'gamma1': Condition(domain=CartesianDomain({'x': -1, 't': [0, 1]}), equation=FixedValue(0.)),\n",
" 'gamma2': Condition(domain=CartesianDomain({'x': 1, 't': [0, 1]}), equation=FixedValue(0.)),\n",
" 't0': Condition(domain=CartesianDomain({'x': [-1, 1], 't': 0}), equation=Equation(initial_condition)),\n",
" 'D': Condition(domain=CartesianDomain({'x': [-1, 1], 't': [0, 1]}), equation=Burgers1DEquation(0.01/torch.pi)),\n",
" }"
]
},
@@ -214,7 +214,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"Congratulations on completing the `Equation` class tutorial of **PINA**! As we have seen, you can build new classes that inherits `Equation` to store more complex equations, as the Burgers 1D equation, only requiring to pass the characteristic coefficients of the problem. \n",
"Congratulations on completing the `Equation` class tutorial of **PINA**! As we have seen, you can build new classes that inherit `Equation` to store more complex equations, as the Burgers 1D equation, only requiring to pass the characteristic coefficients of the problem. \n",
"From now on, you can:\n",
"- define additional complex equation classes (e.g. `SchrodingerEquation`, `NavierStokeEquation`..)\n",
"- define more `FixedOperator` (e.g. `FixedCurl`)"
@@ -223,7 +223,7 @@
],
"metadata": {
"kernelspec": {
"display_name": "pina",
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
@@ -237,7 +237,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.1.0"
"version": "3.12.3"
},
"orig_nbformat": 4
},