diff --git a/_sources/notebooks/3D_simulation.ipynb b/_sources/notebooks/3D_simulation.ipynb index 5d71c12..78e40c5 100644 --- a/_sources/notebooks/3D_simulation.ipynb +++ b/_sources/notebooks/3D_simulation.ipynb @@ -149,7 +149,9 @@ "outputs": [], "source": [ "for i in model.builder.iter_node():\n", - " i.rift=[[182,175]]" + " i.rift=[[182,175]]\n", + " i.bflux = False\n", + " i.adiab = 0.3e-3 " ] }, { @@ -158,7 +160,9 @@ "metadata": {}, "outputs": [], "source": [ - "model.simulator.simulate_every = 1" + "model.simulator.simulate_every = 1\n", + "model.parameters.HPdcr = 1e11 # set to \"infinite\" decay\n", + "model.parameters.bflux = False # set to \"infinite\" decay\n" ] }, { @@ -230,7 +234,7 @@ "# interpolate and extrapolate the missing nodes\n", "# find nearby nodes from the array indexer_full_sim, which is sorted by x-index\n", "import itertools\n", - "from subsheat3D.fixed_mesh_model import interpolateNode\n", + "from warmth3d.fixed_mesh_model import interpolateNode\n", "for ni in range(len(model.builder.nodes)):\n", " for nj in range(len(model.builder.nodes[ni])):\n", " if model.builder.nodes[ni][nj] is False:\n", @@ -269,8 +273,7 @@ " model.builder.nodes[ni][nj] = node\n", " # if (model.builder.nodes[ni][nj].Y>12000):\n", " # model.builder.nodes[ni][nj].crustRHP = (2e-6) * 4\n", - " # model.builder.nodes[ni][nj].rhp = (2e-6) * 4\n", - " model.builder.nodes[ni][nj].crustRHP = (2e0) * 1\n" + " # model.builder.nodes[ni][nj].rhp = (2e-6) * 4\n" ] }, { @@ -308,7 +311,7 @@ " os.mkdir('temp')\n", "except FileExistsError:\n", " pass\n", - "run(model,start_time=model.parameters.time_start,end_time=0)\n", + "mm2 = run(model,start_time=model.parameters.time_start,end_time=0)\n", "\n" ] }, @@ -317,12 +320,51 @@ "execution_count": null, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "import numpy as np\n", + "hx = model.builder.grid.num_nodes_x // 2\n", + "hy = model.builder.grid.num_nodes_y // 2\n", + "# hx = model.builder.grid.num_nodes_x - 1 - pad\n", + "# hy = model.builder.grid.num_nodes_y - 1 - pad\n", + "\n", + "nn = model.builder.nodes[hy][hx]\n", + "dd = nn._depth_out[:,0]\n", + "\n", + "node_ind = hy*model.builder.grid.num_nodes_x + hx\n", + "v_per_n = int(mm2.mesh_vertices.shape[0]/(model.builder.grid.num_nodes_y*model.builder.grid.num_nodes_x))\n", + "\n", + "temp_1d = np.nan_to_num(nn.temperature_out[:,0], nan=5.0)\n", + "temp_3d_ind = np.array([ np.where([mm2.mesh_reindex==i])[1][0] for i in range(node_ind*v_per_n, (node_ind+1)*v_per_n) ] )\n", + "dd_mesh = mm2.mesh.geometry.x[temp_3d_ind,2]\n", + "temp_3d_mesh = mm2.u_n.x.array[temp_3d_ind]\n", + "\n", + "temp_1d_at_mesh_pos = np.interp(dd_mesh, dd, temp_1d)\n", + "dd_subset = np.where(dd_mesh<5000)\n", + "print(f'Max. absolute error in temperature at 3D mesh vertex positions: {np.amax(np.abs(temp_1d_at_mesh_pos-temp_3d_mesh))}')\n", + "print(f'Max. absolute error at depths < 5000m: {np.amax(np.abs(temp_1d_at_mesh_pos[dd_subset]-temp_3d_mesh[dd_subset]))}')\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib\n", + "import matplotlib as plt\n", + "plt.use('TkAgg')\n", + "\n", + "plt.pyplot.plot( dd, temp_1d, label=f'1D simulation'); \n", + "# plt.pyplot.plot( dd, temp_3d, label=f'3D simulation'); \n", + "plt.pyplot.plot( dd_mesh, temp_3d_mesh, 'o', label=f'3D simulation (nodes)'); \n", + "plt.pyplot.legend(loc=\"lower right\", prop={'size': 7})\n", + "plt.pyplot.show()\n" + ] } ], "metadata": { "kernelspec": { - "display_name": ".venv", + "display_name": "Python 3.9.10 64-bit", "language": "python", "name": "python3" }, @@ -336,7 +378,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.13" + "version": "3.9.10" + }, + "vscode": { + "interpreter": { + "hash": "e51a2b4e99f2ffc4c1b139fefabaf83a9a6f27184f9cac248baef6121453d47a" + } } }, "nbformat": 4, diff --git a/apireference.html b/apireference.html index ffa8e4f..95fa0dc 100644 --- a/apireference.html +++ b/apireference.html @@ -910,7 +910,7 @@

API Reference
-implicit_euler_solve(T_start: ndarray[float64], coord_all: ndarray[float64], density_all: ndarray[float64], conductivity_packed: ndarray[float64], source: ndarray[float64], k_last_node: float, HP_last_node: float) tuple[ndarray[float64], ndarray[float64]]
+implicit_euler_solve(T_start: ndarray[float64], coord_all: ndarray[float64], density_all: ndarray[float64], conductivity_packed: ndarray[float64], source: ndarray[float64], k_last_node: float, HP_last_node: float, T_base: float) tuple[ndarray[float64], ndarray[float64]]

Solve heat equation using backward Euler scheme

Parameters:
diff --git a/notebooks/3D_simulation.html b/notebooks/3D_simulation.html index ca96b20..b42a5b1 100644 --- a/notebooks/3D_simulation.html +++ b/notebooks/3D_simulation.html @@ -210,6 +210,8 @@
for i in model.builder.iter_node():
     i.rift=[[182,175]]
+    i.bflux = False
+    i.adiab = 0.3e-3
 
@@ -218,7 +220,9 @@
model.simulator.simulate_every = 1
-
+model.parameters.HPdcr = 1e11 # set to "infinite" decay +model.parameters.bflux = False # set to "infinite" decay +
@@ -284,7 +288,7 @@

# interpolate and extrapolate the missing nodes # find nearby nodes from the array indexer_full_sim, which is sorted by x-index import itertools -from subsheat3D.fixed_mesh_model import interpolateNode +from warmth3d.fixed_mesh_model import interpolateNode for ni in range(len(model.builder.nodes)): for nj in range(len(model.builder.nodes[ni])): if model.builder.nodes[ni][nj] is False: @@ -324,7 +328,6 @@ # if (model.builder.nodes[ni][nj].Y>12000): # model.builder.nodes[ni][nj].crustRHP = (2e-6) * 4 # model.builder.nodes[ni][nj].rhp = (2e-6) * 4 - model.builder.nodes[ni][nj].crustRHP = (2e0) * 1
@@ -342,7 +345,7 @@ os.mkdir('temp') except FileExistsError: pass -run(model,start_time=model.parameters.time_start,end_time=0) +mm2 = run(model,start_time=model.parameters.time_start,end_time=0)

@@ -369,9 +372,45 @@
[ ]:
 
-

+
import numpy as np
+hx = model.builder.grid.num_nodes_x // 2
+hy = model.builder.grid.num_nodes_y // 2
+# hx = model.builder.grid.num_nodes_x - 1 - pad
+# hy = model.builder.grid.num_nodes_y - 1 - pad
+
+nn = model.builder.nodes[hy][hx]
+dd = nn._depth_out[:,0]
+
+node_ind = hy*model.builder.grid.num_nodes_x + hx
+v_per_n = int(mm2.mesh_vertices.shape[0]/(model.builder.grid.num_nodes_y*model.builder.grid.num_nodes_x))
+
+temp_1d = np.nan_to_num(nn.temperature_out[:,0], nan=5.0)
+temp_3d_ind = np.array([ np.where([mm2.mesh_reindex==i])[1][0] for i in range(node_ind*v_per_n, (node_ind+1)*v_per_n) ] )
+dd_mesh = mm2.mesh.geometry.x[temp_3d_ind,2]
+temp_3d_mesh = mm2.u_n.x.array[temp_3d_ind]
+
+temp_1d_at_mesh_pos = np.interp(dd_mesh, dd, temp_1d)
+dd_subset = np.where(dd_mesh<5000)
+print(f'Max. absolute error in temperature at 3D mesh vertex positions: {np.amax(np.abs(temp_1d_at_mesh_pos-temp_3d_mesh))}')
+print(f'Max. absolute error at depths < 5000m: {np.amax(np.abs(temp_1d_at_mesh_pos[dd_subset]-temp_3d_mesh[dd_subset]))}')
+
+
+
+
+
[ ]:
 
+
%matplotlib
+import matplotlib as plt
+plt.use('TkAgg')
+
+plt.pyplot.plot( dd, temp_1d, label=f'1D simulation');
+# plt.pyplot.plot( dd, temp_3d, label=f'3D simulation');
+plt.pyplot.plot( dd_mesh, temp_3d_mesh, 'o', label=f'3D simulation (nodes)');
+plt.pyplot.legend(loc="lower right", prop={'size': 7})
+plt.pyplot.show()
+
+
diff --git a/notebooks/3D_simulation.ipynb b/notebooks/3D_simulation.ipynb index 5d71c12..78e40c5 100644 --- a/notebooks/3D_simulation.ipynb +++ b/notebooks/3D_simulation.ipynb @@ -149,7 +149,9 @@ "outputs": [], "source": [ "for i in model.builder.iter_node():\n", - " i.rift=[[182,175]]" + " i.rift=[[182,175]]\n", + " i.bflux = False\n", + " i.adiab = 0.3e-3 " ] }, { @@ -158,7 +160,9 @@ "metadata": {}, "outputs": [], "source": [ - "model.simulator.simulate_every = 1" + "model.simulator.simulate_every = 1\n", + "model.parameters.HPdcr = 1e11 # set to \"infinite\" decay\n", + "model.parameters.bflux = False # set to \"infinite\" decay\n" ] }, { @@ -230,7 +234,7 @@ "# interpolate and extrapolate the missing nodes\n", "# find nearby nodes from the array indexer_full_sim, which is sorted by x-index\n", "import itertools\n", - "from subsheat3D.fixed_mesh_model import interpolateNode\n", + "from warmth3d.fixed_mesh_model import interpolateNode\n", "for ni in range(len(model.builder.nodes)):\n", " for nj in range(len(model.builder.nodes[ni])):\n", " if model.builder.nodes[ni][nj] is False:\n", @@ -269,8 +273,7 @@ " model.builder.nodes[ni][nj] = node\n", " # if (model.builder.nodes[ni][nj].Y>12000):\n", " # model.builder.nodes[ni][nj].crustRHP = (2e-6) * 4\n", - " # model.builder.nodes[ni][nj].rhp = (2e-6) * 4\n", - " model.builder.nodes[ni][nj].crustRHP = (2e0) * 1\n" + " # model.builder.nodes[ni][nj].rhp = (2e-6) * 4\n" ] }, { @@ -308,7 +311,7 @@ " os.mkdir('temp')\n", "except FileExistsError:\n", " pass\n", - "run(model,start_time=model.parameters.time_start,end_time=0)\n", + "mm2 = run(model,start_time=model.parameters.time_start,end_time=0)\n", "\n" ] }, @@ -317,12 +320,51 @@ "execution_count": null, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "import numpy as np\n", + "hx = model.builder.grid.num_nodes_x // 2\n", + "hy = model.builder.grid.num_nodes_y // 2\n", + "# hx = model.builder.grid.num_nodes_x - 1 - pad\n", + "# hy = model.builder.grid.num_nodes_y - 1 - pad\n", + "\n", + "nn = model.builder.nodes[hy][hx]\n", + "dd = nn._depth_out[:,0]\n", + "\n", + "node_ind = hy*model.builder.grid.num_nodes_x + hx\n", + "v_per_n = int(mm2.mesh_vertices.shape[0]/(model.builder.grid.num_nodes_y*model.builder.grid.num_nodes_x))\n", + "\n", + "temp_1d = np.nan_to_num(nn.temperature_out[:,0], nan=5.0)\n", + "temp_3d_ind = np.array([ np.where([mm2.mesh_reindex==i])[1][0] for i in range(node_ind*v_per_n, (node_ind+1)*v_per_n) ] )\n", + "dd_mesh = mm2.mesh.geometry.x[temp_3d_ind,2]\n", + "temp_3d_mesh = mm2.u_n.x.array[temp_3d_ind]\n", + "\n", + "temp_1d_at_mesh_pos = np.interp(dd_mesh, dd, temp_1d)\n", + "dd_subset = np.where(dd_mesh<5000)\n", + "print(f'Max. absolute error in temperature at 3D mesh vertex positions: {np.amax(np.abs(temp_1d_at_mesh_pos-temp_3d_mesh))}')\n", + "print(f'Max. absolute error at depths < 5000m: {np.amax(np.abs(temp_1d_at_mesh_pos[dd_subset]-temp_3d_mesh[dd_subset]))}')\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib\n", + "import matplotlib as plt\n", + "plt.use('TkAgg')\n", + "\n", + "plt.pyplot.plot( dd, temp_1d, label=f'1D simulation'); \n", + "# plt.pyplot.plot( dd, temp_3d, label=f'3D simulation'); \n", + "plt.pyplot.plot( dd_mesh, temp_3d_mesh, 'o', label=f'3D simulation (nodes)'); \n", + "plt.pyplot.legend(loc=\"lower right\", prop={'size': 7})\n", + "plt.pyplot.show()\n" + ] } ], "metadata": { "kernelspec": { - "display_name": ".venv", + "display_name": "Python 3.9.10 64-bit", "language": "python", "name": "python3" }, @@ -336,7 +378,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.13" + "version": "3.9.10" + }, + "vscode": { + "interpreter": { + "hash": "e51a2b4e99f2ffc4c1b139fefabaf83a9a6f27184f9cac248baef6121453d47a" + } } }, "nbformat": 4, diff --git a/searchindex.js b/searchindex.js index fdbfce5..2dc47e2 100644 --- 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