{ "cells": [ { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000001", "metadata": {}, "source": [ "# GABLS1 LES Intercomparison Study for Stable Boundary Layers: SGS Model Coefficients" ] }, { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000002", "metadata": {}, "source": "*Last updated: June 2026*\n" }, { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000003", "metadata": {}, "source": [ "For case setup and physical parameters, see the [Description](SBL_GABLS1_Description.ipynb) notebook.\n", "\n", "Vertical profiles of the SGS coefficients \u2014 Smagorinsky coefficient $C_s$, SGS Prandtl number $\\mathrm{Pr}_{SGS}$, and scale-dependence parameters $\\beta_1$ (momentum) and $\\beta_2$ (scalar) \u2014 are compared across the four grid resolutions ($64^3$, $128^3$, $256^3$, $384^3$) for a user-selected SGS model. Averaging window: 8\u20139 h." ] }, { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000004", "metadata": {}, "source": [ "## Setup\n", "\n", "The next cells load Python packages, locate the simulation outputs, and define the grid and averaging window used throughout the notebook." ] }, { "cell_type": "code", "id": "gabls1sgsc-0002-4002-8002-000000000005", "metadata": { "ExecuteTime": { "end_time": "2026-06-06T01:16:30.785834Z", "start_time": "2026-06-06T01:16:30.756675Z" } }, "source": [ "import os\n", "import re\n", "import glob\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from pathlib import Path" ], "outputs": [], "execution_count": 1 }, { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000006", "metadata": {}, "source": [ "### Output directories" ] }, { "cell_type": "code", "id": "gabls1sgsc-0002-4002-8002-000000000007", "metadata": { "ExecuteTime": { "end_time": "2026-06-06T01:16:30.810778Z", "start_time": "2026-06-06T01:16:30.786801Z" } }, "source": [ "from pathlib import Path\n", "\n", "# Base directory (jaxalfa/)\n", "def find_repo_root(start=None):\n", " path = Path(start or ('__file__' in globals() and __file__) or Path.cwd()).resolve()\n", " for candidate in (path, *path.parents):\n", " if (candidate / 'examples').is_dir() and (candidate / 'docs').is_dir():\n", " return candidate\n", " raise FileNotFoundError('Could not locate jaxalfa repository root')\n", "\n", "BaseDir = find_repo_root()\n", "\n", "def read_config(run_dir):\n", " cfg = {}\n", " exec((run_dir / 'Config.py').read_text(), cfg)\n", " return cfg\n", "\n", "\n", "optSGS = 1 # LASDD-SM: 1, LASDD-WL: 2, LAD-SM: 3, LAD-WL: 4\n", "\n", "sgs_names = {1: 'LASDD-SM', 2: 'LASDD-WL', 3: 'LAD-SM', 4: 'LAD-WL'}\n", "\n", "run_styles = {\n", " '64x64x64': {'color': 'red', 'linestyle': '-'},\n", " '128x128x128': {'color': 'blue', 'linestyle': '-'},\n", " '256x256x256': {'color': 'green', 'linestyle': '-'},\n", " '384x384x384': {'color': 'black', 'linestyle': '-'},\n", "}\n", "\n", "_sgs = {1: 'LASDD_SM', 2: 'LASDD_WL', 3: 'LAD_SM', 4: 'LAD_WL'}\n", "\n", "# Precision is hardcoded per resolution for this case\n", "OutputDir1 = BaseDir / f'examples/SBL_GABLS1/runs/64x64x64_{_sgs[optSGS]}_DP/output'\n", "OutputDir2 = BaseDir / f'examples/SBL_GABLS1/runs/128x128x128_{_sgs[optSGS]}_DP/output'\n", "OutputDir3 = BaseDir / f'examples/SBL_GABLS1/runs/256x256x256_{_sgs[optSGS]}_DP/output'\n", "OutputDir4 = BaseDir / f'examples/SBL_GABLS1/runs/384x384x384_{_sgs[optSGS]}_DP/output'" ], "outputs": [], "execution_count": 2 }, { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000008", "metadata": {}, "source": [ "### Case configuration" ] }, { "cell_type": "code", "id": "gabls1sgsc-0002-4002-8002-000000000009", "metadata": { "ExecuteTime": { "end_time": "2026-06-06T01:16:30.842294Z", "start_time": "2026-06-06T01:16:30.820836Z" } }, "source": [ "cfg_1 = read_config(OutputDir1.parent)\n", "cfg_2 = read_config(OutputDir2.parent)\n", "cfg_3 = read_config(OutputDir3.parent)\n", "cfg_4 = read_config(OutputDir4.parent)\n", "\n", "nz_1 = int(cfg_1['nz'])\n", "nz_2 = int(cfg_2['nz'])\n", "nz_3 = int(cfg_3['nz'])\n", "nz_4 = int(cfg_4['nz'])\n", "\n", "l_z = float(cfg_1['l_z'])\n", "z_damping = float(cfg_1.get('z_damping', np.nan))\n", "OutputInterval_sec = float(cfg_1.get('OutputInterval_sec', 60.0))\n", "\n", "# Averaging window \u2014 GABLS1 quasi-steady state (hours 8\u20139)\n", "T_start = 8 * 3600 # s\n", "T_end = 9 * 3600 # s" ], "outputs": [], "execution_count": 3 }, { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000010", "metadata": {}, "source": [ "### Derived grid and averaging indices" ] }, { "cell_type": "code", "id": "gabls1sgsc-0002-4002-8002-000000000011", "metadata": { "ExecuteTime": { "end_time": "2026-06-06T01:16:30.869681Z", "start_time": "2026-06-06T01:16:30.847964Z" } }, "source": [ "# Half levels \u2014 SGS coefficients live at UVP nodes\n", "z_1 = np.array([(k + 0.5) * l_z / (nz_1 - 1) for k in range(nz_1)])\n", "z_2 = np.array([(k + 0.5) * l_z / (nz_2 - 1) for k in range(nz_2)])\n", "z_3 = np.array([(k + 0.5) * l_z / (nz_3 - 1) for k in range(nz_3)])\n", "z_4 = np.array([(k + 0.5) * l_z / (nz_4 - 1) for k in range(nz_4)])\n", "\n", "# File indices for the averaging window\n", "T_start_index = int(T_start / OutputInterval_sec) - 1\n", "T_end_index = int(T_end / OutputInterval_sec) - 1\n", "\n", "print(f'Averaging window: file indices {T_start_index} \u2013 {T_end_index}')" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Averaging window: file indices 479 \u2013 539\n" ] } ], "execution_count": 4 }, { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000012", "metadata": {}, "source": [ "### SGS coefficient loader" ] }, { "cell_type": "code", "id": "gabls1sgsc-0002-4002-8002-000000000013", "metadata": { "ExecuteTime": { "end_time": "2026-06-06T01:16:30.885906Z", "start_time": "2026-06-06T01:16:30.874258Z" } }, "source": [ "def LoadSGSAverage(stat_files, T_start_index, T_end_index, nz_expected):\n", " \"\"\"Return time-averaged SGS coefficient profiles over the given window.\n", "\n", " Returns\n", " -------\n", " Cs2_1, Cs2_2 : ndarray (nz)\n", " Smagorinsky coefficient squared: (PlanarMean(Cs))^2 and PlanarMean(Cs^2).\n", " Cs2PrRatio : ndarray (nz)\n", " PlanarMean(Cs^2 / Pr_T) profile.\n", " Beta1, Beta2 : ndarray (nz)\n", " Scale-dependence parameters for momentum and scalar.\n", " \"\"\"\n", " if len(stat_files) == 0:\n", " print(f'No statistics files available; plotting NaN placeholders for nz={nz_expected}.')\n", " nan = np.full(nz_expected, np.nan)\n", " return nan, nan.copy(), nan.copy(), nan.copy(), nan.copy()\n", "\n", " sl = slice(T_start_index, min(T_end_index + 1, len(stat_files)))\n", " if sl.start >= len(stat_files):\n", " print(f'Averaging window starts after available files; plotting NaN placeholders for nz={nz_expected}.')\n", " nan = np.full(nz_expected, np.nan)\n", " return nan, nan.copy(), nan.copy(), nan.copy(), nan.copy()\n", "\n", " Cs2_1_list = []; Cs2_2_list = []; Cs2PR_list = []\n", " B1_list = []; B2_list = []\n", "\n", " for f in stat_files[sl]:\n", " with np.load(f) as d:\n", " Cs2_1_list.append(d['Cs2_1'])\n", " Cs2_2_list.append(d['Cs2_2'])\n", " Cs2PR_list.append(d['Cs2PrRatio'])\n", " B1_list.append(d['Beta1'])\n", " B2_list.append(d['Beta2'])\n", "\n", " return (\n", " np.mean(Cs2_1_list, axis=0),\n", " np.mean(Cs2_2_list, axis=0),\n", " np.mean(Cs2PR_list, axis=0),\n", " np.mean(B1_list, axis=0),\n", " np.mean(B2_list, axis=0),\n", " )\n" ], "outputs": [], "execution_count": 5 }, { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000014", "metadata": {}, "source": [ "### Available statistics files" ] }, { "cell_type": "code", "id": "gabls1sgsc-0002-4002-8002-000000000015", "metadata": { "ExecuteTime": { "end_time": "2026-06-06T01:16:30.919142Z", "start_time": "2026-06-06T01:16:30.890863Z" } }, "source": [ "def get_stat_files(output_dir):\n", " files = sorted(\n", " glob.glob(str(output_dir / 'ALFA_Statistics_Iteration_*.npz')),\n", " key=lambda x: int(re.search(r'Iteration_(\\d+)', x).group(1))\n", " )\n", " return files\n", "\n", "StatFiles1 = get_stat_files(OutputDir1)\n", "StatFiles2 = get_stat_files(OutputDir2)\n", "StatFiles3 = get_stat_files(OutputDir3)\n", "StatFiles4 = get_stat_files(OutputDir4)\n", "\n", "print(f'64^3 : {len(StatFiles1)} files')\n", "print(f'128^3 : {len(StatFiles2)} files')\n", "print(f'256^3 (SP) : {len(StatFiles3)} files')\n", "print(f'384^3 : {len(StatFiles4)} files')" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "64^3 : 540 files\n", "128^3 : 540 files\n", "256^3 (SP) : 540 files\n", "384^3 : 0 files\n" ] } ], "execution_count": 6 }, { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000016", "metadata": {}, "source": [ "### Temporally averaged profiles" ] }, { "cell_type": "code", "id": "gabls1sgsc-0002-4002-8002-000000000017", "metadata": { "ExecuteTime": { "end_time": "2026-06-06T01:16:31.031944Z", "start_time": "2026-06-06T01:16:30.924396Z" } }, "source": [ "(Cs2_1_avg_1, Cs2_2_avg_1, Cs2PR_avg_1, B1_avg_1, B2_avg_1) = \\\n", " LoadSGSAverage(StatFiles1, T_start_index, T_end_index, nz_1)\n", "\n", "(Cs2_1_avg_2, Cs2_2_avg_2, Cs2PR_avg_2, B1_avg_2, B2_avg_2) = \\\n", " LoadSGSAverage(StatFiles2, T_start_index, T_end_index, nz_2)\n", "\n", "(Cs2_1_avg_3, Cs2_2_avg_3, Cs2PR_avg_3, B1_avg_3, B2_avg_3) = \\\n", " LoadSGSAverage(StatFiles3, T_start_index, T_end_index, nz_3)\n", "\n", "(Cs2_1_avg_4, Cs2_2_avg_4, Cs2PR_avg_4, B1_avg_4, B2_avg_4) = \\\n", " LoadSGSAverage(StatFiles4, T_start_index, T_end_index, nz_4)\n", "\n", "# SGS coefficient: two averaging conventions\n", "# Method 1: C = PlanarMean(C), then squared for storage \u2192 take sqrt\n", "# Method 2: C = sqrt(PlanarMean(C^2))\n", "Cs_m1_1 = np.sqrt(np.abs(Cs2_1_avg_1)); Cs_m2_1 = np.sqrt(np.abs(Cs2_2_avg_1))\n", "Cs_m1_2 = np.sqrt(np.abs(Cs2_1_avg_2)); Cs_m2_2 = np.sqrt(np.abs(Cs2_2_avg_2))\n", "Cs_m1_3 = np.sqrt(np.abs(Cs2_1_avg_3)); Cs_m2_3 = np.sqrt(np.abs(Cs2_2_avg_3))\n", "Cs_m1_4 = np.sqrt(np.abs(Cs2_1_avg_4)); Cs_m2_4 = np.sqrt(np.abs(Cs2_2_avg_4))\n", "\n", "# PrSGS = Cs2_2 / Cs2PrRatio (NaN where Cs2PrRatio \u2248 0)\n", "_tol = 1e-10\n", "PrSGS_1 = np.where(Cs2PR_avg_1 > _tol, Cs2_2_avg_1 / Cs2PR_avg_1, np.nan)\n", "PrSGS_2 = np.where(Cs2PR_avg_2 > _tol, Cs2_2_avg_2 / Cs2PR_avg_2, np.nan)\n", "PrSGS_3 = np.where(Cs2PR_avg_3 > _tol, Cs2_2_avg_3 / Cs2PR_avg_3, np.nan)\n", "PrSGS_4 = np.where(Cs2PR_avg_4 > _tol, Cs2_2_avg_4 / Cs2PR_avg_4, np.nan)\n", "\n", "print(f'Averaging over {T_end_index - T_start_index + 1} files '\n", " f'({T_start/3600:.1f}\u20131{T_end/3600:.1f} h)')" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "No statistics files available; plotting NaN placeholders for nz=384.\n", "Averaging over 61 files (8.0\u201319.0 h)\n" ] } ], "execution_count": 7 }, { "cell_type": "code", "id": "gabls1sgsc-0002-4002-8002-000000000018", "metadata": { "ExecuteTime": { "end_time": "2026-06-06T01:16:31.044547Z", "start_time": "2026-06-06T01:16:31.033635Z" } }, "source": [ "plt.rcParams.update({\n", " \"text.usetex\": True,\n", " \"font.size\": 14,\n", " \"axes.labelsize\": 16,\n", " \"xtick.labelsize\": 12,\n", " \"ytick.labelsize\": 12\n", "})" ], "outputs": [], "execution_count": 8 }, { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000019", "metadata": {}, "source": [ "## SGS Model Coefficient\n", "\n", "For SM variants (LASDD-SM, LAD-SM) the coefficient is the Smagorinsky coefficient $C_s$; for WL variants (LASDD-WL, LAD-WL) it is the Wong-Lilly SGS coefficient $C$. Two planar-averaging conventions are shown:\n", "- **Method 1** (left): $C = \\langle C \\rangle_{xy}$ \u2014 planar mean of the pointwise field.\n", "- **Method 2** (right): $C = \\sqrt{\\langle C^2 \\rangle_{xy}}$ \u2014 root of the planar mean of $C^2$.\n", "\n", "By Jensen's inequality, Method 2 $\\geq$ Method 1." ] }, { "cell_type": "code", "id": "gabls1sgsc-0002-4002-8002-000000000020", "metadata": { "ExecuteTime": { "end_time": "2026-06-06T01:16:31.423718Z", "start_time": "2026-06-06T01:16:31.052602Z" } }, "source": [ "fig, axs = plt.subplots(1, 2, figsize=(10, 5), constrained_layout=True)\n", "\n", "_coeff_sym = r'C_s' if optSGS in [1, 3] else r'C'\n", "_coeff_name = 'Smagorinsky' if optSGS in [1, 3] else 'Wong-Lilly SGS'\n", "\n", "for lbl, Cs_m1, Cs_m2, z in [\n", " ('64x64x64', Cs_m1_1, Cs_m2_1, z_1),\n", " ('128x128x128', Cs_m1_2, Cs_m2_2, z_2),\n", " ('256x256x256', Cs_m1_3, Cs_m2_3, z_3),\n", " ('384x384x384', Cs_m1_4, Cs_m2_4, z_4),\n", "]:\n", " style = run_styles[lbl]\n", " axs[0].plot(Cs_m1, z, color=style['color'], linestyle=style['linestyle'], linewidth=2, label=lbl)\n", " axs[1].plot(Cs_m2, z, color=style['color'], linestyle=style['linestyle'], linewidth=2, label=lbl)\n", "\n", "axs[0].set_xlabel(rf\"${_coeff_sym} = \\langle {_coeff_sym} \\rangle_{{xy}}$\")\n", "axs[0].set_ylabel(r\"$z$ (m)\")\n", "axs[0].set_title(\"Method 1\")\n", "\n", "axs[1].set_xlabel(rf\"${_coeff_sym} = \\sqrt{{\\langle {_coeff_sym}^2 \\rangle_{{xy}}}}$\")\n", "axs[1].set_ylabel(r\"$z$ (m)\")\n", "axs[1].set_title(\"Method 2\")\n", "\n", "for ax in axs:\n", " ax.set_ylim(0, z_damping)\n", " ax.grid()\n", " ax.legend(frameon=False)\n", "\n", "fig.suptitle(f\"SGS Model Coefficient (8--9 h average): {_coeff_name} ({sgs_names[optSGS]} model)\", fontsize=18)\n", "plt.show()" ], "outputs": [ { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 9 }, { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000021", "metadata": {}, "source": [ "## SGS Prandtl Number\n", "\n", "The SGS Prandtl number is derived from the stored $\\langle C^2 \\rangle_{xy}$ and $\\langle C^2/\\mathrm{Pr}_\\mathrm{SGS} \\rangle_{xy}$ profiles:\n", "$$\\mathrm{Pr}_\\mathrm{SGS}(z) = \\frac{\\langle C^2 \\rangle_{xy}}{\\langle C^2/\\mathrm{Pr}_\\mathrm{SGS} \\rangle_{xy}}$$\n", "where $\\langle C^2 \\rangle_{xy}$ is Method 2 (root-mean-square planar average). Both numerator and denominator are planar means of pointwise 3D fields, making their ratio consistent. Points where $\\langle C^2/\\mathrm{Pr}_\\mathrm{SGS} \\rangle_{xy} < 10^{-10}$ or $\\mathrm{Pr}_\\mathrm{SGS} > \\mathrm{Pr}_{\\mathrm{SGS},\\mathrm{max}}$ are masked." ] }, { "cell_type": "code", "id": "gabls1sgsc-0002-4002-8002-000000000022", "metadata": { "ExecuteTime": { "end_time": "2026-06-06T01:16:31.573710Z", "start_time": "2026-06-06T01:16:31.425142Z" } }, "source": [ "fig, ax = plt.subplots(figsize=(5, 6), constrained_layout=True)\n", "\n", "PrSGS_xlim = 2.0 # adjust if needed\n", "\n", "for lbl, PrSGS, z in [\n", " ('64x64x64', PrSGS_1, z_1),\n", " ('128x128x128', PrSGS_2, z_2),\n", " ('256x256x256', PrSGS_3, z_3),\n", " ('384x384x384', PrSGS_4, z_4),\n", "]:\n", " style = run_styles[lbl]\n", " mask = (z <= z_damping) & (PrSGS <= PrSGS_xlim)\n", " ax.plot(PrSGS[mask], z[mask], color=style['color'], linestyle=style['linestyle'], linewidth=2, label=lbl)\n", "\n", "ax.set_xlabel(r\"$\\mathrm{Pr}_\\mathrm{SGS}$\")\n", "ax.set_ylabel(r\"$z$ (m)\")\n", "ax.set_xlim(0, PrSGS_xlim)\n", "ax.set_ylim(0, z_damping)\n", "ax.grid()\n", "ax.legend(frameon=False)\n", "\n", "fig.suptitle(f\"SGS Prandtl Number (8--9 h average): {sgs_names[optSGS]} model\", fontsize=18)\n", "plt.show()" ], "outputs": [ { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 10 }, { "cell_type": "markdown", "id": "gabls1sgsc-0002-4002-8002-000000000023", "metadata": {}, "source": [ "## Scale-dependence Parameters\n", "\n", "The scale-dependence parameters $\\beta_1$ (momentum) and $\\beta_2$ (scalar) characterize how the dynamic coefficient varies across filter scales. Values near unity indicate weak scale dependence; departures signal the model adapting to local turbulence structure." ] }, { "cell_type": "code", "id": "gabls1sgsc-0002-4002-8002-000000000024", "metadata": { "ExecuteTime": { "end_time": "2026-06-06T01:16:31.770471Z", "start_time": "2026-06-06T01:16:31.579703Z" } }, "source": [ "fig, axs = plt.subplots(1, 2, figsize=(10, 5), constrained_layout=True)\n", "\n", "for lbl, B1, B2, z in [\n", " ('64x64x64', B1_avg_1, B2_avg_1, z_1),\n", " ('128x128x128', B1_avg_2, B2_avg_2, z_2),\n", " ('256x256x256', B1_avg_3, B2_avg_3, z_3),\n", " ('384x384x384', B1_avg_4, B2_avg_4, z_4),\n", "]:\n", " style = run_styles[lbl]\n", " axs[0].plot(B1, z, color=style['color'], linestyle=style['linestyle'], linewidth=2, label=lbl)\n", " axs[1].plot(B2, z, color=style['color'], linestyle=style['linestyle'], linewidth=2, label=lbl)\n", "\n", "axs[0].set_xlabel(r\"$\\beta_1$ (momentum)\")\n", "axs[0].set_ylabel(r\"$z$ (m)\")\n", "axs[0].set_title(r\"Momentum Scale-dependence ($\\beta_1$)\")\n", "\n", "axs[1].set_xlabel(r\"$\\beta_2$ (scalar)\")\n", "axs[1].set_ylabel(r\"$z$ (m)\")\n", "axs[1].set_title(r\"Scalar Scale-dependence ($\\beta_2$)\")\n", "\n", "for ax in axs:\n", " ax.set_ylim(0, z_damping)\n", " ax.grid()\n", " ax.legend(frameon=False)\n", "\n", "fig.suptitle(f\"Scale-dependence Parameters (8--9 h average): {sgs_names[optSGS]} model\", fontsize=18)\n", "plt.show()" ], "outputs": [ { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 11 } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 5 }