updates

Author: msneubauer

_sources/Project_02.md

@@ -6,4 +6,5 @@
 * {doc}`projects/Project_02_AberratedImages`
 * {doc}`projects/Project_02_Radiotherapy`
 * {doc}`projects/Project_02_TailPulsePileupRejection`
-* {doc}`projects/Project_02_BentPipeSurrogate`
+* {doc}`projects/Project_02_BentPipeSurrogate`
+* {doc}`projects/Project_02_Project_02_Wake_Behind_Cylinder`

_sources/projects/Project_02_Wake_Behind_Cylinder.ipynb

@@ -4,15 +4,15 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# Using PINNs to Model the Flow Past a Cylinder"
+    "# Modeling Fluid Flow Past a Cylinder"
    ]
   },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
     "<div>\n",
-    "<img src=\"https://github.com/illinois-mlp/MachineLearningForPhysics/blob/main/img/Project_Cylinder_Wake.jpg?raw=\" width=1200></img>\n",
+    "<img src=\"https://raw.githubusercontent.com/illinois-mlp/MachineLearningForPhysics/main/img/Project_Cylinder_Wake.jpg\" width=800>\n",
     "</div>"
    ]
   },
@@ -49,14 +49,6 @@
     "* https://github.com/maziarraissi/PINNs/blob/master/main/Data/cylinder_nektar_wake.mat"
    ]
   },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "File URLs\n",
-    "* https://github.com/illinois-mlp/MachineLearningForPhysics/blob/main/data/Projects_StudentMade_Data_Repo/cylinder_nektar_wake.mat"
-   ]
-  },
   {
    "cell_type": "markdown",
    "metadata": {},
@@ -159,18 +151,22 @@
     "### <span style=\"color:Purple\">Quick Primer on Relevant Math</span>\n",
     "\n",
     "All dynamics must satsify the $\\textit{Conservation of Momentum}$ and the $\\textit{Conservation of Mass}$. The momentum equations of a 2D incompressible Navier Stokes problem is given by\n",
-    "$$\n",
+    "\n",
+    "$$ \\Large\n",
     "\\begin{aligned}\n",
     "u_t + (u u_x + v u_y) &= -p_x + \\nu (u_{xx} + u_{yy}), \\\\\n",
     "v_t + (u v_x + v v_y) &= -p_y + \\nu (v_{xx} + v_{yy}),\n",
     "\\end{aligned}\n",
     "$$\n",
+    "\n",
     "with $u$ and $v$ referring to the $x$ and $y$ components of velocity, $p$ referring to static gauge pressure, and $\\nu$ referring to kinematic viscosity. The equations are using Einstein notation for partial derivatives.\n",
     "\n",
     "Mass conservation is satisfied as long as this hold true:\n",
-    "$$\n",
+    "\n",
+    "$$ \\Large\n",
     "u = \\psi_y, \\quad v = -\\psi_x,\n",
     "$$\n",
+    "\n",
     "with $\\psi$ being something known as the [Streamfunction](https://eng.libretexts.org/Bookshelves/Civil_Engineering/All_Things_Flow_-_Fluid_Mechanics_for_the_Natural_Sciences_&#40;Smyth&#41;/05%3A_Fluid_Kinematics/5.02%3A_The_Streamfunction).\n",
     "\n",
     "For this problem, set $\\nu = 1$. Pressure ($p$) will only be an output."

_toc.yml

@@ -126,6 +126,7 @@ chapters:
   - file: _sources/projects/Project_02_Radiotherapy
   - file: _sources/projects/Project_02_TailPulsePileupRejection
   - file: _sources/projects/Project_02_BentPipeSurrogate
+  - file: _sources/projects/Project_02_Project_02_Wake_Behind_Cylinder
 - file: _sources/Week_14 # Learning from the Machines
   sections:
   - url: https://docs.google.com/presentation/d/1hkfaU7JVy1f5S8jURZvTY67KRzP7I8zGRf4Zku_bpM4/edit?usp=sharing