Pressure correction equation fix (jorgensd#196)

jorgensd · web-flow · commit 552bfaa99d82 · 2024-09-26T11:32:20.000+02:00
diff --git a/chapter2/ns_code2.ipynb b/chapter2/ns_code2.ipynb
@@ -391,7 +391,7 @@
     "where we have used the two previous time steps in the temporal derivative for the velocity, and compute the pressure staggered in time, at the time between the previous and current solution. The second step becomes\n",
     "\n",
     "$$\n",
-    "\\nabla \\phi = -\\frac{\\rho}{\\delta t} \\nabla \\cdot u^* \\qquad\\text{in } \\Omega,\n",
+    "\\nabla^2 \\phi = \\frac{\\rho}{\\delta t} \\nabla \\cdot u^* \\qquad\\text{in } \\Omega,\n",
     "$$\n",
     "\n",
     "$$\n",
diff --git a/chapter2/ns_code2.py b/chapter2/ns_code2.py
@@ -252,7 +252,7 @@ def __call__(self, x):
 # where we have used the two previous time steps in the temporal derivative for the velocity, and compute the pressure staggered in time, at the time between the previous and current solution. The second step becomes
 #
 # $$
-# \nabla \phi = -\frac{\rho}{\delta t} \nabla \cdot u^* \qquad\text{in } \Omega,
+# \nabla^2 \phi = \frac{\rho}{\delta t} \nabla \cdot u^* \qquad\text{in } \Omega,
 # $$
 #
 # $$

Original file line number	Diff line number	Diff line change
`@@ -252,7 +252,7 @@ def __call__(self, x):`
`252`	`252`	`# where we have used the two previous time steps in the temporal derivative for the velocity, and compute the pressure staggered in time, at the time between the previous and current solution. The second step becomes`
`253`	`253`	`#`
`254`	`254`	`# $$`
`255`		`-# \nabla \phi = -\frac{\rho}{\delta t} \nabla \cdot u^* \qquad\text{in } \Omega,`
	`255`	`+# \nabla^2 \phi = \frac{\rho}{\delta t} \nabla \cdot u^* \qquad\text{in } \Omega,`
`256`	`256`	`# $$`
`257`	`257`	`#`
`258`	`258`	`# $$`