From 7a0f02aed8603347678ef3ba1942036c4fe03451 Mon Sep 17 00:00:00 2001 From: Key1 <70900093+KeyvanNajarian@users.noreply.github.com> Date: Thu, 18 Nov 2021 17:08:33 +0100 Subject: [PATCH] Update 02_cfd.ipynb --- book/content/modelling/02_fluids/02_cfd.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/book/content/modelling/02_fluids/02_cfd.ipynb b/book/content/modelling/02_fluids/02_cfd.ipynb index c3c44536..75ee5584 100644 --- a/book/content/modelling/02_fluids/02_cfd.ipynb +++ b/book/content/modelling/02_fluids/02_cfd.ipynb @@ -18031,7 +18031,7 @@ "\\mf u^{n+1} = u^n + \\Delta t \\cdot rhs^n + \\mathcal{O}(\\Delta t)\\quad .\n", "$$ (eq-cfd-time-forward-euler)\n", "\n", - "The equation {eq}`eq-cfd-time-forward-euler` is the explicit / forward Euler method. It is graphicaly demonstrated in {numref}`fig-fluid-time-explicit`.\n", + "The equation {eq}`eq-cfd-time-forward-euler` is the explicit / forward Euler method. It is graphically demonstrated in {numref}`fig-fluid-time-explicit`.\n", "\n", ":::{figure-md} fig-fluid-time-explicit\n", "\n", @@ -18050,7 +18050,7 @@ "source": [ "### Implicit Euler Method\n", "\n", - "The evaluation of the derivative in {eq}`eq-cfd-time-forward-euler` at $\\mf t_n$ is just one possibility. In the same mannor as the directional spatial derivatives, the evaluation can be done at $\\mf t_{n+1}$ and leads to the folowing iteration formula:\n", + "The evaluation of the derivative in {eq}`eq-cfd-time-forward-euler` at $\\mf t_n$ is just one possibility. In the same manner as the directional spatial derivatives, the evaluation can be done at $\\mf t_{n+1}$ and leads to the folowing iteration formula:\n", "\n", "$$\n", "\\mf u^{n+1} = u^n + \\Delta t \\cdot rhs^{n+1} + \\mathcal{O}(\\Delta t)\\quad .\n",