From bece64232b05f4e9256e50e02575061cef0be5df Mon Sep 17 00:00:00 2001 From: Patrick Jaap Date: Thu, 10 Oct 2024 11:58:29 +0200 Subject: [PATCH] Whitespace cleanup --- examples/Example240_FiniteElementVelocities.jl | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/examples/Example240_FiniteElementVelocities.jl b/examples/Example240_FiniteElementVelocities.jl index eefe41d32..a6ad1f46f 100644 --- a/examples/Example240_FiniteElementVelocities.jl +++ b/examples/Example240_FiniteElementVelocities.jl @@ -10,16 +10,16 @@ Solve the equation ``` in $\Omega=(0,L)\times (0,H)$ with a homogeneous Neumann boundary condition at $x=0$, an outflow boundary condition at $x=L$, a Dirichlet inflow -condition at $y=H$, and a homogeneous Dirichlet boundary condition +condition at $y=H$, and a homogeneous Dirichlet boundary condition on part of $y=0$. -The analytical expression for the velocity field is $v(x,y)=(x^2,-2xy)$ in +The analytical expression for the velocity field is $v(x,y)=(x^2,-2xy)$ in cartesian coordinates and $v(r,z)=(r^2,-3rz)$ in cylindrical coordinates, i.e. -where the system is solved on $\Omega$ to represent a solution on the solid +where the system is solved on $\Omega$ to represent a solution on the solid of revolution arising from rotating $\Omega$ around $x=0$. We compute the solution $u$ in both coordinate systems where $v$ is given -as an analytical expression and as a finite element interpolation onto +as an analytical expression and as a finite element interpolation onto the grid of $\Omega$. =#