2.2.1.2. Test cases¶

2.2.1.2.1. Various cases¶

Case	Dimensions & tmax=0.5 s	Domain (in m)	Constant value	IC (t=0)	BC
Case 1	1D	\(0 \leq x \leq 2\)	Advection c = (0.5 0 0) \(m/s\)	\(u =\begin{cases}2 & 0.5 \leq x \leq 1\\1 & else \end{cases}\)	Periodic
Case 2	1D	\(0 \leq x \leq 2\)	Diffusion nu = 0.1 in \(m^2/s\)	\(u =\begin{cases}2 & 0.5 \leq x \leq 1\\1 & else \end{cases}\)	Periodic
Case 3	2D	\(0 \leq x \leq 2\) \(0 \leq y \leq 2\)	Advection c = (0.5 0 0) \(m/s\)	\(u,v =\begin{cases}2 & 0.5 \leq x,y \leq 1\\1 & else \end{cases}\)	Periodic
Case 4	2D	\(0 \leq x \leq 2\) \(0 \leq y \leq 2\)	Diffusion nu = 0.1 in \(m^2/s\)	\(u,v =\begin{cases}2 & 0.5 \leq x,y \leq 1\\1 & else \end{cases}\)	Periodic

2.2.1.2.1.1. Case 1¶

Scheme: Gauss upwind

1.0	1.1

2.2.1.2.1.2. Case 2¶

Scheme: Gauss linear orthogonal

2.0	2.1

2.2.1.2.1.3. Case 3¶

Scheme: Gauss upwind

3.0 (50*50)	3.1 (200*200)

2.2.1.2.1.4. Case 4¶

Scheme: Gauss linear orthogonal

4.0 (20*20)	4.1 (80*80)