2.2.2.2. Test cases

Note

This section is under review and needs improvement. In next update those issues will be addressed.

Test cases

2.2.2.2.1. 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	\(u =\begin{cases}2 & 0.5 \leq x \leq 1\\1 & else \end{cases}\)	Periodic
Case 2	1D	\(0 \leq x \leq 2\)	Advection-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	\(u,v =\begin{cases}2 & 0.5 \leq x,y \leq 1\\1 & else \end{cases}\)	Periodic
Case 4	2D	\(0 \leq x \leq 2\) \(0 \leq y \leq 2\)	Advection-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

2.2.2.2.1.1. Case 1

Scheme: Gauss upwind

1.0	1.1

2.2.2.2.1.2. Case 2

Scheme: Gauss upwind & Gauss linear orthogonal

2.0	2.1

2.2.2.2.1.3. Case 3

Scheme: Gauss upwind

3.0	3.1

2.2.2.2.1.4. Case 4

Scheme: Gauss upwind & Gauss linear orthogonal

4.0	4.1