The Limited Scheme (Second Order Scheme).
The Limited scheme (LimitedLinear) calculates a limiter that is applied to the field to avoid non-physical values, compare J.H. Ferziger and M. Perić. The numerical analysis below demonstrates that the applied limiter introduces stability. This can be directly proved, if the Linear scheme is used for the calculation. The calculated values of Φ are in the range of the defined interval [0:1]. Due to numerical errors, it is possible to get values lower or higher than the threshold. The order of magnitude of the error is in the range of 10-e13 (in this example). The comparison of this study shows, that one should prefer the usage of limited schemes rather than the pure Linear scheme. Especially if the mesh is non-orthogonal.