The LimitedLimitedLinear Scheme (Second Order Scheme).
The limitedLimitedLinear scheme is based on the limitedSchemes surface interpolation schemes and calculates a limiter equal to the limited scheme. However, the user can specify a lower and upper bound for the field of interest to avoid non-physical values, compare J.H. Ferziger and M. Perić, and make the solution more stable. The numerical analysis below demonstrates - similar to the limitedLinear scheme - that the applied limiter introduces stability. The calculated values of Φ are always in the range of the defined interval [0:1]. Even though higher values of Φ can be reached, the bound help to improve stability and accuracy. Instead of using the limiteLimitedLinear scheme, one can use the limitedLimitedLinear01 scheme, which is built for fields in which the range of the quantity is defined in the range from zero to one.