Moment limiter in DG method.

jinwon park

I am attempting to achieve the high-order accuracy in DG spatial discretization. Even though I increased the order of polynomials, I could not achieve the higher than the 2nd order accuracy in space. In the literature, it is natural in DG method with the minmod slope limiter. To remedy the loss of accuracy, someone recommended the use of a moment limiter which is similar to the minmod slope limiter. I would like to ask anyone how to implement this limiter or where I can find a good text or reference.

Thanks for reading.