Third-Order Limiter Functions on Non-equidistant Grids
We have recently developed a third-order limiter function for the reconstruction of cell interface values on equidistant grids (J Sci Comput, 68(2):624–652, 2016). This work now extends the reconstruction technique to non- uniform grids in one space dimension, making it applicable for more elaborate test cases in the context of finite volume schemes.
Numerical examples show that the new limiter function maintains the optimal third-order accuracy on smooth profiles and avoids oscillations in case of discontinuous solutions.
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