We analyse numerical dissipation and dispersion of the homogeneous flux (HF) and complete flux (CF) schemes, finite volume methods introduced in . To that purpose we derive the modified equation of both schemes . We show that the HF scheme suffers from numerical diffusion for dominant advection, which is effectively removed in the CF scheme. The latter scheme, however, is prone to numerical dispersion. We validate both schemes for a model problem.
|Title of host publication||Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects (FVCA 7, Berlin, Germany, June 2014)|
|Editors||J. Fuhrmann, M. Ohlberger, C. Rohde|
|Place of Publication||Heidelberg|
|Publication status||Published - 2014|
|Name||Springer Proceedings in Mathematics & Statistics|
Thije Boonkkamp, ten, J. H. M., & Anthonissen, M. J. H. (2014). Numerical dissipation and dispersion of the homogeneous and complete flux schemes. In J. Fuhrmann, M. Ohlberger, & C. Rohde (Eds.), Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects (FVCA 7, Berlin, Germany, June 2014) (pp. 117-125). (Springer Proceedings in Mathematics & Statistics; Vol. 77). Springer. https://doi.org/10.1007/978-3-319-05684-5_10