High Resolution Nonoscillatory Central Difference Schemes for the 2D Euler Equations via Artificial Compression
We suggest to augment second-order, nonoscillatory, central difference schemes with Harten’s artificial compression method (ACM) to sharpen the resolution of linear fields. ACM employs a partial characteristic decomposition to single out the linear fields, for which a steeper reconstruction is applied. The remarkable power of this technique is demonstrated for three test problems for the Euler equations from gas dynamics, and its dangers are pointed out.
Unable to display preview. Download preview PDF.
- 2.Nessyahu H., Tadmor E. (1990) Non-oscillatory central differencing for hyperbolic conservation laws. J. Comput. Phys. 87, 408-463Google Scholar
- 4.Arminjon P., Stanescu D., Viallon M.—C. (1995) A two-dimensional finite volume extension of the Lax—Friedrichs and Nessyahu—Tadmor schemes for compressible flows. In: Hafez M., Oshima K (Eds.) Proc. 6th. Int. Symp. on CFD, Lake Tahoe, Vol. IV, 7 - 14Google Scholar
- 6.Lie K.—A., Noelle S. (2000) Remarks on high-resolution non-oscillatory central schemes for multi-dimensional systems of conservation laws. Part I: An improved quadrature rule for the flux-computation. Preprint no. 679, Sonderforshugsbereich 256, Rheinische Friedrich—Wilhelms—Unversitat, Bonn, Germany.Google Scholar
- 8.Woodward P., Colella P. (1984) The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54, 115-173Google Scholar