论文信息 - Centered prescribed-order approximations with structured grids and resulting finite-volume schemes

Centered prescribed-order approximations with structured grids and resulting finite-volume schemes

A novel arbitrary-order discretization technique based on linear combinations of centered compact operators is outlined. Using finite-volume principle, prescribed-order differencing and interpolation formulas as well as multioperators difference schemes are constructed. Numerical examples showing that the schemes have potential for being extremely accurate are presented.

A. I. Tolstykh

[1] Stanley Osher,et al. Nonoscillatory high order accurate self-similar maximum principle satisfying shock capturing schemes I , 1996 .

[2] A. Ecer,et al. Parallel Computational Fluid Dynamics, '91 , 1992 .

[3] A I Tolstykh. High Accuracy Non-Centered Compact Difference Schemes for Fluid Dynamics Applications , 1994 .

[4] A. Tolstykh. MULTIOPERATOR SCHEMES OF ARBITRARY ORDER BASED ON NONCENTERED COMPACT APPROXIMATIONS , 1999 .

[5] A. I. Tolstykh. Multioperator high-order compact upwind methods for CFD parallel calculations , 1997, Parallel CFD.

[6] A. A. Samarskii,et al. The Theory of Difference Schemes , 2001 .