A residual-based compact scheme of optimal order for hyperbolic problems
A new fourth-order dissipative scheme on a compact 3 x 3 stencil is presented for solving 2D hyperbolic problems. It belongs to the family of previously developed residual-based compact schemes and can be considered as optimal since it offers the maximum achievable order of accuracy on the 3 x 3-point stencil. The computation of 2D scalar problems demonstrates the excellent accuracy and efficiency properties offered by this new RBC scheme with respect to existing second- and third-order versions. (C) 2010 Published by Elsevier Ltd.
residual-based compact compact schemes implicit schemes 20 hyperbolic problems