TY - JOUR
T1 - Compact Implicit MacCormack-Type Schemes with High Accuracy
AU - Hixon, R.
AU - Turkel, E.
N1 - Funding Information:
This work was carried out under Grant NCC3-531 from the NASA Glenn Research Center while the first author was in residence at the Institute for Computational Mechanics in Propulsion at the Ohio Aerospace Institute. Dr. L. A. Povinelli was the Technical Monitor.
PY - 2000/2/10
Y1 - 2000/2/10
N2 - In this work, the MacCormack methodology is extended to implicit compact differencing schemes. A prefactorization method is developed which splits the implicit matrix into two independent upper and lower matrices which are easier to invert. Using this method, a new class of high-order accurate compact MacCormack-type schemes is derived. Two fourth-order schemes are described, and results are shown for three linear and nonlinear CAA benchmark problems.
AB - In this work, the MacCormack methodology is extended to implicit compact differencing schemes. A prefactorization method is developed which splits the implicit matrix into two independent upper and lower matrices which are easier to invert. Using this method, a new class of high-order accurate compact MacCormack-type schemes is derived. Two fourth-order schemes are described, and results are shown for three linear and nonlinear CAA benchmark problems.
KW - Compact differencing
KW - MacCormack-type scheme
UR - https://www.scopus.com/pages/publications/0001780864
U2 - 10.1006/jcph.1999.6406
DO - 10.1006/jcph.1999.6406
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AN - SCOPUS:0001780864
SN - 0021-9991
VL - 158
SP - 51
EP - 70
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 1
ER -