TY - JOUR
T1 - Multidimensional difference schemes with fourth-order accuracy
AU - Turkel, E.
AU - Abarbanel, S.
AU - Gottlieb, D.
N1 - Funding Information:
* Sponsored in part by the Air Force Office of Scientific Research (NAM) through the European Office of Aerospace Research, AFSC, United States Air Force, under Grant AFOSR-72-2370. +Present address: Courant Institute, New York University, New York, N.Y. 10012. * Sponsored in part by the Office of Scientific Research of the United States Air Force, Grant No. F44620-71-C-0110. Present address: ICASE, NASA Langley Research Center, Hampton, Va. 23665.
PY - 1976/5
Y1 - 1976/5
N2 - An explicit finite-difference algorithm is presented for the solution of quasilinear divergence free multidimensional hyperbolic systems. The method consists of four steps per time level. The resulting scheme is fourth-order accurate in both space and time, though the intermediate steps are only first-order accurate. The family of schemes introduced is dissipative, and hence, suitable for both smooth flows and flows containing shocks. This method is compared, in several numerical examples, with both second-order schemes and others that are fourth order in space, but second order in time.
AB - An explicit finite-difference algorithm is presented for the solution of quasilinear divergence free multidimensional hyperbolic systems. The method consists of four steps per time level. The resulting scheme is fourth-order accurate in both space and time, though the intermediate steps are only first-order accurate. The family of schemes introduced is dissipative, and hence, suitable for both smooth flows and flows containing shocks. This method is compared, in several numerical examples, with both second-order schemes and others that are fourth order in space, but second order in time.
UR - http://www.scopus.com/inward/record.url?scp=33746937705&partnerID=8YFLogxK
U2 - 10.1016/0021-9991(76)90021-8
DO - 10.1016/0021-9991(76)90021-8
M3 - מאמר
AN - SCOPUS:33746937705
VL - 21
SP - 85
EP - 113
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
IS - 1
ER -