TY - JOUR
T1 - Construction of space-time high resolution second order accurate three dimensional MP difference schemes
AU - Wu, Kai Teng
AU - Ning, Jian Guo
PY - 2006
Y1 - 2006
N2 - In this paper, a new Riemann-solver-free class of difference schemes are constructed to scalar nonlinear hyperbolic conservation laws in the three dimension (3D). We proved that these schemes had second order accuracy in space and time, and satisfied maximum principles (marked as MPs) under an appropriate CFL condition. This results in a second-order accuracy, MP schemes a natural extension of the one (two)-dimensional second-order. In addition, these schemes can still be extended to the vector system of conservation law. We yet prove that these schemes satisfied the scalar and vector maximum principle, and in the more general context of systems.
AB - In this paper, a new Riemann-solver-free class of difference schemes are constructed to scalar nonlinear hyperbolic conservation laws in the three dimension (3D). We proved that these schemes had second order accuracy in space and time, and satisfied maximum principles (marked as MPs) under an appropriate CFL condition. This results in a second-order accuracy, MP schemes a natural extension of the one (two)-dimensional second-order. In addition, these schemes can still be extended to the vector system of conservation law. We yet prove that these schemes satisfied the scalar and vector maximum principle, and in the more general context of systems.
KW - Conservation Laws
KW - Hyperbolic Equations
KW - Mp Difference Schemes
KW - Second Order Accurate
KW - Three Dimensional Systems
UR - http://www.scopus.com/inward/record.url?scp=33644873113&partnerID=8YFLogxK
U2 - 10.4028/0-87849-989-x.685
DO - 10.4028/0-87849-989-x.685
M3 - Article
AN - SCOPUS:33644873113
SN - 1013-9826
VL - 306-308 I
SP - 685
EP - 690
JO - Key Engineering Materials
JF - Key Engineering Materials
ER -