TY - JOUR
T1 - Fluid simulation using an adaptive semi-discrete central-upwing scheme
AU - Cai, L.
AU - Zhou, J.
AU - Feng, J. H.
AU - Xie, W. X.
PY - 2007/6
Y1 - 2007/6
N2 - In this paper, we propose an adaptive semi-discrete central-upwind scheme on triangular meshes to approximate the solutions of hyperbolic conservation laws in gas dynamics: a local smoothness indicator is implemented to identify discontinuous solution regions; away from the discontinuities, a simple and computationally economical flux is used; near the discontinuities, an accurate but computationally uneconomical flux is used. Several numerical experiments, Euler equations and Kelvin-Helmholtz instability, are successfully simulated. The numerical results show the desired accuracy, high efficiency and robustness of the adaptive scheme.
AB - In this paper, we propose an adaptive semi-discrete central-upwind scheme on triangular meshes to approximate the solutions of hyperbolic conservation laws in gas dynamics: a local smoothness indicator is implemented to identify discontinuous solution regions; away from the discontinuities, a simple and computationally economical flux is used; near the discontinuities, an accurate but computationally uneconomical flux is used. Several numerical experiments, Euler equations and Kelvin-Helmholtz instability, are successfully simulated. The numerical results show the desired accuracy, high efficiency and robustness of the adaptive scheme.
KW - Central-upwind schemes
KW - Fluid simulation
KW - Hyperbolic conservation laws
KW - Local smoothness indicator
KW - Triangulation
UR - https://www.scopus.com/pages/publications/34548756208
U2 - 10.1142/S0219876207001035
DO - 10.1142/S0219876207001035
M3 - 文章
AN - SCOPUS:34548756208
SN - 0219-8762
VL - 4
SP - 283
EP - 297
JO - International Journal of Computational Methods
JF - International Journal of Computational Methods
IS - 2
ER -