TY - JOUR
T1 - A gas-kinetic scheme for shallow-water equations with source terms
AU - Tang, Huazhong
AU - Tang, Tao
AU - Xu, Kun
PY - 2004/5
Y1 - 2004/5
N2 - In this paper, the Kinetic Flux Vector Splitting (KFVS) scheme is extended to solving the shallow water equations with source terms. To develop a well-balanced scheme between the source term and the flow convection, the source term effect is accounted in the flux evaluation across cell interfaces. This leads to a modified gas-kinetic scheme with particular application to the shallow water equations with bottom topography. Numerical experiments show better resolution of the unsteady solution than conventional finite difference method and KFVS method with little additional cost. Moreover, some positivity properties of the gas-kinetic scheme is established.
AB - In this paper, the Kinetic Flux Vector Splitting (KFVS) scheme is extended to solving the shallow water equations with source terms. To develop a well-balanced scheme between the source term and the flow convection, the source term effect is accounted in the flux evaluation across cell interfaces. This leads to a modified gas-kinetic scheme with particular application to the shallow water equations with bottom topography. Numerical experiments show better resolution of the unsteady solution than conventional finite difference method and KFVS method with little additional cost. Moreover, some positivity properties of the gas-kinetic scheme is established.
KW - Gas-kinetic schemes
KW - Shallow water equations
KW - Source terms
UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000222068500001
UR - https://openalex.org/W1994363333
UR - https://www.scopus.com/pages/publications/2942563889
U2 - 10.1007/s00033-003-1119-7
DO - 10.1007/s00033-003-1119-7
M3 - Journal Article
SN - 0044-2275
VL - 55
SP - 365
EP - 382
JO - Zeitschrift fur Angewandte Mathematik und Physik
JF - Zeitschrift fur Angewandte Mathematik und Physik
IS - 3
ER -