TY - JOUR
T1 - A Cell-Centered ALE Method with HLLC-2D Riemann Solver in 2D Cylindrical Geometry
AU - Ren , Jian
AU - Shen , Zhijun
AU - Yan , Wei
AU - Yuan , Guangwei
JO - Journal of Computational Mathematics
VL - 5
SP - 666
EP - 692
PY - 2021
DA - 2021/08
SN - 39
DO - http://doi.org/10.4208/jcm.2005-m2019-0173
UR - https://global-sci.org/intro/article_detail/jcm/19377.html
KW - Riemann solver, ALE, HLLC-2D, Cylindrical geometry.
AB - <p style="text-align: justify;">This paper presents a second-order direct arbitrary Lagrangian Eulerian (ALE) method
for compressible flow in two-dimensional cylindrical geometry. This algorithm has half-face
fluxes and a nodal velocity solver, which can ensure the compatibility between edge fluxes
and the nodal flow intrinsically. In two-dimensional cylindrical geometry, the control volume scheme and the area-weighted scheme are used respectively, which are distinguished
by the discretizations for the source term in the momentum equation. The two-dimensional
second-order extensions of these schemes are constructed by employing the monotone upwind scheme of conservation law (MUSCL) on unstructured meshes. Numerical results are
provided to assess the robustness and accuracy of these new schemes.</p>