TY - JOUR
T1 - A Direct ALE Multi-Moment Finite Volume Scheme for the Compressible Euler Equations
AU - Peng Jin, Xi Deng & Feng Xiao
JO - Communications in Computational Physics
VL - 5
SP - 1300
EP - 1325
PY - 2018
DA - 2018/06
SN - 24
DO - http://doi.org/10.4208/cicp.OA-2017-0189
UR - https://global-sci.org/intro/article_detail/cicp/12479.html
KW - Compressible Euler equations, multi-moment finite volume method, direct ALE, Roe Riemann solver, HLLC Riemann solver, shock waves.
AB - <p style="text-align: justify;">A direct Arbitrary Lagrangian Eulerian (ALE) method based on multi-moment
finite volume scheme is developed for the Euler equations of compressible gas
in 1D and 2D space. Both the volume integrated average (VIA) and the point values
(PV) at cell vertices, which are used for high-order reconstructions, are treated as the
computational variables and updated simultaneously by numerical formulations in integral
and differential forms respectively. The VIAs of the conservative variables are
solved by a finite volume method in the integral form of the governing equations to
ensure the numerical conservativeness; whereas, the governing equations of differential
form are solved for the PVs of the primitive variables to avoid the additional source
terms generated from moving mesh, which largely simplifies the solution procedure.
Numerical tests in both 1D and 2D are presented to demonstrate the performance of
the proposed ALE scheme. The present multi-moment finite volume formulation consistent
with moving meshes provides a high-order and efficient ALE computational
model for compressible flows.</p>