@Article{CiCP-24-774,
author = {Jin Qi, Baolin Tian and Jiequan Li},
title = {A High-Resolution Cell-Centered Lagrangian Method with a Vorticity-Based Adaptive Nodal Solver for Two-Dimensional Compressible Euler Equations},
journal = {Communications in Computational Physics},
year = {2018},
volume = {24},
number = {3},
pages = {774--790},
abstract = {<p style="text-align: justify;">In this work, a second-order high-resolution LAgrangian method with a
Vorticity-based Adaptive Nodal Solver (LAVANS) is proposed to overcome the numerical
difficulty of traditional Lagrangian methods for the simulation of multidimensional
flows. The work mainly include three aspects to improve the performance
of the traditional CAVEAT-type cell-centered Lagrangian method. First, a vorticity-based
adaptive least-squares method for vertex velocity computation is proposed to
suppress nonphysical mesh distortion caused by the traditional five-point-stencil least-squares
method. Second, a simple interface flux modification is proposed such that the
geometry conservation law is satisfied. Third, a generalized Riemann problem solver
is employed in the LAVANS scheme to achieve one-step time-space second-order accuracy.
Some typical benchmark numerical tests validate the performance of the LAVANS
scheme.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0068},
url = {http://global-sci.org/intro/article_detail/cicp/12280.html}
}