@Article{CiCP-12-1070,
author = {Shamsul Qamar, Munshoor Ahmed and Ishtiaq Ali},
title = {The Space-Time CE/SE Method for Solving Reduced Two-Fluid Flow Model},
journal = {Communications in Computational Physics},
year = {2012},
volume = {12},
number = {4},
pages = {1070--1095},
abstract = {<p style="text-align: justify;">The space-time conservation element and solution element (CE/SE) method
is proposed for solving a conservative interface-capturing reduced model of compressible two-fluid flows. The flow equations are the bulk equations, combined with mass
and energy equations for one of the two fluids. The latter equation contains a source
term for accounting the energy exchange. The one and two-dimensional flow models are numerically investigated in this manuscript. The CE/SE method is capable to
accurately capture the sharp propagating wavefronts of the fluids without excessive
numerical diffusion or spurious oscillations. In contrast to the existing upwind finite
volume schemes, the Riemann solver and reconstruction procedure are not the building block of the suggested method. The method differs from the previous techniques
because of global and local flux conservation in a space-time domain without resorting
to interpolation or extrapolation. In order to reveal the efficiency and performance of
the approach, several numerical test cases are presented. For validation, the results of
the current method are compared with other finite volume schemes.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.210211.011111a},
url = {http://global-sci.org/intro/article_detail/cicp/7325.html}
}