RKDG methods with WENO limiters for unsteady cavitating flow

RKDG methods with WENO limiters for unsteady cavitating flow
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带有 WENO 限制器的 RKDG 方法,适用于不稳定空化流

DOI:
10.1016/j.compfluid.2011.12.004
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发表时间:
2012-03
期刊:
Computers & Fluids
影响因子:
--
通讯作者:
Khoo, Boo Cheong
Khoo, Boo Cheong
中科院分区:
其他
文献类型:
--
作者:
Zhu, Jun;Liu, Tiegang;Qiu, Jianxian;Khoo, Boo Cheong

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本文采用有限体积加权基本无振荡(韦诺)重构方法,发展了求解等熵单流体模型下非定常空化流动的Runge-Kutta间断Galerkin(RKDG)方法。为了处理空化流动并抑制空化边界附近可能出现的虚假振荡,TVB限制器被用作检测“故障单元”的指示器,从而利用韦诺重建的RKDG方法的自由度。数值结果表明,这些程序的可行性。
In this paper, we develop the Runge–Kutta discontinuous Galerkin (RKDG) methods with the finite volume weighted essentially non-oscillatory (WENO) reconstruction as limiters to solve for the unsteady cavitating flow under the employment of the isentropic one-fluid model. To treat the cavitating flow and suppress the possible spurious oscillations in the vicinity of the cavitation boundary, the TVB limiter is used as an indicator to detect the “troubled cells” and hence take the advantage of utilizing the WENO reconstruction for the freedoms of the RKDG methods. Numerical results are provided to illustrate the viability of these procedures.
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