報告題目：Bound- and Positivity-Preserving Path-Conservative Central-Upwind AWENO Scheme for the Five-Equation Model of Compressible Two-Component Flows

報 告 人：王保山

報告時間：12月31日10:20

報告地點：蓮花街校區(qū)惟德樓315會議室

報告人照片：

報告人簡介：王保山，中國海洋大學數(shù)學科學學院副教授，2022年博士畢業(yè)于中國海洋大學，師從Wai Sun Don教授，主要從事雙曲守恒律方程的高精度數(shù)值方法研究，在SIAM Journal on Scientific Computing、Journal of Computational Physics等期刊上發(fā)表30余篇學術論文，博士學位論文《保物理約束的高精度WENO格式》獲評2023年度山東省優(yōu)秀博士學位論文，主持兩項國家級科研項目，參與兩項國家重大科技專項項目，參與Journal of Computational Physics等期刊審稿40余次。

報告內(nèi)容簡介：In this talk, we propose a fifth-order finite-difference bound- and positivity-preserving (BP) path-conservative central-upwind alternative weighted essentially non-oscillatory (PCCU-AWENO) scheme for the five-equation model of compressible two-component flows. The proposed scheme is capable of maintaining the equilibrium near moving material interfaces, ensuring that velocity and pressure remain continuous at these interfaces. In addition, the scheme is designed to preserve the bound of volume fraction and positivity of density and internal energy: these three properties are absolutely essential for robustness of the proposed scheme. We first prove the BP property of the first-order PCCU scheme under a sufficient CFL condition and then introduce high-order BP limiters. The performance of the introduced PCCU-AWENO scheme is demonstrated on several one- and two-dimensional challenging numerical examples.

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數(shù)學與統(tǒng)計學院
2024年12月27日