Mie-Grüneisen混合模型减小边界差商的重构算子  

A Boundary Variation Diminishing Reconstructed Solver for Mie-Grüneisen Mixture Model

作　　者：吴宗铎[1] 严谨[1,2] 庞建华 孙一方 满庆洋 WU Zongduo;YAN Jin;PANG Jianhua;SUN Yifang;MAN Qingyang(Ship and maritime college,Guangdong Ocean University,Zhanjiang,Guangdong 524088,China;Guangdong Provinical Key Laboratory of Intelligent Equipment for South China Sea Marine Ranching,Guangdong Ocean University,Zhanjiang,Guangdong 524088,China;Shenzhen Institute of Guangdong Ocean University,Intelligence Center of Ocean Engineering,Shenzhen,Guangdong 518055,China;College of Electronic and Information Engineering,Guangdong Ocean University,Zhanjiang,Guangdong 524088,China)

机构地区：[1]广东海洋大学船舶与海运学院,广东湛江524088 [2]广东海洋大学广东省南海海洋牧场智能装备重点实验室,广东湛江524088 [3]广东海洋大学深圳研究院智能海洋工程中心,广东深圳518055 [4]广东海洋大学电子与信息工程学院,广东湛江524088

出　　处：《计算物理》2024年第3期277-286,共10页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(11702066);广东省自然科学基金(2022A1515011562);广东省促进经济高质量发展专项(GDNRC[2021]56;粤融办函[2020]161号)资助项目。

摘　　要：将守恒型单调迎风格式(MUSCL)和双曲正切界面捕捉(THINC)算法组合到一起进行数值重构,并通过重构建立新的算子。重构的算子主要作用是尽可能降低网格的边界差商。在MUSCL和THINC算法下,网格左右边界处的状态可以导出一个优化算法的差商判定机制。再按照这一边界差商优化值最小(BVD)的原则,对MUSCL和THINC进行二选一。在BVD重构算子的作用下,数值断面变得平滑,并且有效地限制振荡。BVD重构算子的计算性能将通过一维和二维数值算例来进行检验。A numerical reconstruction is implemented according to a combination of MUSCL(Monotonic Upstream-Centered Scheme for Conservation Laws)and THINC(Tangent of Hyperbola for Interface Capturing)methods.And a new constructed solver is derived by the combination.The main principle of this reconstruction solver is to keep the variation diminishing of every cell boundary to a low level.And a BVD(Boundary Variation Diminishing)principle is set according to the left and right boundary states in MUSCL method,as well as which in THINC methods.To obey the BVD principle,an alternative choice between the MUSCL and THINC is needed here.Thanks to the BVD solver,the discontinuous section becomes smooth and the oscillation is significantly controlled.The numerical performance of BVD reconstruction is then tested by 1D and 2D numerical examples.

关 键 词：BVD重构 Mie-Grüneisen混合模型 守恒型单调迎风格式 双曲正切界面捕捉 

分 类 号：O359.1[理学—流体力学]