CAJ | 학술논문

发展一套采用三阶WENO格式和混合GLM方法的理想磁流体数值方法，并对激波与矩形密度界面相互作用进行数值研究。通过圆极化阿尔芬波和旋转激波管问题对数值方法的稳定性和可靠性进行验证。在入射激波马赫数为10，界面内外气体密度比为10的情况，对比不同磁场中矩形密度界面的演变过程。结果表明，磁场能够减少界面上涡量的生成从而抑制界面不稳定性，并且磁场对界面的加速过程以及界面内外气体混合率有影响；而界面的存在将会使波后部分区域磁场增强；由于尖角的存在，矩形界面的发展与圆形界面不同。
발전일투채용삼계WENO격식화혼합GLM방법적이상자류체수치방법，병대격파여구형밀도계면상호작용진행수치연구。통과원겁화아이분파화선전격파관문제대수치방법적은정성화가고성진행험증。재입사격파마혁수위10，계면내외기체밀도비위10적정황，대비불동자장중구형밀도계면적연변과정。결과표명，자장능구감소계면상와량적생성종이억제계면불은정성，병차자장대계면적가속과정이급계면내외기체혼합솔유영향；이계면적존재장회사파후부분구역자장증강；유우첨각적존재，구형계면적발전여원형계면불동。
A magnetohydrodynamic simulation method is developed for shock interacting with rectangular density interface in a magnetic field. The method employs 3rd WENO scheme and mixed GLM method. With circular polarized Alfvén wave propagation test and rotated shock tube problem, the method is validated. Under conditions that Mach number of shock is 10 and ratio of density of cloud to ambient gas is 10, evolutions of shocked interface in different initial orientations and strengths of magnetic field are compared. It shows that magnetic field decreases vorticity formed on surface and reduces growth of hydrodynamic instabilities; Field influences acceleration and mixing rate of cloud;And field is greatly amplified in some regions behind shock when cloud is presented. It is also found that, due to sharp corner, evolution of rectangular interface is different from circular one.