In this work,we construct two efficient fully decoupled,linear,unconditionally stable numerical algorithms for the thermally coupled incompressible magnetohydrodynamic equations.Firstly,in order to obtain the desired ...In this work,we construct two efficient fully decoupled,linear,unconditionally stable numerical algorithms for the thermally coupled incompressible magnetohydrodynamic equations.Firstly,in order to obtain the desired algorithm,we introduce a scalar auxiliary variable(SAV)to get a new equivalent system.Secondly,by combining the pressure-correction method and the explicit-implicit method,we perform semi-discrete numerical algorithms of first and second order,respectively.Then,we prove that the obtained algorithms follow an unconditionally stable law in energy,and we provide a detailed implementation process,which we only need to solve a series of linear differential equations with constant coefficients at each time step.More importantly,with some powerful analysis,we give the order of convergence of the errors.Finally,to illustrate theoretical results,some numerical experiments are given.展开更多
帕克太阳探针(Parker Solar Probe,PSP)在太阳附近发现大量磁力线回弯结构,通常还伴随有太阳风速度增加.这些磁力线回弯的产生机制到目前为止有多种解释,其中有代表性的一种是由慢太阳风中的喷流引起的.我们首先对PSP的就地观测数据进...帕克太阳探针(Parker Solar Probe,PSP)在太阳附近发现大量磁力线回弯结构,通常还伴随有太阳风速度增加.这些磁力线回弯的产生机制到目前为止有多种解释,其中有代表性的一种是由慢太阳风中的喷流引起的.我们首先对PSP的就地观测数据进行了统计分析并给出了发生率和空间尺度随径向距离的演化情况,然后使用简化的1.5维磁流体动力学(magnetohydrodynamics,MHD)模型对喷流在太阳风中的演化进行了模拟,其中太阳风被简化为位于黄道面的球对称流.模拟结果表明喷流的确可以导致太阳附近磁力线发生偏转,验证了喷流可以对磁场方向改变有贡献的图景.不过喷流形成的原因还需要进一步研究.展开更多
基金Supported by Research Project Supported by Shanxi Scholarship Council of China(2021-029)Shanxi Provincial International Cooperation Base and Platform Project(202104041101019)Shanxi Province Natural Science Foundation(202203021211129)。
文摘In this work,we construct two efficient fully decoupled,linear,unconditionally stable numerical algorithms for the thermally coupled incompressible magnetohydrodynamic equations.Firstly,in order to obtain the desired algorithm,we introduce a scalar auxiliary variable(SAV)to get a new equivalent system.Secondly,by combining the pressure-correction method and the explicit-implicit method,we perform semi-discrete numerical algorithms of first and second order,respectively.Then,we prove that the obtained algorithms follow an unconditionally stable law in energy,and we provide a detailed implementation process,which we only need to solve a series of linear differential equations with constant coefficients at each time step.More importantly,with some powerful analysis,we give the order of convergence of the errors.Finally,to illustrate theoretical results,some numerical experiments are given.
文摘帕克太阳探针(Parker Solar Probe,PSP)在太阳附近发现大量磁力线回弯结构,通常还伴随有太阳风速度增加.这些磁力线回弯的产生机制到目前为止有多种解释,其中有代表性的一种是由慢太阳风中的喷流引起的.我们首先对PSP的就地观测数据进行了统计分析并给出了发生率和空间尺度随径向距离的演化情况,然后使用简化的1.5维磁流体动力学(magnetohydrodynamics,MHD)模型对喷流在太阳风中的演化进行了模拟,其中太阳风被简化为位于黄道面的球对称流.模拟结果表明喷流的确可以导致太阳附近磁力线发生偏转,验证了喷流可以对磁场方向改变有贡献的图景.不过喷流形成的原因还需要进一步研究.
