三维无网格磁流体力学
3D meshfree magnetohydrodynamics
摘要:
提出了一种将磁场引入光滑粒子流体力学的新方法。详细讨论了从变分原理导出自引力流体动力学方程的方法。非耗散的磁场演化是通过平流所谓的欧拉势来实例化的。这种方法通过构造来强制执行关键的$\nabla\cdot\vec{B}=0$约束。这些最新的发展是在我们的三维,自引力磁流体动力学代码MAGMA。一套测试,证明了这种新方法的优越性相比,以前的实现。
英文摘要:
We describe a new method to include magnetic fields into smooth particle hydrodynamics. The derivation of the self-gravitating hydrodynamics equations from a variational principle is discussed in some detail. The non-dissipative magnetic field evolution is instantiated by advecting so-called Euler potentials. This approach enforces the crucial $\nabla\cdot\vec{B}=0$-constraint by construction. These recent developments are implemented in our three-dimensional, self-gravitating magnetohydrodynamics code MAGMA. A suite of tests is presented that demonstrates the superiority of this new approach in comparison to previous implementations.
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