An implicit method for two-dimensional hydrodynamics
An implicit method for two-dimensional hydrodynamics
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二维流体动力学的隐式方法
DOI：
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发表时间：
1993
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通讯作者：
E. Livne
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作者：
E. Livne
提出了一种求解可压缩多维流动的隐式方法。该方法，这是强烈面向天体物理学的应用程序，使人们能够模拟非常亚音速流动，通过删除柯朗条件的时间步长。它由一个隐式纯拉格朗日步骤，其次是显式和二阶精度（至少在一维）重映射步骤，这是可选的。当执行重新映射步骤时，时间步长受“粒子交叉时间”限制，否则仅受精度考虑的限制。建议的方法，这是从准确性和效率之间的折衷结果，是非常有效的相对于其他方法。它可以计算恒星演化中的许多多维问题，例如那些由非常亚音速流控制的问题，这些问题无法用现有的显式方法计算。
An implicit method for compressible multidimensional flows is presented. The method, which is strongly oriented toward astrophysical applications, enables one to simulate very subsonic flows by removing the Courant condition upon time steps. It consists of an implicit purely Lagrangian step, followed by an explicit and second-order accurate (at least in one dimension) remapping step, which is optional. When the remapping step is performed the time step is limited by the 'particle crossing time' and otherwise it is limited only by accuracy considerations. The suggested method, which results from a compromise between accuracy and efficiency, is very efficient relative to other methods. It enables the computation of many multidimensional problems in stellar evolution, such as those governed by very subsonic flows, which were not calculable with existing explicit methods.