论文标题
没有虚拟力的曲线坐标中的流体动力学
Fluid Dynamics in Curvilinear Coordinates without Fictitious Forces
论文作者
论文摘要
曲线线性坐标的使用有时由流体动力学问题的固有几何形状表示，但这将虚拟力引入了破坏严格保守形式的动量方程。如果一个人愿意在三个维度上工作，则可以通过在曲线网状上求解矩形（笛卡尔）动量成分来消除这些虚拟力。时空上流体动力学的彻底几何方法表明了这一点，同时还深入了解了相对论和非宗教案例的更大统一性。
Use of curvilinear coordinates is sometimes indicated by the inherent geometry of a fluid dynamics problem, but this introduces fictitious forces into the momentum equations that spoil strict conservative form. If one is willing to work in three dimensions, these fictitious forces can be eliminated by solving for rectangular (Cartesian) momentum components on a curvilinear mesh. A thoroughly geometric approach to fluid dynamics on spacetime demonstrates this transparently, while also giving insight into a greater unity of the relativistic and nonrelativistic cases than is usually appreciated.
