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An Efficient High-Resolution Shock-Capturing Scheme for Multi-Dimensional Flows

机译:一种高效的多维流高分辨率捕获方案

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摘要

Many problems at the forefront of theoretical astrophysics require a treatment of dynamical fluid behavior. We present an efficient high-resolution shock-capturing hydrody-namic scheme designed to study such phenomena. We have implemented a weighted, essentially non-oscillatory (WENO) scheme to fifth order accuracy in space. HLLE approximate Riemann solver is used for the flux computation at cell interface, which does not require spectral decomposition into characteristic waves and so is computationally friendly. For time integration we apply a third order total variation diminishing (TVD) Runge-Kutta scheme. Extensive testing and comparison with schemes that require characteristic decomposition are carried out demonstrating the ability of our scheme to address challenging open questions in astrophysics.
机译:理论天体物理学最前沿的许多问题都需要对动力流体行为进行处理。我们提出了一种有效的高分辨率震颤捕获水动力系统,旨在研究这种现象。我们已将加权的,基本上无振荡的(WENO)方案实现为空间的五阶精度。 HLLE近似Riemann求解器用于单元界面处的通量计算,它不需要将光谱分解为特征波,因此计算友好。对于时间积分,我们应用三阶总变化量递减(TVD)Runge-Kutta方案。进行了广泛的测试,并与需要特性分解的方案进行了比较,证明了我们的方案能够解决天体物理学中具有挑战性的开放性问题。

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