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Building a Hydrodynamics Code with Kinetic Theory

机译:用动力学理论建立流体力学代码

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We report on the development of a test-particle based kinetic Monte Carlo code for large systems and its application to simulate matter in the continuum regime. Our code combines advantages of the Direct Simulation Monte Carlo and the Point-of-Closest-Approach methods to solve the collision integral of the Boltzmann equation. With that, we achieve a high spatial accuracy in simulations while maintaining computational feasibility when applying a large number of test-particles. The hybrid setup of our approach allows us to study systems which move in and out of the hydrodynamic regime, with low and high particle densities. To demonstrate our code's ability to reproduce hydrodynamic behavior we perform shock wave simulations and focus here on the Sedov blast wave test. The blast wave problem describes the evolution of a spherical expanding shock front and is an important verification problem for codes which are applied in astrophysical simulation, especially for approaches which aim to study core-collapse supernovae.
机译:我们报告了基于测试粒子的大型系统动力学蒙特卡洛代码的开发及其在连续体模型中模拟物质的应用。我们的代码结合了直接模拟蒙特卡洛方法和最接近点方法的优点,以解决玻尔兹曼方程的碰撞积分。这样一来,我们在模拟中实现了很高的空间精度,同时在应用大量测试粒子时仍保持了计算的可行性。我们方法的混合设置使我们能够研究以低密度和高密度进出流体力学状态的系统。为了演示我们的代码重现流体动力行为的能力,我们执行了冲击波模拟,并在此重点介绍了Sedov爆炸波测试。爆炸波问题描述了球形扩展激波锋的演变,是对天体物理模拟中应用的代码(尤其是旨在研究核塌陷超新星的方法)进行验证的重要验证问题。

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