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首页> 外文期刊>European Journal of Mechanics, B. Fluids >A novel GEEC (Geometry, Energy, and Entropy Compatible) procedure applied to a staggered direct-ALE scheme for hydrodynamics
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A novel GEEC (Geometry, Energy, and Entropy Compatible) procedure applied to a staggered direct-ALE scheme for hydrodynamics

机译：应用于流体动力学的交错直接ALE方案的新型GEEC（几何，能量和熵兼容）程序

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摘要

The simulation of transient compressible single-fluid flows, modeled by Euler's classical equation, requires numerical schemes that comply with various stringent physical constraints such as thermodynamic consistency, robustness, and stability when shocks, large volume changes, and transport effects are present. For extreme conditions as encountered in defense applications, the present work introduces a novel generic GEEC (Geometry, Energy, and Entropy Compatible) procedure to derive physics-compatible numerical schemes with the following built-in properties: (i) geometric compatibility whereby volume variations (compressions and expansions) are taken into account consistently with advection relative to the grid; (ii) energetic compatibility whereby total energy is exactly conserved at discrete level for an accurate capture of shock levels and shock velocities, even if solving with primitive variables; and (iii) entropic compatibility whereby compliance with the second law of thermodynamics is ensured (here at least to second-order) - entropy must increase in general and must be conserved for isentropic flows.
机译：由欧拉经典方程建模的瞬态可压缩单流体流动的模拟需要符合各种严格的物理约束的数值方案，例如当存在冲击，大体积变化和运输效果时热力学一致性，鲁棒性和稳定性。对于防御应用中遇到的极端条件，本作工作引入了一种新颖的通用GEEC（几何，能量和熵兼容）程序，以导出具有以下内置属性的物理兼容的数值方案：（i）几何兼容性，其中卷变化（按压和扩展）与相对于网格的平流一致地考虑; （ii）能量兼容性，即使用原始变量求解，即使用原始变量求解冲击水平和冲击速度的离散级别，完全保守了总能量。 （iii）确保符合热力学的第二定律的熵兼容性（此处至少为二阶） - 熵必须一般增加，并且必须为等熵流保守。

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