用高阶WENO格式计算三维二氧化碳三相流
Computation of three-dimensional three-phase flow of carbon dioxide using a high-order WENO scheme
摘要：
发展了一种高阶数值方法，用于三维粘性和无粘多相流的数值模拟，该多相流由均相平衡模型和通用状态方程描述。在这里，我们专注于单相，两相（气-液或气-固）和三相（气-液-固）流动的CO2的热力学性质的计算使用Span-Wagner参考状态方程。控制方程的空间离散的均匀笛卡尔网格上使用有限体积法与五阶加权基本无振荡（WENO）计划和强大的一阶中心（FORCE）通量。采用三阶强稳定性保持龙格-库塔法在时间上对该解进行积分。我们证明了接近五阶收敛的对流扩散和光滑的单相和两相流。定量协议与实验数据获得的直接数值模拟的空气射流从矩形喷嘴流动。定量协议也获得了在两个高度欠膨胀的CO2射流的桶激波的形状和尺寸。
英文摘要：
We have developed a high-order numerical method for the 3D simulation of viscous and inviscid multiphase flow described by a homogeneous equilibrium model and a general equation of state. Here we focus on single-phase, two-phase (gas-liquid or gas-solid) and three-phase (gas-liquid-solid) flow of CO2 whose thermodynamic properties are calculated using the Span-Wagner reference equation of state. The governing equations are spatially discretized on a uniform Cartesian grid using the finite-volume method with a fifth-order weighted essentially non-oscillatory (WENO) scheme and the robust first-order centered (FORCE) flux. The solution is integrated in time using a third-order strong-stability-preserving Runge-Kutta method. We demonstrate close to fifth-order convergence for advection-diffusion and for smooth single- and two-phase flows. Quantitative agreement with experimental data is obtained for a direct numerical simulation of an air jet flowing from a rectangular nozzle. Quantitative agreement is also obtained for the shape and dimensions of the barrel shock in two highly underexpanded CO2 jets.
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