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首页> 外文期刊>Journal of Computational Physics >A high order moment method simulating evaporation and advection of a polydisperse liquid spray
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A high order moment method simulating evaporation and advection of a polydisperse liquid spray

机译：模拟多分散液体喷雾蒸发和对流的高阶矩方法

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In this paper, we tackle the modeling and numerical simulation of sprays and aerosols, that is dilute gas-droplet flows for which polydispersity description is of paramount importance. Starting from a kinetic description for point particles experiencing transport either at the carrier phase velocity for aerosols or at their own velocity for sprays as well as evaporation, we focus on an Eulerian high order moment method in size and consider a system of partial differential equations (PDEs) on a vector of successive integer size moments of order 0 to N, N>. 2, over a compact size interval. There exists a stumbling block for the usual approaches using high order moment methods resolved with high order finite volume methods: the transport algorithm does not preserve the moment space. Indeed, reconstruction of moments by polynomials inside computational cells coupled to the evolution algorithm can create N-dimensional vectors which fail to be moment vectors: it is impossible to find a size distribution for which there are the moments. We thus propose a new approach as well as an algorithm which is second order in space and time with very limited numerical diffusion and allows to accurately describe the advection process and naturally preserves the moment space. The algorithm also leads to a natural coupling with a recently designed algorithm for evaporation which also preserves the moment space; thus polydispersity is accounted for in the evaporation and advection process, very accurately and at a very reasonable computational cost. These modeling and algorithmic tools are referred to as the Eulerian Multi Size Moment (EMSM) model. We show that such an approach is very competitive compared to multi-fluid approaches, where the size phase space is discretized into several sections and low order moment methods are used in each section, as well as with other existing high order moment methods. An accuracy study assesses the order of the method as well as the low level of numerical diffusion on structured meshes. Whereas the extension to unstructured meshes is provided, we focus in this paper on cartesian meshes and two 2D test-cases are presented: Taylor-Green vortices and turbulent free jets, where the accuracy and efficiency of the approach are assessed.
机译：在本文中，我们将对喷雾和气溶胶进行建模和数值模拟，即稀薄的液滴流，其多分散性描述至关重要。从动力学描述点粒子开始以气溶胶的载体相速度或以其自身的速度喷雾以及蒸发来传输，我们着眼于尺寸上的欧拉高阶矩方法并考虑偏微分方程组（ PDE）在连续的整数大小矩量为0到N，N>的向量上。 2，在紧凑的尺寸间隔内。对于使用高阶有限体积方法解析的高阶矩方法的常规方法，存在一个障碍：运输算法不能保留矩空间。确实，通过耦合到演化算法的计算单元内部的多项式对矩进行重构可以创建N维矢量，而这些N维矢量不能成为矩矢量：不可能找到存在矩的尺寸分布。因此，我们提出了一种新的方法以及一种算法，该方法在时间和空间上都是二阶的，数值扩散非常有限，可以准确地描述对流过程并自然地保留矩空间。该算法还与最近设计的蒸发算法自然结合，从而保留了力矩空间。因此，在蒸发和对流过程中非常准确且以合理的计算成本考虑了多分散性。这些建模和算法工具称为欧拉多尺寸矩（EMSM）模型。我们表明，与多流体方法相比，这种方法具有很大的竞争力，在多流体方法中，将尺寸相空间离散为几个部分，并在每个部分中使用低阶矩方法以及其他现有的高阶矩方法。准确性研究评估了方法的顺序以及结构化网格上数值扩散的低水平。尽管提供了对非结构化网格的扩展，但我们在本文中将重点放在笛卡尔网格上，并给出了两个二维测试用例：泰勒-格林涡旋和湍流自由射流，在其中评估了该方法的准确性和效率。

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