A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting
A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting
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DOI：
10.1016/j.jcp.2016.10.068
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发表时间：
2017-02
期刊：
影响因子：
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通讯作者：
D. Xiao;Pan-Mei Yang;F. Fang;J. Xiang;C. Pain;Ionel M. Navon;Min Chen
中科院分区：
文献类型：
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作者：
D. Xiao;Pan-Mei Yang;F. Fang;J. Xiang;C. Pain;Ionel M. Navon;Min Chen
这项工作提出了第一个应用程序的非侵入性的降阶方法来模拟固体与可压缩流体流相互作用，以模拟裂纹的萌生和扩展。在高保真模型中，耦合过程是通过在动量方程中引入源项来实现的，源项代表了固体对流体的作用力。结合莫尔-库仑破坏准则的单一和涂抹裂纹模型被用来模拟裂纹的萌生和扩展。然后将非侵入式降阶方法应用于可压缩流体和裂缝性固体耦合模拟，其中涉及的计算成本在全高保真模拟是高的。本文通过本征正交分解（POD）和径向基函数（RBF）多维插值方法建立了非侵入式降阶模型（NIROM），并通过两个复杂的试验案例（流体中的浸没壁和爆炸试验案例），验证了NIROM在考虑裂隙模型时固体与可压缩流体相互作用的性能。数值模拟结果表明，NIROM能够捕捉到可压缩流体和破裂固体的细节，而CPU时间减少了几个数量级。此外，本文还讨论了在应用POD之前是否从快照中减去均值的问题。结果表明，解决方案的NIROM，没有平均减去之前构建的POD基础，捕捉更多的细节比NIROM与平均减去快照。
This work presents the first application of a non-intrusive reduced order method to model solid interacting with compressible fluid flows to simulate crack initiation and propagation. In the high fidelity model, the coupling process is achieved by introducing a source term into the momentum equation, which represents the effects of forces of the solid on the fluid. A combined single and smeared crack model with the Mohr–Coulomb failure criterion is used to simulate crack initiation and propagation. The non-intrusive reduced order method is then applied to compressible fluid and fractured solid coupled modelling where the computational cost involved in the full high fidelity simulation is high. The non-intrusive reduced order model (NIROM) developed here is constructed through proper orthogonal decomposition (POD) and a radial basis function (RBF) multi-dimensional interpolation method.The performance of the NIROM for solid interacting with compressible fluid flows, in the presence of fracture models, is illustrated by two complex test cases: an immersed wall in a fluid and a blasting test case. The numerical simulation results show that the NIROM is capable of capturing the details of compressible fluids and fractured solids while the CPU time is reduced by several orders of magnitude. In addition, the issue of whether or not to subtract the mean from the snapshots before applying POD is discussed in this paper. It is shown that solutions of the NIROM, without mean subtracted before constructing the POD basis, captured more details than the NIROM with mean subtracted from snapshots.