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A conservative coupling algorithm between a compressible flow and a rigid body using an Embedded Boundary method

机译:可压缩流与a的保守耦合算法   使用嵌入边界方法的刚体

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摘要

This paper deals with a new solid-fluid coupling algorithm between a rigidbody and an unsteady compressible fluid flow, using an Embedded Boundarymethod. The coupling with a rigid body is a first step towards the couplingwith a Discrete Element method. The flow is computed using a Finite Volumeapproach on a Cartesian grid. The expression of numerical fluxes does notaffect the general coupling algorithm and we use a one-step high-order schemeproposed by Daru and Tenaud [Daru V,Tenaud C., J. Comput. Phys. 2004]. TheEmbedded Boundary method is used to integrate the presence of a solid boundaryin the fluid. The coupling algorithm is totally explicit and ensures exact massconservation and a balance of momentum and energy between the fluid and thesolid. It is shown that the scheme preserves uniform movement of both fluid andsolid and introduces no numerical boundary roughness. The effciency of themethod is demonstrated on challenging one- and two-dimensional benchmarks.
机译:本文使用嵌入式边界方法,研究了刚体与非稳态可压缩流体之间的新型固液耦合算法。与刚性体的连接是采用离散元方法进行连接的第一步。使用笛卡尔网格上的有限体积方法来计算流量。数值通量的表达式不影响一般的耦合算法,我们使用由Daru和Tenaud提出的一步式高阶方案[Daru V,Tenaud C.,J. Comput。物理2004]。嵌入边界方法用于积分流体中固体边界的存在。耦合算法非常明确,可确保精确的质量守恒,并确保流体和固体之间的动量和能量平衡。结果表明,该方案保持了流体和固体的均匀运动,并且没有引入数值边界粗糙度。在具有挑战性的一维和二维基准上证明了该方法的效率。

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