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摘要: 求解Riemann问题得到界面接触间断的流动状态,并以此构造带状区域的虚拟流体状态,对于多维问题设计了一种方便有效的算法。同时求解耦合的守恒形式欧拉方程组和非守恒界面捕捉方程,并用Level-Set函数捕捉界面,数值计算采用高分辨率MWENO格式。最后对可压缩多介质流动问题进行了数值模拟。Abstract: Two interface treatment methods are applied to simulate multi-component flows. A simple and robust algorithm is provided for solving Riemann problem in 2-D. At each node of a narrow strip of the interface, Riemann problems are solved using iterative numerical method. Predicted isobaric values and ghost fluid states are provided. Comparing original GFM, this method is robust and effective. Conservative Euler equations and interface capturing equations are solved respectively. Level-set equation is applied to capture interface. Numerical computations are performed with MWENO scheme and compared with the results by -model method, original GFM and modified GFM.
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Key words:
- multi-component fluid interface /
- Riemann problem /
- ghost fluid method /
- -model method /
- MWENO scheme
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Shu C W. Essentially Non-Oscillatory and Weighted Essentially Non-oscillatory Schemes for Hyperbolic Conservation Laws [R]. ICASE Report No. 97-65, NASA/CR-97-206253, 1997. Balsara D, Shu C W. Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy [J]. J Comput Phys, 2000, 160: 405-452. Karni S. Multicomponent Flow Calculations by a Consistent Primitive Algorithm [J]. J Comput Phys, 1994, 112: 31-43. Fedkiw R, AslamT, Merriman B, et al. A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method) [J]. J Comput Phys, 1999, 152: 457-492. Fedkiw R. Coupling an Eulerian Fluid Calculation to a Lagrangian Solid Calculation with the Ghost Fluid Method [J]. J Compt Phys, 2002, 175: 200-224. Caiden R, Fedkiw R, Anderson C. A Numerical Method for Two-Phase Flow Consisting of Separate Compressible and Incompressible Regions [J]. J Comput Phys, 2001, 166: 1-27. Fedkiw R, AslamT, Merriman B, et al. The Ghost Fluid Method for Deflagration and Detonation Discontinuities [J]. J Comput Phys, 1999, 154: 393-427. Shyue K M. An Efficient Shock-Capturing Algorithm for Compressible Multicomponent Problems [J]. J Comput Phys, 1998, 142: 208-242. Liu T G, Khoo B C, Yeo K S. Ghost Fluid Method for Strong Shock Impacting on Material Interface [J]. J Comput Phys, 2003, 190: 651-681. Marquina A, Mulet P. A Flux-Split Algorithm Applied to Conservative Models for Multicomponent Compressible Flows [J]. J Comput Phys, 2003, 185: 120-138.
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