MSMoD08
Numerical methods for compressible multiphase flows  Part I of VI
For Part II, see MSMoE08
For Part III, see MSWeE47
For Part IV, see MSThBC47
For Part V, see MSThD47
For Part VI, see MSThE47
Date: August 10
Time: 13:3015:30
Room: 202B
(Note: Click title to show the abstract.)
Organizer:
Deng, Xiaolong (Beijing Computational Sci. Research Center)
Wei, Suhua (Inst. of Applied Physics & Computational Mathematics)
Tian, Baolin (Insitute of Applied Physics & Computational Mathematics)
Tiegang, Liu (Beihang Univ.)
Sussman, Mark (Florida State Univ.)
Wang, Shuanghu (IAPCM)
Abstract: Compressible multiphase flows appear in many natural phenomena, and are very important in many applications, including space science, aerospace engineering, energy, homeland security, etc. Numerical calculation is a key for understanding many related problems. More and more numerical methods are being developed and improved. In this minisymposium, novel numerical methods will be presented to show the progress in the area of compressible multiphase flows, including interface capturing/tracking methods, phase change calculations, mixing methods, fluidstructure interaction methods, multiphysics calculations, adaptive mesh refinement, and high performance computing.
MSMoD081
13:3014:00
Smoothed particle hydrodynamics for multiphase flows
Liu, Moubin (Peking Univ.)
Abstract: In this paper, an improved SPH model for multiphase flows with complex interfaces and large density differences is developed. The multiphase SPH model is based on the assumption of pressure continuity over the interfaces and avoids directly using the information of neighboring particlesĄŻ densities or masses in solving governing equations. In order to improve computational accuracy and to obtain smooth pressure fields, a corrected density reinitialization is applied. A coupled dynamic solid boundary treatment (SBT) is implemented both to reduce numerical oscillations and to prevent unphysical particle penetration in the boundary area. The density correction and coupled dynamics SBT algorithms are modified to adapt to the density discontinuity on fluid interfaces in multiphase simulation. A cutoff value of the particle density is set to avoid negative pressure, which can lead to severe numerical difficulties and may even terminate the simulations. Three representative numerical examples, including a RayleighTaylor instability test, a nonBoussinesq problem and a dam breaking simulation, are presented and compared with analytical results or experimental data. It is demonstrated that the present SPH model is capable of modeling complex multiphase flows with large interfacial deformations and density ratios.
MSMoD082
14:0014:30
A Symmetry Preserving SupportOperators Diffusion Discretization Scheme in ThreeDimensional Cartesian Geometry
Zhang, Mingyu (Inst. of Applied Physics & Computational Mathematics)
Abstract: It is one of the important issues in highdimensional, twodimensional (2D) or threedimensional (3D), Cartesian geometry to preserve perfect onedimensional (1D) spherical symmetry. Following the idea of Caramana et al. [2], a symmetry preserving supportoperators diffusion discretization scheme in 3D Cartesian geometry is developed. Spherically symmetrical flux is realized in numerical simulation of 1D symmetrical problem in 3D Cartesian geometry. Some numerical tests are given to prove the developed symmetrical schemes.
MSMoD083
14:3015:00
Preventing numerical oscillations in the fluxsplit based finite difference method for compressible flows with discontinuities
He, Zhiwei (Inst. of Applied Physics & Computational Mathematics)
Zhang, Yousheng (Inst. of Applied Physics & Computational Mathematics)
Tian, Baolin (Insitute of Applied Physics & Computational Mathematics)
Xinliang, Li (Inst. of Mechanics,cas)
Li, Li (Inst. of Mechanics,cas)
Abstract: Numerical oscillations by pointwise flux vector splitting (FVS) and componentwise nonlinear difference discretization of convection terms are revealed and prevented in compressible flows with discontinuities, where pressure and velocity oscillations can be induced by either one of the two operations. Two practicable principles are proposed to prevent the oscillations. Numerical tests confirm the effectiveness,robustness and low computation cost of our proposed method.
MSMoD084
15:0015:30
A HighOrder Accurate Algorithm for Diffusion Equations with Discontinuous Diffusion Coefficients on Distorted Meshes
Shuhong, Song (Inst. of Applied Physics & Computational Mathematics)
Abstract: Among the methods with cellcentered unknowns on large distortion meshes, most adopt the vertex unknowns indirectly to discretize diffusion equations such that their accuracy is ultimately determined by he approximation to the vertex unknowns. In this paper, taking advantage of the highorder accuracy of the ``twinfitting" method
especially on discontinuous diffusion coefficients, a new treatment for the vertex unknowns is developed to apply to a ninepoint scheme. Numerical experiments show that the new ninepoint
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Footnote: Code: TypeDateTimeRoom No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:309:30, B=10:0011:00, C=11:1012:10, BC=10:0012:10, D=13:3015:30, E=16:0018:00, F=19:0020:00, G=12:1013:30, H=15:3016:00
Room No.: TBA
