Multiphase simulations of nonlinear fluids with SPH

被引:0
作者
Monge-Gapper, Juan Gabriel [1 ]
Calderon-Sanchez, Javier [2 ]
Serrano-Pacheco, Alberto [3 ]
机构
[1] Univ Costa Rica, Fac Ingn, Lab Mecan Computac, San Jose 115012060, Costa Rica
[2] Univ Politecn Madrid, CEHINAV ETSIN, Ave Memoria 4, Madrid 28040, Spain
[3] Univ Costa Rica, Fac Ingn, Ctr Invest Estudios Desarrollo Sostenible, San Jose 115012060, Costa Rica
关键词
Smoothed particle hydrodynamics; Non-Newtonian fluids; Granular flows; Multiphase flow; Dam break; Apparent viscosity; SMOOTHED PARTICLE HYDRODYNAMICS; DELTA-PLUS-SPH; DAM-BREAK; TENSILE INSTABILITY; MODEL; FLOWS;
D O I
10.1007/s40571-024-00712-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A modified apparent viscosity approach has been implemented for a weakly compressible SPH scheme for two-phase flows where a nonlinear phase must yield under erosive dynamics but also maintain a pseudosolid behaviour under the right conditions. The final purpose is to provide a means to model both dam-break dynamics and erosive interactions between different phases simultaneously while also keeping smooth pressure fields in spite of discontinuities introduced by viscosity variations of a nonlinear phase along with significant differences in mean density. Key contributions include purposeful avoidance of nonphysical elastic behaviour and the integration of a specific particle shifting technique that allows for proper replication of erosion and scouring. In this work, the method is validated by applying it to model a silted-up dam that collapses over a static water bed, effectively including all main elements of interest. Although the formulation is inherently three dimensional, validation is done by direct comparison with data from physical experiments of a dominant two-dimensional nature, assuming variable yield stress of medium-grain quartz sand according to the Drucker-Prager equation. Overall results show most of the expected interface dynamics, such as erosion and transportation of the nonlinear phase, sustained piling of the non-yielded volume of silt, and good correspondence of both granular and water surface position with experimental data. Finally, a series of modelling assumptions and implications for future developments are explicitly stated because of their direct impact on stability and versatility for multiphase, nonlinear flows in general.
引用
收藏
页码:1803 / 1823
页数:21
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