A model and numerical method for compressible flows with capillary effects

被引：64

作者：

Schmidmayer, Kevin ^{[1
]}

Petitpas, Fabien ^{[1
]}

Daniel, Eric ^{[1
]}

Favrie, Nicolas ^{[1
]}

Gavrilyuk, Sergey ^{[1
]}

机构：

[1] Aix Marseille Univ, CNRS, IUSTI, Marseille, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2017年 / 334卷

关键词：

Diffuse interface; Godunov type methods; Hyperbolic systems; Multiphase flows; Shock waves; Surface tension; DIFFUSE INTERFACE MODEL; FLUID; SIMULATION; BREAKUP; SURFACE; COMPUTATIONS; TRANSITION; TRACKING; SHOCKS;

D O I：

10.1016/j.jcp.2017.01.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new model for interface problems with capillary effects in compressible fluids is presented together with a specific numerical method to treat capillary flows and pressure waves propagation. This new multiphase model is in agreement with physical principles of conservation and respects the second law of thermodynamics. A new numerical method is also proposed where the global system of equations is split into several submodels. Each submodel is hyperbolic or weakly hyperbolic and can be solved with an adequate numerical method. This method is tested and validated thanks to comparisons with analytical solutions (Laplace law) and with experimental results on droplet breakup induced by a shock wave. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：468 / 496

页数：29

共 55 条

[1] Computations of compressible multifluids [J].

Abgrall, R ;

Karni, S .

JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 169 (02) :594-623

[2] A five-equation model for the simulation of interfaces between compressible fluids [J].

Allaire, G ;

Clerc, S ;

Kokh, S .

JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 181 (02) :577-616

[3] A CONTINUUM METHOD FOR MODELING SURFACE-TENSION [J].

BRACKBILL, JU ;

KOTHE, DB ;

ZEMACH, C .

JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 100 (02) :335-354

[4] Shock waves in sprays: numerical study of secondary atomization and experimental comparison [J].

Chauvin, A. ;

Daniel, E. ;

Chinnayya, A. ;

Massoni, J. ;

Jourdan, G. .

SHOCK WAVES, 2016, 26 (04) :403-415

[5] Experimental investigation of the propagation of a planar shock wave through a two-phase gas-liquid medium [J].

Chauvin, A. ;

Jourdan, G. ;

Daniel, E. ;

Houas, L. ;

Tosello, R. .

PHYSICS OF FLUIDS, 2011, 23 (11)

[6] Lattice Boltzmann method for fluid flows [J].

Chen, S ;

Doolen, GD .

ANNUAL REVIEW OF FLUID MECHANICS, 1998, 30 :329-364

[7] ATOMIZATION MODELLING OF LIQUID JETS USING A TWO-SURFACE-DENSITY APPROACH [J].

Devassy, Bejoy Mandumpala ;

Habchi, Chawki ;

Daniel, Eric .

ATOMIZATION AND SPRAYS, 2015, 25 (01) :47-80

[8] FRAGMENTATION OF WATERDROPS IN THE ZONE BEHIND AN AIR SHOCK [J].

ENGEL, OG .

JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS, 1958, 60 (03) :245-280

[9] A thermodynamically compatible splitting procedure in hyperelasticity [J].

Favrie, N. ;

Gavrilyuk, S. ;

Ndanou, S. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 270 :300-324

[10] Dynamic compaction of granular materials [J].

Favrie, N. ;

Gavrilyuk, S. .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2013, 469 (2160)

← 1 2 3 4 5 6 →