Simulation of two‐phase flow with sub‐scale droplet and bubble effects

We present a new Eulerian‐Lagrangian method for physics‐based simulation of fluid flow, which includes automatic generation of sub‐scale spray and bubbles. The Marker Level Set method is used to provide a simple geometric criterion for free marker generation. A filtering method, inspired from Weber number thresholding, further controls the free marker generation (in a physics‐based manner). Two separate models are used, one for sub‐scale droplets, the other for sub‐scale bubbles. Droplets are evolved in a Newtonian manner, using a density‐extension drag force field, while bubbles are evolved using a model based on Stokes' Law. We show that our model for sub‐scale droplet and bubble dynamics is simple to couple with a full (macro‐scale) Navier‐Stokes two‐phase flow model and is quite powerful in its applications. Our animations include coarse grained multiphase features interacting with fine scale multiphase features.

[1]  Insung Ihm,et al.  Practical animation of turbulent splashing water , 2006, Symposium on Computer Animation.

[2]  Jun-Hai Yong,et al.  Simulation of bubbles , 2006, SCA '06.

[3]  W. Sirignano Fluid Dynamics and Transport of Droplets and Sprays by William A. Sirignano , 1999 .

[4]  Hyeong-Seok Ko,et al.  Stable but nondissipative water , 2005, TOGS.

[5]  Jessica K. Hodgins,et al.  Dynamic simulation of splashing fluids , 1995, Proceedings Computer Animation'95.

[6]  Ronald Fedkiw,et al.  Animation and rendering of complex water surfaces , 2002, ACM Trans. Graph..

[7]  Dimitris N. Metaxas,et al.  Physics based boiling simulation , 2006, SCA '06.

[8]  M. Sussman,et al.  A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows , 2000 .

[9]  Dimitris N. Metaxas,et al.  Interaction of two-phase flow with animated models , 2008, Graph. Model..

[10]  Ignacio Llamas,et al.  Simulation of bubbles in foam with the volume control method , 2007, ACM Trans. Graph..

[11]  Takahiro Saito,et al.  Realistic Animation of Fluid with Splash and Foam , 2003, Comput. Graph. Forum.

[12]  Dimitris N. Metaxas,et al.  Paper Title : Interaction of multiphase flow with animated models , 2007 .

[13]  W. Sirignano,et al.  Fluid Dynamics and Transport of Droplets and Sprays , 1999 .

[14]  Jeong-Mo Hong,et al.  Bubbles alive , 2008, SIGGRAPH 2008.

[15]  Ronald Fedkiw,et al.  Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.

[16]  Chang-Hun Kim,et al.  Discontinuous fluids , 2005, ACM Trans. Graph..

[17]  Dimitris N. Metaxas,et al.  Textured Liquids based on the Marker Level Set , 2007, Comput. Graph. Forum.

[18]  Ronald Fedkiw,et al.  Practical animation of liquids , 2001, SIGGRAPH.

[19]  Jeong-Mo Hong,et al.  Discontinuous fluids , 2005, SIGGRAPH 2005.

[20]  Donald H. House,et al.  Better with bubbles: enhancing the visual realism of simulated fluid , 2004, SCA '04.

[21]  Dimitris N. Metaxas,et al.  Realistic Animation of Liquids , 1996, Graphics Interface.

[22]  Chung King Law,et al.  Regimes of coalescence and separation in droplet collision , 1997, Journal of Fluid Mechanics.

[23]  Rolf D. Reitz,et al.  A new predictive model for fragmenting and non-fragmenting binary droplet collisions , 2007 .

[24]  Markus H. Gross,et al.  Eurographics/ Acm Siggraph Symposium on Computer Animation (2007) Real-time Simulations of Bubbles and Foam within a Shallow Water Framework , 2022 .

[25]  Simon Brown,et al.  Flooding Ice Age: The Meltdown using wavesynth and point based froth , 2006, SIGGRAPH '06.

[26]  Ronald Fedkiw,et al.  Coupling water and smoke to thin deformable and rigid shells , 2005, SIGGRAPH '05.

[27]  John David Thornton Directable simulation of stylized water splash effects in 3D space , 2006, SIGGRAPH '06.

[28]  Ronald Fedkiw,et al.  So real it'll make you wet , 2006, SIGGRAPH '06.

[29]  Ronald Fedkiw,et al.  Melting and burning solids into liquids and gases , 2006, IEEE Transactions on Visualization and Computer Graphics.

[30]  Markus H. Gross,et al.  Particle-based fluid-fluid interaction , 2005, SCA '05.

[31]  Soon Hyoung Pyo,et al.  Bubbling and frothing liquids , 2007, SIGGRAPH 2007.

[32]  Paul W. Cleary,et al.  Bubbling and frothing liquids , 2007, ACM Trans. Graph..

[33]  Ronald Fedkiw,et al.  Two-Way Coupled SPH and Particle Level Set Fluid Simulation , 2008, IEEE Transactions on Visualization and Computer Graphics.

[34]  Mark Sussman,et al.  A sharp interface method for incompressible two-phase flows , 2007, J. Comput. Phys..