ARL Penn State COMPUTATIONAL MECHANICS Comparison of Interface Capturing Methods using OpenFOAM 4 th OpenFOAM Workshop 4 June 2009 Montreal, Canada Sean M. McIntyre, Michael P. Kinzel, Jules W. Lindau Applied Research Laboratory, Penn State University This work was supported by the Office of Naval Research, contract #N00014-07- 1-0134, with Dr. Kam Ng as contract monitor.
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ARL Penn State COMPUTATIONAL MECHANICS Comparison of Interface Capturing Methods using OpenFOAM 4 th OpenFOAM Workshop 4 June 2009 Montreal, Canada Sean.
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ARLPenn StateCOMPUTATIONAL MECHANICS
Comparison of Interface Capturing Methods using OpenFOAM
4th OpenFOAM Workshop4 June 2009
Montreal, Canada
Sean M. McIntyre, Michael P. Kinzel, Jules W. Lindau
Applied Research Laboratory, Penn State University
This work was supported by the Office of Naval Research, contract #N00014-07-1-0134, with Dr. Kam Ng as contract monitor.
ARLPenn StateCOMPUTATIONAL MECHANICS
• Background– Motivation– Interface Capturing
• Numerical Approach– Volume of Fluid– Level Set Methods
• SDF Sharpening w/ VOF transport (LS-1)– ε has effect when
fls=1 and fr=1
– Damping and periodic reinitialization help
ARLPenn StateCOMPUTATIONAL MECHANICS
Test Cases: 2-D Water Drop in Oil
• Mass-Conserving (LS-2)– ε increases
conservation
– Damping and periodic reinitialization lowered conservation
ARLPenn StateCOMPUTATIONAL MECHANICS
Test Cases: 2-D Water Drop in Oil
• Transformed SDF Sharpening w/ VOF transport (LS-3)– ε has effect
when fls=1
– Damping and periodic reinitialization help
ARLPenn StateCOMPUTATIONAL MECHANICS
Test Cases: 2-D Water Drop in Oil
• Realizable-Scaled (LS-4)– Higher ε clips
more, conserves less
– Damping and periodic reinitialization help
ARLPenn StateCOMPUTATIONAL MECHANICS
Test Cases: Submerged Hydrofoil
• Free surface flows• Sharp interface• Level-Set sharpening• Signed Distance
Boundary Conditions
ARLPenn StateCOMPUTATIONAL MECHANICS
• Background– Motivation– Interface Capturing
• Numerical Approach– Volume of Fluid– Level Set Methods
• Test Cases• Summary
Outline
ARLPenn StateCOMPUTATIONAL MECHANICS
• Compared Interface Capturing Methods– Using simple test cases– Volume of Fluid Vs. Level Set Methods
• Test Cases– Dam Break:
• Level-set methods: nice initial wave, mass conservation issues. Olssen method best of level set schemes.
• VOF: Performs well– Water drop in Oil:
• Level-set methods: good until breakup, mass conservation issues. Olssen method best of level set schemes.
• VOF: Performs well– Duncan submerged hydrofoil:
• Level-set methods: Good results. BC difficulties. Olssen method best of level set schemes.
• VOF Performs well, more diffuse and less experimental agreement than Olssen
Summary
ARLPenn StateCOMPUTATIONAL MECHANICS
• Conclusions– Clearly problem dependent
• VOF all around best approach
• Olssen conserves mass well, best of level-set methods.
• Realizable scaling is cheaper, and performs similar to SDF methods
– Future• Level-set parameter space
• Performance on unstructured meshes
• Reinitialization: performance/mass conservation
Summary
ARLPenn StateCOMPUTATIONAL MECHANICS
1. Sussman, M., Smereka, P., and Osher, S. 1994. A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114, 1 (Sep. 1994), 146-159. DOI= http://dx.doi.org/10.1006/jcph.1994.1155
2. Olsson, E., Kreiss, G., and Zahedi, S. 2007. A conservative level set method for two phase flow II. J. Comput. Phys. 225, 1 (Jul. 2007), 785-807. DOI= http://dx.doi.org/10.1016/j.jcp.2006.12.027
3. Olsson, E. and Kreiss, G. 2005. A conservative level set method for two phase flow. J. Comput. Phys. 210, 1 (Nov. 2005), 225-246. DOI= http://dx.doi.org/10.1016/j.jcp.2005.04.007
4. Kinzel, M. P. Computational Techniques and Analysis of Cavitating-Fluid Flows. Dissertation in Aerospace Engineering, University Park, PA, USA : The Pennsylvania State University, May 2008.
5. Kinzel, M. P. Lindau, J.W., and Kunz, R.F.,”A Level-Set Approach for Compressible, Multiphase Fluid Flows with Mass Transfer,” AIAA CFD Conference, San Antonio TC, USA, June 2009.