Skip to main content
Top

2012 | OriginalPaper | Chapter

Interactive Exploration of Stress Tensors Used in Computational Turbulent Combustion

Authors : Adrian Maries, Md. Abedul Haque, S. Levent Yilmaz, Mehdi B. Nik, G. Elisabeta Marai

Published in: New Developments in the Visualization and Processing of Tensor Fields

Publisher: Springer Berlin Heidelberg

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Simulation and modeling of turbulent flow, and of turbulent reacting flow in particular, involves solving for and analyzing time-dependent and spatially dense tensor quantities, such as turbulent stress tensors. The interactive visual exploration of these tensor quantities can effectively steer the computational modeling of combustion systems. In this chapter, we discuss the challenges in dense symmetric-tensor visualization applied to turbulent combustion calculation, and analyze the feasibility of using several established tensor visualization techniques in the context of exploring space-time relationships in computationally-simulated combustion tensor data. To tackle the pervasive problems of occlusion and clutter, we propose a solution combining techniques from information and scientific visualization. Specifically, the proposed solution combines a detailed 3D inspection view based on volume rendering with glyph-based representations—used as 2D probes—while leveraging interactive filtering and flow salience cues to clarify the structure of the tensor datasets. Side-by-side views of multiple timesteps facilitate the analysis of time-space relationships. The resulting prototype enables an analysis style based on the overview first, zoom and filter, then details on demand paradigm originally proposed in information visualization. The result is a visual analysis tool to be utilized in debugging, benchmarking, and verification of models and solutions in turbulent combustion. We demonstrate this analysis tool on three example configurations and report feedback from combustion researchers.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Footnotes
1
In reacting flow there are additional and generally more significant closure problems associated with chemical source terms in the mass and energy conservations equations, however this is beyond the scope of this text. The reader is referred to the literature [9, 12].
 
Literature
1.
go back to reference Bhalerao, A., Westin, C.-F.: Tensor splats: visualising tensor fields by texture mapped volume rendering. In: Proceedings of Sixth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI ’03), Montréal, pp. 294–901 (2003) Bhalerao, A., Westin, C.-F.: Tensor splats: visualising tensor fields by texture mapped volume rendering. In: Proceedings of Sixth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI ’03), Montréal, pp. 294–901 (2003)
2.
go back to reference Card, S.K., Mackinlay, J.D., Shneiderman, B.: Readings in Information Visualization: Using Vision to Think. Morgan Kaufmann, San Francisco (1999) Card, S.K., Mackinlay, J.D., Shneiderman, B.: Readings in Information Visualization: Using Vision to Think. Morgan Kaufmann, San Francisco (1999)
3.
go back to reference Chen, W., Ding, Z., Zhang, S., MacKay-Brandt, A., Correia, S., Qu, H., Crow, J.A., Tate, D.F., Yan, Z., Peng, Q.: A novel interface for interactive exploration of DTI fibers. IEEE Trans. Vis. Comput. Graph. 15(6), 1433–1440 (2009) Chen, W., Ding, Z., Zhang, S., MacKay-Brandt, A., Correia, S., Qu, H., Crow, J.A., Tate, D.F., Yan, Z., Peng, Q.: A novel interface for interactive exploration of DTI fibers. IEEE Trans. Vis. Comput. Graph. 15(6), 1433–1440 (2009)
4.
go back to reference Chen, Y., Peters, N., Schneemann, G.A., Wruck, N., Renz, U., Mansour, M.S.: The detailed flame structure of highly stretched turbulent premixed methane-air flames. Combust. Flame 107, 223–226 (1996) Chen, Y., Peters, N., Schneemann, G.A., Wruck, N., Renz, U., Mansour, M.S.: The detailed flame structure of highly stretched turbulent premixed methane-air flames. Combust. Flame 107, 223–226 (1996)
5.
go back to reference Ciofalo, M.: Large Eddy Simulation: a ritical survey of models and applications. In: Advances in Heat Transfer, vol. 25, pp. 321–419. Academic, New York (1994) Ciofalo, M.: Large Eddy Simulation: a ritical survey of models and applications. In: Advances in Heat Transfer, vol. 25, pp. 321–419. Academic, New York (1994)
7.
go back to reference Dick, C., Georgii, J., Burgkart, R., Westermann, R.: Stress tensor field visualization for implant planning in orthopedics. IEEE Trans. Vis. Comput. Graph. 15(6), 1399–1406 (2009) Dick, C., Georgii, J., Burgkart, R., Westermann, R.: Stress tensor field visualization for implant planning in orthopedics. IEEE Trans. Vis. Comput. Graph. 15(6), 1399–1406 (2009)
8.
go back to reference Dunn-Rankin, D. (ed.): Lean Combustion: Technology and Control. Academic, New York (2008) Dunn-Rankin, D. (ed.): Lean Combustion: Technology and Control. Academic, New York (2008)
9.
go back to reference Fox, R.O.: Computational models for turbulent reacting flows. Cambridge University Press, Cambridge (2003) Fox, R.O.: Computational models for turbulent reacting flows. Cambridge University Press, Cambridge (2003)
10.
go back to reference Givi, P.: Filtered density function for subgrid scale modeling of turbulent combustion. AIAA J. 44(1), 16–23 (2006) Givi, P.: Filtered density function for subgrid scale modeling of turbulent combustion. AIAA J. 44(1), 16–23 (2006)
11.
go back to reference Hack, R.L., McDonell, V.G.: Impact of ethane, propane, and diluent content in natural gas on the performance of a commercial microturbine generator. J. Eng. Gas Turb. Power 130(1), 011509 (2008) Hack, R.L., McDonell, V.G.: Impact of ethane, propane, and diluent content in natural gas on the performance of a commercial microturbine generator. J. Eng. Gas Turb. Power 130(1), 011509 (2008)
12.
go back to reference Haworth, D.C.: Progress in probability density function methods for turbulent reacting flows. Prog. Energ. Combust. vol. 36, pp. 168–259 (2010) Haworth, D.C.: Progress in probability density function methods for turbulent reacting flows. Prog. Energ. Combust. vol. 36, pp. 168–259 (2010)
13.
go back to reference Jeremic, B., Scheuermann, G., Frey, J., Yang, Z., Hamann, B., Joy, K.I., Hagen, H.: Tensor visualizations in computational geomechanics. Int. J. Numer. Anal. Methods Geomech. 26(10), 925–944 (2002) Jeremic, B., Scheuermann, G., Frey, J., Yang, Z., Hamann, B., Joy, K.I., Hagen, H.: Tensor visualizations in computational geomechanics. Int. J. Numer. Anal. Methods Geomech. 26(10), 925–944 (2002)
14.
go back to reference Jianu, R., Demiralp, C., Laidlaw, D.H.: Exploring 3D DTI fiber tracts with linked 2D representations. IEEE Trans. Vis. Comput. Graph. 15(6), 1449–1456 (2009) Jianu, R., Demiralp, C., Laidlaw, D.H.: Exploring 3D DTI fiber tracts with linked 2D representations. IEEE Trans. Vis. Comput. Graph. 15(6), 1449–1456 (2009)
15.
go back to reference Johnsen, E., Larsson, J., Bhagatwala, A.V., Cabot, W.H., Moin, P., Olson, B.J., Rawat, P.S., Shankar, S.K., Sjogreen, B., Yee, H., Zhong, X., Lele, S.K.: Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves. J Comput. Phys. 229(4), 1213–1237 (2010) Johnsen, E., Larsson, J., Bhagatwala, A.V., Cabot, W.H., Moin, P., Olson, B.J., Rawat, P.S., Shankar, S.K., Sjogreen, B., Yee, H., Zhong, X., Lele, S.K.: Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves. J Comput. Phys. 229(4), 1213–1237 (2010)
16.
go back to reference Kang, S., Iaccarino, G., Ham, F. and Moin, P.: Prediction of wall-pressure fluctuation in turbulent flows with an immersed boundary method. J Comput. Phys. 228, 6753–6772 (2009) Kang, S., Iaccarino, G., Ham, F. and Moin, P.: Prediction of wall-pressure fluctuation in turbulent flows with an immersed boundary method. J Comput. Phys. 228, 6753–6772 (2009)
17.
go back to reference Kindlmann, G.: Superquadric tensor glyphs. In: Proceedings of IEEE TVCG/EG Symposium on Visualization 2004, pp. 147–154 (2004) Kindlmann, G.: Superquadric tensor glyphs. In: Proceedings of IEEE TVCG/EG Symposium on Visualization 2004, pp. 147–154 (2004)
18.
go back to reference Kindlmann, G., Westin, C.-F.: Diffusion tensor visualization with glyph packing. IEEE Trans. Vis. Comput. Graph. 12(5), 1329–1336 (2006) Kindlmann, G., Westin, C.-F.: Diffusion tensor visualization with glyph packing. IEEE Trans. Vis. Comput. Graph. 12(5), 1329–1336 (2006)
19.
go back to reference Kindlmann, G., Weinstein, D., Hart, D.: Strategies for direct volume rendering of diffusion tensor fields. IEEE Trans. Vis. Comput. Graph. 6(2) 124–138 (2000) Kindlmann, G., Weinstein, D., Hart, D.: Strategies for direct volume rendering of diffusion tensor fields. IEEE Trans. Vis. Comput. Graph. 6(2) 124–138 (2000)
20.
go back to reference Kuo, K.: Principles of Combustion. Wiley, Hoboken (2005) Kuo, K.: Principles of Combustion. Wiley, Hoboken (2005)
21.
go back to reference Lesieur, M., Metais, O.: New Trends in Large Eddy Simulations of Turbulence. Ann. Rev. Fluid Mech. 28, 45–82 (1996) Lesieur, M., Metais, O.: New Trends in Large Eddy Simulations of Turbulence. Ann. Rev. Fluid Mech. 28, 45–82 (1996)
22.
go back to reference Peters, N.: Turbulent Combustion. Cambridge University Press, Cambridge (2000) Peters, N.: Turbulent Combustion. Cambridge University Press, Cambridge (2000)
23.
go back to reference Poinsot, T., Veynante, D.: Theoretical and Numerical Combustion, 2nd edn. R.T. Edwards, Inc., Philadelphia (2005) Poinsot, T., Veynante, D.: Theoretical and Numerical Combustion, 2nd edn. R.T. Edwards, Inc., Philadelphia (2005)
24.
go back to reference Pope, S.B.: Turbulent Flows, Cambridge University Press, Cambridge (2000) Pope, S.B.: Turbulent Flows, Cambridge University Press, Cambridge (2000)
25.
go back to reference Pope, S.B.: Advances in PDF methods for turbulent reactive flows. In: Andersson, H.I., Krogstad, P.A. (eds.) Advances in Turbulence X, pp. 529–536. CIMNE, Barcelona (2004) Pope, S.B.: Advances in PDF methods for turbulent reactive flows. In: Andersson, H.I., Krogstad, P.A. (eds.) Advances in Turbulence X, pp. 529–536. CIMNE, Barcelona (2004)
26.
go back to reference Rhyne, T., Tory M., Munzner, T., Ward, M., Johnson, C., Laidlaw, D.: Information and scientific visualization: separate but equal or happy together at last? IEEE Visualization (Panel Proceedings), pp. 611–614. Seattle, WA (2003) Rhyne, T., Tory M., Munzner, T., Ward, M., Johnson, C., Laidlaw, D.: Information and scientific visualization: separate but equal or happy together at last? IEEE Visualization (Panel Proceedings), pp. 611–614. Seattle, WA (2003)
27.
go back to reference Robertson, G., Fernandez, R., Fisher, D., Lee, B., Stasko, J.: Effectiveness of animation in trend visualization. IEEE Trans. Vis. Comput. Graph. 14(6), 1325–1332 (2008) Robertson, G., Fernandez, R., Fisher, D., Lee, B., Stasko, J.: Effectiveness of animation in trend visualization. IEEE Trans. Vis. Comput. Graph. 14(6), 1325–1332 (2008)
28.
go back to reference Richards, G.A., McMillian, M.M., Gemmen, R.S., Rogers, W.A., Cully, S.R.: Issues for low-emission, fuel-flexible power systems. Prog. Energy Combust. Sci. 27(2), 141–169 (2001) Richards, G.A., McMillian, M.M., Gemmen, R.S., Rogers, W.A., Cully, S.R.: Issues for low-emission, fuel-flexible power systems. Prog. Energy Combust. Sci. 27(2), 141–169 (2001)
29.
go back to reference Sankaran, R., Hawkes, E.R., Chen, J.H., Lu, T., Law, C.K.: Structure of a spatially developing turbulent lean methane-air bunsen flame. Proc. Combust. Inst. 31, 1291–1298 (2007) Sankaran, R., Hawkes, E.R., Chen, J.H., Lu, T., Law, C.K.: Structure of a spatially developing turbulent lean methane-air bunsen flame. Proc. Combust. Inst. 31, 1291–1298 (2007)
30.
go back to reference Sherbondy, A., Akers, D., Mackenzie, R., Dougherty, R., Wandell, B.: Exploring connectivity of the brain’s white matter with dynamic queries. IEEE Trans. Vis. Comput. Graph. 11(4), 419–430 (2005) Sherbondy, A., Akers, D., Mackenzie, R., Dougherty, R., Wandell, B.: Exploring connectivity of the brain’s white matter with dynamic queries. IEEE Trans. Vis. Comput. Graph. 11(4), 419–430 (2005)
31.
go back to reference Slavin, V., Pelcovits, R., Loriot, G., Callan-Jones, A., Laidlaw, D.: Techniques for the visualization of topological defect behavior in nematic liquid crystals. IEEE Trans. Vis. Comput. Graph. 12(5), 1323–1328 (2006) Slavin, V., Pelcovits, R., Loriot, G., Callan-Jones, A., Laidlaw, D.: Techniques for the visualization of topological defect behavior in nematic liquid crystals. IEEE Trans. Vis. Comput. Graph. 12(5), 1323–1328 (2006)
32.
go back to reference Vreman, A., van Oijen, J., de Goey, L., Bastiaans, R.: Direct numerical simulation of hydrogen addition in turbulent premixed Bunsen flames using flamelet-generated manifold reduction. Int. J. Hydrog. Energy. 34, 2778–2788 (2009) Vreman, A., van Oijen, J., de Goey, L., Bastiaans, R.: Direct numerical simulation of hydrogen addition in turbulent premixed Bunsen flames using flamelet-generated manifold reduction. Int. J. Hydrog. Energy. 34, 2778–2788 (2009)
33.
go back to reference Tannehill, J.C., Anderson, D.A., Pletcher, R.H.: Computational Fluid Mechanics and Heat Transfer, 2nd edn. Taylor & Francis, Washington, DC (1997) Tannehill, J.C., Anderson, D.A., Pletcher, R.H.: Computational Fluid Mechanics and Heat Transfer, 2nd edn. Taylor & Francis, Washington, DC (1997)
34.
go back to reference Tufte, E.R.: Envisioning Information. Graphics Press, Cheshire (1990) Tufte, E.R.: Envisioning Information. Graphics Press, Cheshire (1990)
35.
go back to reference Tufte, E.R.: Visual Explanations: Images and Quantities, Evidence and Narrative. Graphics Press, Cheshire (1997) Tufte, E.R.: Visual Explanations: Images and Quantities, Evidence and Narrative. Graphics Press, Cheshire (1997)
36.
go back to reference Tufte, E.R.: The Visual Display of Quantitative Information. Graphics Press, Cheshire (2001) Tufte, E.R.: The Visual Display of Quantitative Information. Graphics Press, Cheshire (2001)
37.
go back to reference Wenger, A., Keefe, D.F., Zhang, S., Laidlaw, D.H.: Interactive volume rendering of thin thread structures within multivalued scientific data sets. IEEE Trans. Vis. Comput. Graph. 10(6), 664–672 (2004) Wenger, A., Keefe, D.F., Zhang, S., Laidlaw, D.H.: Interactive volume rendering of thin thread structures within multivalued scientific data sets. IEEE Trans. Vis. Comput. Graph. 10(6), 664–672 (2004)
38.
go back to reference Westin, C.-F., Maier, S.E., Mamata, H., Nabavi, A., Jolesz, F.A., Kikinis, R.: Processing and visualization for diffusion tensor mri. Med. Image Anal. 6, 93–108 (2002) Westin, C.-F., Maier, S.E., Mamata, H., Nabavi, A., Jolesz, F.A., Kikinis, R.: Processing and visualization for diffusion tensor mri. Med. Image Anal. 6, 93–108 (2002)
39.
go back to reference Yilmaz, S.L., Nik, M.B., Givi, P., Strakey, P.A.: Scalar filtered density function for large eddy simulation of a premixed bunser burner. J. Propul. Power. 26, 84–93 (2010) Yilmaz, S.L., Nik, M.B., Givi, P., Strakey, P.A.: Scalar filtered density function for large eddy simulation of a premixed bunser burner. J. Propul. Power. 26, 84–93 (2010)
40.
go back to reference Zhang, S., Demiralp, C., Laidlaw, D.H.: Visualizing diffusion tensor MR images using streamtubes and streamsurfaces. IEEE Trans. Vis. Comput. Graph. 9(4), 454–462 (2003) Zhang, S., Demiralp, C., Laidlaw, D.H.: Visualizing diffusion tensor MR images using streamtubes and streamsurfaces. IEEE Trans. Vis. Comput. Graph. 9(4), 454–462 (2003)
41.
go back to reference Zhang, S., Kindlmann, G., Laidlaw, D.H.: Diffusion tensor MRI visualization. In: Visualization Handbook. Academic, Amsterdam (2004) Zhang, S., Kindlmann, G., Laidlaw, D.H.: Diffusion tensor MRI visualization. In: Visualization Handbook. Academic, Amsterdam (2004)
42.
go back to reference Zhang, E., Yeh, H., Lin, Z., Laramee, R.S.: Asymmetric tensor analysis for flow visualization. IEEE Trans. Vis. Comput. Graph. 15(1), 106–122 (2009) Zhang, E., Yeh, H., Lin, Z., Laramee, R.S.: Asymmetric tensor analysis for flow visualization. IEEE Trans. Vis. Comput. Graph. 15(1), 106–122 (2009)
43.
go back to reference Zheng, X., Pang, A.: Volume deformation for tensor visualization. In: Proceedings of the IEEE Visualization Conference ’02, pp. 379–386. Boston, MA (2002) Zheng, X., Pang, A.: Volume deformation for tensor visualization. In: Proceedings of the IEEE Visualization Conference ’02, pp. 379–386. Boston, MA (2002)
44.
go back to reference Zhukov, L., Barr, A.H.: Oriented tensor reconstruction: tracing neural pathways from diffusion tensor MRI. In Proceedings of the IEEE Visualization Conference ’02, pp. 387–394. Boston, MA (2002) Zhukov, L., Barr, A.H.: Oriented tensor reconstruction: tracing neural pathways from diffusion tensor MRI. In Proceedings of the IEEE Visualization Conference ’02, pp. 387–394. Boston, MA (2002)
Metadata
Title
Interactive Exploration of Stress Tensors Used in Computational Turbulent Combustion
Authors
Adrian Maries
Md. Abedul Haque
S. Levent Yilmaz
Mehdi B. Nik
G. Elisabeta Marai
Copyright Year
2012
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-27343-8_7

Premium Partner