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Numerical simulation of stratified flows usingOpenFOAM package

https://doi.org/10.15514/ISPRAS-2014-26(5)-10

Abstract

The paper is devoted to construction of a numerical model and computations of continuously stratified fluid flows in field of external mass forces accounting for dissipative factors, viscosity and diffusion. Mathematical model is based on the fundamental set of differential equations of inhomogeneous multicomponent fluid mechanics. Solution of the problem is constructed numerically in the completenon-linear formulation using finite volume method in frame of the open source package OpenFOAM. To take in to account the stratification and diffusion effects a new own solver, stratifiedFoam, was developed and tested using the standard and extended libraries of the package. A particular attention is focused at construction of a high quality computational grid which satisfies basic requirements for resolution of all the microscales of the problem in high-gradient regions of the flow. The calculations performed in parallel regime on computational facilities of the web-laboratory UniHUB demonstrated a pretty high efficiency of the proposed numerical model and a good agreement with the experimental data.

About the Authors

N. F. Dimitrieva
IPMech RAS
Russian Federation


Ya. V. Zagumennyi
IHMNASU
Russian Federation


References

1. L.D. Landau, E.M. Lifshits. Teoreticheskaya fizika, tom VI Gidrodinamika [Theoretical physics, volume VI, Hydrodynamics]. М.:Nauka [Moscow: Science], 1986. 736 p.(in Russian)

2. L.Prandtl. Gidroaehromekhanika [Hydroaeromechanics]. М.: Izdatelʹstvo inostrannoi literatury [Moscow: Foreign Literature Publishing House], 1949. 488 p.(in Russian)

3. O.M.Phillips. On flows induced by diffusion in a stably stratified fluid. Deep-Sea Res.,volume 17, 1970. P. 435–443.

4. A. Shapiro, E. Fedorovich. A boundary-layer scaling for turbulent katabatic flow. Boundary-layer meteorology, volume 153, Issue 1, 2014. P. 1-17. doi: 10.1007/s10546-014-9933-3.

5. Ia.V.Zagumennyi, Yu.D.Chashechkin. Fine structure of unsteady diffusion-induced flow over a fixed plate. Fluid Dynamics, volume 48, № 3, 2013.P. 374-388. doi: 10.1134/S0015462813030113

6. Yu.D.Chashechkin, R.N. Bardakov, Ia. V. Zagumennyi. Raschet i vizualizatsiya tonkoj struktury polej dvumernykh prisoedinennykh vnutrennikh voln [Calculation and visualization of the fine structure of fields of two-dimensional attached internal waves], Morskoj gidrofizicheskij zhurnal [MarineHydrophysicalJournal], № 6. 2010. P. 3-15 (inRussian).

7. Ia. V. Zagumennyi.Dinamika i struktura stratifitsirovannogo techeniya okologorizontal'noj plastiny [Dynamics and structure ofa stratifiedflow arounda horizontalplate]. Doklady NАN Ukrainy [Reports of NAS of Ukraine], № 7, 2014. P. 60-67(in Russian).

8. M. R.Allshouse, M.F.Barad, T. Peacock Propulsion generated by diffusion-driven flow. Nature Physics, volume 6, 2010. P. 516–519. doi: 10.1038/nphys1686

9. M.J.Mercier, F.M.Ardekani, M.R.Allshouse, B.Doyle, T.Peacock. Self-propulsion of immersed object via natural convection. Physical review letters, volume 112, 2014. P. 204501(5).

10. Yu.D.Chashechkin. Differentsial'naya mekhanika zhidkostej: nablyudeniya i raschety struktury techenij [Differential fluid mechanics: flow, structures observations and calculations] ZHurnal problem ehvolyutsii otkrytykh sistem [Journal of the problems of the evolution of open systems], volume 2, Issue. 15, 2013. P. 20-36 (in Russian).

11. Yu.D.Chashechkin, V.V.Mitkin. A visual study on flow pattern around the strip moving uniformly in a continuously stratified fluid, J. Visualiz, volume 7, Issue 2, 2004. P. 127-134.

12. V. T. Kalugin, M. V. Kraposhin, S. V. Strizhak, А. V.YuskinVozmozhnosti otkrytogo paketa OpenFOAM dlya resheniya zadach aehro gidro mekhanikii teploobmena [The possibility of the opening package OpenFOAM to solve aero hydro mechanic and heat transfer problems]. Trudy RNKT-5 [Proceedings of the Fifth Russian National Conferenceon Heat Transfer]. М.:Izdatel'skij dom MEHI [Moscow: MPEI-publisher], volume 1, 2010. P. 85-88 (in Russian). ISBN 978-5-383-00529-3

13. Yu.D.Chashechkin, Ia. V. Zagumennyi. Raschet techenij nepreryvno stratifitsirovannoj zhidkosti s ispol'zovaniem otkrytykh vychislitel'nykh paketov na baze tekhnologicheskoj platformy UniHUB [Calculation of continuously stratified fluid flows using open computational packages based on the technological platform UniHUB]. Trudy ISP RАN [The Proceedings of ISP RAS], volume 24, 2013. P. 87-106(in Russian).doi: 10.15514/ISPRAS-2013-24-5.

14. D.V.Chirkov, S.G.Chernyi. Sravnenie tochnosti i skhodimosti nekotorykh TVD-skhem [Comparison of accuracy and convergence rate of someTVD-schemes] Vychislitel'nye tekhnologii [ComputerApplications], volume 5, 2000. P. 86-107 (in Russian).

15. O. Samovarov, S. Gaysaryan. Аrkhitektura i osobennosti realizatsii platformy UniHUB v modeli oblachnykh vychislenij na baze otkrytogo paketa OpenStack [The web-laboratory architecture based on the cloud and the UniHUB implementation as an extension of the OpenStack platform]. Trudy ISP RАN [The Proceedings of ISP RAS], volume 26, issue 1, 2014. P. 403-420(in Russian) doi: 10.15514/ISPRAS-2014-26(1)-17.

16. N.F. Dimitrieva, Ia.V. Zagumennyi. Calculations of admixture transport around a horizontal plate in a continuously stratified fluid. Selected papers of international conference “Fluxes and structures in fluids”. M.: MAKS Press, 2014. P. 61–68.


Review

For citations:


Dimitrieva N.F., Zagumennyi Ya.V. Numerical simulation of stratified flows usingOpenFOAM package. Proceedings of the Institute for System Programming of the RAS (Proceedings of ISP RAS). 2014;26(5):187-200. (In Russ.) https://doi.org/10.15514/ISPRAS-2014-26(5)-10



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ISSN 2079-8156 (Print)
ISSN 2220-6426 (Online)