On the implementation of low-dissipative Runge-Kutta projection methods for time dependent flows using OpenFOAM®

Computers and Fluids

Volumn 93, Issue , 2014, Pages 153-163

  Vuorinen, V ^a   Keskinen, J P ^a   Duwig, C ^b   Boersma, B J ^c  

^a AALTO UNIVERSITY   (Finland)

^b LUND UNIVERSITY   (Sweden)

^c DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Incompressible flows; OpenFOAM ; Projection methods; Runge Kutta

Indexed keywords

EID: 84894030853     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2014.01.026     Document Type: Article

References (44)

1. Canuto C., Hussaini M.Y., Quarteroni A., Zang T. Spectral methods 2007, Springer, ISBN 978-3-540-30727-3.
2. Hirsch C. Numerical computation of internal and external flows 2007, Elsevier. 2nd ed.
3. Issa R.I. Solution of the implicitly discretized fluid flow equations by operator-splitting. J Comput Phys 1985, 62:40-65.
4. Issa R.I., Gosman A.D., Watkins A.P. Solution of the implicitly discretized fluid flow equations by operator-splitting. J Comput Phys 1986, 62:66-82.
5. Boersma B.J. A 6th order staggered compact finite difference method for the incompressible Navier-Stokes and scalar transport equations. J Comput Phys 2011, 230:4940-4954.
6. Boersma B.J. A staggered compact finite difference formulation for the compressible Navier-Stokes equations. J Comput Phys 2005, 208:2.
7. Grinstein F., Fureby C., DeVore C. On MILES based on flux limiting algorithms. Int J Numer Meth Fluids 2005, 47:1043-1051.
8. ?=590. Phys Fluids 1999, 11:943-945.
9. Yang Y., Kaer S.K. Large-eddy simulations of the non-reactive flow in the Sydney swirl burner. Int J Heat Fluid Flow 2012, 36:47-57.
10. Kosaka H., Nomura Y., Nagaoka M., Inagaki M., Kubota M. A fractal-based flame propagation model for large eddy simulation. J Engine Res 2011, 12:393-401.
11. Kaario O., Vuorinen V., Hulkkonen T., Keskinen K., Nuutinen M., Larmi M., et al. Large eddy simulation of high gas density effects in fuel sprays. Atom Sprays 2013, 23(4):297-325.
12. Bharadwaj N., Rutland C.J., Chang S. Large eddy simulation modelling of spray-induced turbulence effects. Int J Engine Res 2009, 10:121-132.
13. Rutland C.J. Large-eddy simulations for internal combustion engines - a review. Int J Engine Res 2011, 12:421-451.
14. Wehrfritz A., Vuorinen V., Kaario O., Larmi M. Large eddy simulation of high velocity fuel sprays: studying mesh resolution and breakup model effects for spray A. Atom Sprays 2013, 23(5):419-442.
15. Keskinen J-P, Vuorinen V, Larmi M. Large eddy simulation of flow over a valve in a simplified cylinder geometry. SAE Paper 2011-01-0843; 2011.
16. Keskinen J-P, Vuorinen V, Kaario O, Larmi M. Large eddy simulation of the intake flow in a realistic single cylinder configuration. SAE Paper 2012-01-0137; 2012.
17. Vermorel O. Towards the understanding of cyclic variability in a spark ignited engine using multi-cycle LES. Combust Flame 2009, 156:15251541.
18. Goryntsev D., Sadiki A., Klein M., Janicka J. Large eddy simulation based analysis of the effects of cycle-to-cycle variations on air-fuel mixing in realistic DISI IC-engines. Proc Combust Inst 2009, 32:2759-2766.
19. Yu R., Bai X.S. A semi-implicit scheme for large Eddy simulation of piston engine flow and combustion. Int J Numer Methods Fluids 2012, 10.1002/fld.
20. Lysenko D., Ertesvg I., Rian K. Modeling of turbulent separated flows using OpenFOAM. Comput Fluids 2012, 80(10):1-13.
21. Flores F., Garreaud R., Munoz R.C. CFD simulations of turbulent buoyant atmospheric flows over complex geometry: solver development in OpenFOAM. Comput Fluids 2012, 80:408-422.
22. Weller H. A tensorial approach to computational continuum mechanics using object-oriented techniques. Comput Phys 1998, 12:6.
23. Jasak H., Weller H. Application of the finite volume method and unstructured meshes to linear elasticity. Int J Numer Meth Eng 2000, 48:267-287.
24. Greenshields C., Weller H., Gasparini L., Reese J. Implementation of semi-discrete, non-staggered central schemes in a colocated, polyhedral, finite volume framework for high-speed viscous flows. Int J Numer Meth Fluids 2009, 63(1):1-21.
25. Tukovic Z., Jasak H. A moving mesh finite volume interface tracking method for surface tension dominated interfacial fluid flow. Comput Fluids 2012, 55:70-84.
26. OpenCFD Ltd. User and programmer's guide; 2012. <>. http://www.openfoam.com.
27. Vuorinen V., Hillamo H., Kaario O., Larmi M., Fuchs L. Large eddy simulation of droplet stokes number effects on turbulent spray shape. Atom Sprays 2010, 20(2):93-114.
28. Vuorinen V., Hillamo H., Kaario O., Larmi M., Fuchs L. Large eddy simulation of droplet stokes number effects on mixture quality in fuel sprays. Atom Sprays 2010, 20(5):435-451.
29. Vuorinen V., Larmi M., Sclatter P., Fuchs L., Boersma B. A low-dissipative, scale-selective discretization scheme for the Navier-Stokes equations. Comput Fluids 2012, 70(30):195-205.
30. Vuorinen V., Duwig C., Yu J., Tirunagari S., Kaario O., Larmi M., et al. Large-eddy simulation of highly underexpanded transient gas jets. Phys Fluids 2013, 25:016101.
31. Vuorinen V., Wehrfritz A., Yu J., Kaario O., Larmi M., Boersma B. Large-eddy simulation of subsonic jets. J Phys: Conf Ser 2011, 318:032052.
32. Ni M., Abdou M. A bridge between projection methods and SIMPLE type methods for incompressible Navier-Stokes equations. Int J Numer Meth Eng 2007, 72:1490-1512.
33. Chorin A.J. Numerical solution of the Navier-Stokes equations. Math Comput 1968, 22:745-762.
34. Temam R. Une méthode d'approximation des solutions des équations Navier-Stokes. Bull Soc Math France 1968, 98:115-152.
35. Jameson A, Schmidt W, Turkel E. Numerical simulation of the euler equations by finite volume methods using Runge-Kutta time-stepping schemes. In: AIAA 5th computational fluid dynamics conference. AIAA Paper 81-1259; 1981.
36. Rhie C.M., Chow W.L. Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J 1983, 21(11):1525-1532.
37. Udwadia, Firdaus E., Faragani A. Accelerated Runge-Kutta methods. Discrete Dyn Nat Soc 2008, 2008:790619.
38. Schiesser W.E. Computational mathematics in engineering and applied science: ODEs, DAEs and PDEs 1994, CRC Press, ISBN 0-8493-7373-5.
39. Duwig C., Salewski M., Fuchs L. Large eddy simulation of a turbulent flow past two symmetric backward-facing steps: a sensitivity analysis. AIAA J 2008, 46(2):408-419.
40. Jasak H., Jemcov A., Maruszewski J.P. Preconditioned linear solvers for large eddy simulation. 15th Annual conference of the CFD society of Canada, May 27-31, 2007 2007, CFD Society of Canada.
41. Shashank, Larson J., Iaccarino G. A co-located incompressible Navier-Stokes solver with exact mass, momentum and kinetic energy conservation in the inviscid limit. J Comput Phys 2010, 229:4425-4430.
42. Erturk E., Corke T., Gökcöl Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers. Int J Numer Meth Fluids 2007, 72:1490-1512.
43. Sengupta T.K., Dipankar A., Sagaut P. Error dynamics: beyond von Neumann analysis. J Comput Phys 2007, 226:1211-1218.
44. Rajpoot M.K., Sengupta T.K., Dutt P.K. Optimal time advancing dispersion relation preserving schemes. J Comput Phys 2010, 229:3623-3651.