×

zbMATH — the first resource for mathematics

Implementation of an iterative algorithm for the coupled heat transfer in case of high-speed flow around a body. (English) Zbl 1410.76172
Summary: Results of an investigation of a numerical technique for the coupled heat transfer problem solved for an atmospheric supersonic flying vehicle and flow around it are presented. An iterative numerical algorithm and software package are developed for heat transfer simulation in a flying vehicle structure during its motion in the atmosphere. The convergence of variants of the iterative process for solution matching on the surface with ideal thermal contact is studied. Results of the numerical experiment confirm the obtained theoretical estimates.
MSC:
76M10 Finite element methods applied to problems in fluid mechanics
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65Y15 Packaged methods for numerical algorithms
76-04 Software, source code, etc. for problems pertaining to fluid mechanics
76J20 Supersonic flows
76N15 Gas dynamics, general
76V05 Reaction effects in flows
76L05 Shock waves and blast waves in fluid mechanics
Software:
FEAPpv; OpenFOAM; SALOME
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Giles, M., Stability analysis of numerical interface conditions in fluid-structure thermal analysis, Int J Numer Meth Fluids, 25, 421-436, (1997) · Zbl 0891.76058
[2] Henshaw, W.; Chand, K., A composite grid solver for conjugate heat transfer in fluid-structure systems, J Comp Phys, 228, 2708-3741, (2009) · Zbl 1396.80006
[3] Monge, A.; Birken, P., On the convergence rate of the Dirichlet-Neumann iteration for unsteady thermal fluid-structure interaction, Comput Mech, 17, (2017)
[4] Verstraete, T.; Scholl, S., Stability analysis of partitioned methods for predicting conjugate heat transfer, Int J Heat Mass Transfer, 101, 852-869, (2016)
[5] Errera, M. P.; Duchaine, F., Comparative study of coupling coefficients in Dirichlet-Robin procedure for fluid-structure aerothermal simulations, J Comp Phys, 312, 218-234, (2016) · Zbl 1351.76058
[6] Kuntz, D. W.; Hassan, B.; Potter, D. L., Predictions of ablating hypersonic vehicles using an iterative coupled fluid/thermal approach, J Thermophys Heat Transf, 15, 2, 129-139, (2001)
[7] The OpenFOAM foundation. http://www.openfoam.org/index.php.
[8] Zienkiewicz, O. C.; Taylor, R. L.; Zhu, J. Z., The finite element method: its basis and fundamentals, 756, (2013), Butterworth-Heinemann · Zbl 1307.74005
[9] Toro, E. F., Riemann solvers and numerical methods for fluid dynamics, 724, (2009), Springer · Zbl 1227.76006
[10] Carslaw, H. S.; Jaeger, J. C., Conduction of heat in solids, 520, (1986), Oxford University Press · Zbl 0584.73001
[11] Yanenko, N. N., The method of fractional steps: the solution of problems of mathematical physics in several variables, 160, (1971), Springer-Verlag · Zbl 0209.47103
[12] Greenshields, C. J.; Weller, H. G.; Gasparini, L.; Reese, J. M., 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, 63, 1, 1-21, (2009) · Zbl 1425.76163
[13] Kurganov, A.; Noelle, S.; Petrova, G., Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton — Jacobi equations, SIAM J Sci Comput, 23, 1, 707-740, (2001) · Zbl 0998.65091
[14] Kurganov, A.; Tadmor, E., New high-resolution central schemes for nonlinear conservation laws and convection — diffusion equations, J Comput Phys, 160, 1, 241-282, (2000) · Zbl 0987.65085
[15] Samarsky, A. A., The theory of difference schemes, 788, (2001), CRC Press
[16] U.S. standard atmosphere. u.s. government printing office. 1976. Washington, D.C.243.
[17] Sutherland, W., The viscosity of gases and molecular force, Philos Mag Ser 5, 36, 223, 507-531, (1893) · JFM 25.1544.01
[18] Salome: The open source integration platform for numerical simulation. http://www.salome-platform.org.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.