Numerical solution of hyperbolic heat conduction equation
作者： Raimondas Čiegis
DOI: 10.3846/1392-6292.2009.14.11-24
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摘要: Abstract Hyperbolic heat conduction problem is solved numerically. The explicit and implicit Euler schemes are constructed investigated. It shown that the scheme can be used to solve efficiently parabolic hyperbolic problems. This unconditionally stable for both For many integration methods strong numerical oscillations present, when initial boundary conditions discontinuous problem. In order regularize scheme, a simple linear relation between time space steps proposed, which automatically introduces sufficient amount of viscosity. Results experiments presented.
informaworld.com参考文章(16)
R. Čiegis, A. Dement’ev, G. Jankevičiūtė, Numerical analysis of the hyperbolic two-temperature model Lithuanian Mathematical Journal. ,vol. 48, pp. 46- 60 ,(2008) , 10.1007/S10986-008-0005-6
Mehrdad T. Manzari, Majid T. Manzari, On numerical solution of hyperbolic heat conduction Communications in Numerical Methods in Engineering. ,vol. 15, pp. 853- 866 ,(1999) , 10.1002/(SICI)1099-0887(199912)15:12<853::AID-CNM293>3.0.CO;2-V
Randall J. LeVeque, Numerical methods for conservation laws ,(1990)
Raimondas Čiegis, Audrius Ilgevičius, Heinz Liess, Mečislavas Meilūnas, Olga Suboč, Numerical simulation of the heat conduction in electrical cables Mathematical Modelling and Analysis. ,vol. 12, pp. 425- 439 ,(2007) , 10.3846/1392-6292.2007.12.425-439
Yang Haitian, Gao Qiang, A Precise time stepping scheme to solve hyperbolic and parabolic heat transfer problems with radiative boundary condition Heat and Mass Transfer. ,vol. 39, pp. 571- 577 ,(2003) , 10.1007/S00231-002-0407-7
Scott A. Sarra, SPECTRAL METHODS WITH POSTPROCESSING FOR NUMERICAL HYPERBOLIC HEAT TRANSFER Numerical Heat Transfer Part A-applications. ,vol. 43, pp. 717- 730 ,(2003) , 10.1080/713838126
R. Čiegis, O. Iliev, Z. Lakdawala, On parallel numerical algorithms for simulating industrial filtration problems Computational Methods in Applied Mathematics Comput. ,vol. 7, pp. 118- 134 ,(2007) , 10.2478/CMAM-2007-0007
Vadimas Starikovičius, Raimondas čiegis, Oleg Iliev, Zhara Lakdawala, A Parallel Solver for the 3D Simulation of Flows Through Oil Filters Springer, New York, NY. pp. 181- 191 ,(2009) , 10.1007/978-0-387-09707-7_16
Aivars Zemitis, Raimondas Čiegis, Areti Papastavrou, Additive Splitting Methods for Elliptic-Parabolic Problems. Annali Dell'universita' Di Ferrara. ,vol. 46, pp. 291- 306 ,(2000) , 10.1007/BF02837304
Alexander A Samarskii, None, The Theory of Difference Schemes ,(2001)