Numerical analysis for hyperbolic heat conduction
作者： Chen Han-Taw , Lin Jae-Yuh
DOI: 10.1016/0017-9310(93)90108-I
关键词: Mathematical analysis 、 Courant–Friedrichs–Lewy condition 、 Laplace transform applied to differential equations 、 Laplace transform 、 Numerical analysis 、 Hyperbolic partial differential equation 、 Relativistic heat conduction 、 Thermal conduction 、 Physics 、 Discretization
摘要: Abstract A new numerical simulation of the hyperbolic heat conduction problem is investigated. The primary difficulty encountered in solution such a oscillations vicinity sharp discontinuities. In this work, it shown that hybrid technique based on Laplace transform and control volume methods can successfully be applied to suppress these oscillations. method used remove time-dependent terms, then transformed equations are discretized by scheme. Various comparative examples involving nonlinear with surface radiation composite region illustrated verify accuracy present method. Due application method, does not need consider effects Courant number results.
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