A NEW FINITE-DIFFERENCE METHOD FOR THE NONLINEAR INVERSE HEAT CONDUCTION PROBLEM

作者: M. Raynaud , J. Bransier

DOI: 10.1080/10407788608913463

关键词:

摘要: A new space-marching finite-difference algorithm is developed to solve the nonlinear inverse heat conduction problem. This algorithm uses interior temperature measurements at future times to estimate the surface heat flux. The results of this method are compared on a test case with four other numerical schemes. The method is as accurate as the method developed by Beck [1] and uses a smaller computational time. This scheme is also employed to estimate the effects of different types of experimental errors on the estimation of …

参考文章(24)
MURRAY IMBER, JAMAL KHAN, Prediction of Transient Temperature Distributions with Embedded Thermocouples AIAA Journal. ,vol. 10, pp. 784- 789 ,(1972) , 10.2514/3.50211
S. D. Williams, Donald M. Curry, An analytical and experimental study for surface heat flux determination Journal of Spacecraft and Rockets. ,vol. 14, pp. 632- 637 ,(1977) , 10.2514/3.27987
G. Stolz, Numerical Solutions to an Inverse Problem of Heat Conduction for Simple Shapes Journal of Heat Transfer. ,vol. 82, pp. 20- 25 ,(1960) , 10.1115/1.3679871
K. C. Woo, L. C. Chow, Inverse Heat Conduction by Direct Inverse Laplace Transform Numerical Heat Transfer Part A-applications. ,vol. 4, pp. 499- 504 ,(1981) , 10.1080/01495728108961807
O. R. Burggraf, An Exact Solution of the Inverse Problem in Heat Conduction Theory and Applications Journal of Heat Transfer. ,vol. 86, pp. 373- 380 ,(1964) , 10.1115/1.3688700
James V. Beck, Surface heat flux determination using an integral method Nuclear Engineering and Design. ,vol. 7, pp. 170- 178 ,(1968) , 10.1016/0029-5493(68)90058-7
Charles F. Weber, Analysis and solution of the ill-posed inverse heat conduction problem International Journal of Heat and Mass Transfer. ,vol. 24, pp. 1783- 1792 ,(1981) , 10.1016/0017-9310(81)90144-7
K. Miller, G. A. Viano, On the necessity of nearly‐best‐possible methods for analytic continuation of scattering data Journal of Mathematical Physics. ,vol. 14, pp. 1037- 1048 ,(1973) , 10.1063/1.1666435